Second Virial Coefficient (B), Function of Temperature

Description

The function BT(Temp,digits=9) returns the second virial coefficient, B [ m3 kg-1 ], for a given T [K].

Usage

BT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The second virial coefficient: B [ m3 kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
B_T <- BT(Temp)
B_T

Third Virial Coefficient (C), Function of Temperature

Description

The function CT(Temp,digits=9) returns the third virial coefficient, C [ m3 kg-1 ]**2, for a given Temp [K].

Usage

CT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The second virial coefficient: C [ m3 kg-1 ]**2 and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
C_T <- CT(Temp)
C_T

Thermal Conductivity, Function of Temperature and Density

Description

The function CndTD(Temp,D,digits=9) calculates the Thermal Conductivity, k [ W m-1 K-1 ] for given Temp [K] and D [kg/m3], returning the computed thermal conductivity and an error message if an error occur.

Usage

CndTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the equations developed by the International Association for the Properties of Water and Steam, valid from the triple point to the pressure of 1000 MPa and temperature of 1173.15K. https://iapws.org/relguide/ThCond.html

Value

The Thermal Conductivity: k [ W m-1 K-1 ] and an Error message if necessary

Examples

Temp <- 500.
D <- 838.025
Cond <- CndTD(Temp,D)
Cond

Specific Isobaric Heat Capacity, Function of Temperature and Density

Description

The function CpTD(Temp,D,digits=9) returns the Specific Isobaric Heat Capacity, Cp [ kJ kg-1 K-1 ], for given Temp [K] and D [kg/m3].

Usage

CpTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Isobaric Heat Capacity: Cp [ kJ kg-1 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
Cp <- CpTD(Temp,D)
Cp

Specific Isobaric Heat Capacity, Function of Temperature and Pressure

Description

The function CpTp(Temp,p,digits=9) returns the Specific Isobaric Heat Capacity, Cp [ kJ kg-1 K-1 ], for given Temp [K] and D [kg/m3].

Usage

CpTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Isobaric Heat Capacity: Cp [ kJ kg-1 K-1 ] and an (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
Cp <- CpTp(Temp,p)
Cp

Specific Isobaric Heat Capacity of Fluid Phase, Function of Temperature

Description

The function CpfT(Temp,digits=9) returns the Isobaric Heat Capacity of Fluid Phase [kJ kg-1 K-1], Cpf, for given T [K].

Usage

CpfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isobaric Heat Capacity of Fluid Phase: Cpf [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Cpf <- CpfT(Temp)
Cpf

Specific Isobaric Heat Capacity of Gas Phase, Function of Temperature

Description

The function CpgT(Temp,digits=9) returns the Isobaric Heat Capacity of Gas Phase [kJ kg-1 K-1], Cpg, for given Temp [K].

Usage

CpgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isobaric Heat Capacity of Gas Phase: Cpg [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Cpg <- CpgT(Temp)
Cpg

Specific Isochoric Heat Capacity, Function of Temperature and Density

Description

The function CvTD(Temp,D,digits=9) returns the Specific Isochoric Heat Capacity, Cv [ kJ kg-1 K-1 ], for given Temp [K] and D [kg/m3].

Usage

CvTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Isochoric Heat Capacity: Cv [ kJ kg-1 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
Cv <- CvTD(Temp,D)
Cv

Specific Isochoric Heat Capacity, Function of Temperature and Pressure

Description

The function CvTp(Temp,p,digits=9) returns the Specific Isochoric Heat Capacity, Cv [ kJ kg-1 K-1 ], for given Temp [K] and D [kg/m3].

Usage

CvTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Isochoric Heat Capacity: Cv [ kJ kg-1 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
Cv <- CvTp(Temp,p)
Cv

Specific Isochoric Heat Capacity of Fluid Phase, Function of Temperature

Description

The function CvfT(Temp,digits=9) returns the Isochoric Heat Capacity of Fluid Phase [kJ kg-1 K-1], Cvf, for given Temp [K].

Usage

CvfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isochoric Heat Capacity of Fluid Phase: Cvf [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Cvf <- CvfT(Temp)
Cvf

Specific Isochoric Heat Capacity of Gas Phase, Function of Temperature

Description

The function CvgT(Temp,digits=9) returns the Isochoric Heat Capacity of Gas Phase [kJ kg-1 K-1], Cvg, for given Temp [K].

Usage

CvgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isochoric Heat Capacity of GaS Phase: Cvg [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Cvg <- CvgT(Temp)
Cvg

Water Critical Density

Description

The function DCrit() returns the water density at the critical point [kg m-3].

Usage

DCrit()

Value

The Water Critical Density: Dc [kg m-3]

Examples

DC <- DCrit()
DC

Density, Function of Temperature and Enthalpy

Description

The function DTh(Temp,h,digits=9) returns the water density, D [ kg m-3 ], for given Temp [K] and h [ kJ kg-1 ] (it may have two solutions for Density).

Usage

DTh(Temp, h, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density 1: Density_1 [ kg m-3 ]

The Density 2: Density_2 [ kg m-3 ]

Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
h <- 977.181624
D_Th <- DTh(Temp,h)
D_Th

Density, Function of Temperature and Pressure

Description

The function DTp(Temp,p,digits=9) returns the water density, D [ kg m-3 ], for given Temp [K] and D [kg/m3].

Usage

DTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density: D [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
D <- DTp(Temp,p)
D

Table of Densities, Function of Temperature for Fixed Pressure

Description

The function DTpcteTab(T1, T2, dT, p) returns a table of densities [kg m-3] for a fixed p [MPa] within a range of Temp [K]: T1:T2 [K].

Usage

DTpcteTab(T1, T2, dT, p)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Densities for fixed p and a T Interval: T1:T2.

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
p <- 5.
TabD <- DTpcteTab(T1, T2, dT, p)
TabD

T1 <- 300.
T2 <- 500.
dT <- 10.
p <- 10.
TabD <- DTpcteTab(T1, T2, dT, p)
TabD

Density, Function of Temperature and Entropy

Description

The function DTs(Temp,s,digits=9) returns the water density, D [ kg m-3 ], for given Temp [K] and s [ kJ k-1 K-1 ].

Usage

DTs(Temp, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density: D [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
s <- 2.56690919
D_Ts <- DTs(Temp,s)
D_Ts

Saturated Liquid Density, Function of Temperature

Description

The function DfT(Temp,digits=9) returns the saturated liquid density [kg m-3], Df, for given Temp [K].

Usage

DfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated liquid density: Df [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Df <- DfT(Temp)
Df

Liquid Water Density at Triple Point

Description

The function DfTr() returns the Water Liquid Density at Triple Point.

Usage

DfTr()

Value

Triple Point Liquid Density: DfTr [ kg m-3 ]

Examples

DfTrip <- DfTr()
DfTrip

Saturated Liquid Density, Funtion of Pressure

Description

The function Dfp(p,digits=9) returns the saturated liquid density [kg m-3], Df, for given p [ MPa ].

Usage

Dfp(p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated liquid density: Df [kg m-3] and an Error Message (if an error occur: errorCodes)

Examples

p <- 0.932203564
Df <- Dfp(p)
Df

Saturated Liquid Density, Function of Entropy

Description

The function Dfs(s,digits=9) returns the saturated liquid density [kg m-3], Df, for given s [kJ kg-1 K-1].

Usage

Dfs(s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated Liquid density: Df [kg m-3] and an Error Message (if an error occur: errorCodes)

Examples

s <- 2.10865845
Df <- Dfs(s)
Df

Saturated Gas Density, Function of Temperature

Description

The function DgT(Temp,digits=9) returns the saturated gas density [kg m-3], Dg, for given Temp [K].

Usage

DgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated gas density: Dg [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
Dg <- DgT(Temp)
Dg

Water Gas Density at Triple Point

Description

The function DgTr() returns the Water Gas Density at Triple Point.

Usage

DgTr()

Value

Triple Gas Density: DgTr [ kg m-3 ]

Examples

DgTrip <- DgTr()
DgTrip

Saturated Gas Density, Function of Pressure

Description

The function Dgp(p,digits=9) returns the saturated gas density [kg m-3], Dg, for given p [ MPa ].

Usage

Dgp(p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated gas density: Dg [kg m-3] and an Error Message (if an error occur: errorCodes)

Examples

p <- 0.932203564
Dg <- Dgp(p)
Dg

Saturated Gas Density, Function of Entropy

Description

The function Dgs(s,digits=9) returns the saturated gas density [kg m-3], Dg, for given s [kJ kg-1 K-1].

Usage

Dgs(s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated Gas density: Dg [kg m-3] and an Error Message (if an error occur: errorCodes)

Examples

s <- 5.4731
Dg <- Dgs(s)
Dg

Density, Function of Enthalpy and Entropy

Description

The function Dhs(h,s,digits=9) returns the water density, D [ kg m-3 ], for given h [kJ k-1] and s [ kJ k-1 K-1 ].

Usage

Dhs(h, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density: D [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

h <- 977.181624
s <- 2.56690919
D_hs <- Dhs(h,s)
D_hs

Table of Densities, Function of Pressure for a Fixed Temperature

Description

The function DpTcteTab(p1, p2, dp, Temp) returns a table of Densities [kg m-3] for a fixed Temp [K] within a range of p [MPa]: p1:p2 [MPa]

Usage

DpTcteTab(p1, p2, dp, Temp)

Arguments

Details

This function provides a table of the densities [kg m-3] for a given Temp [K] within a range of p [MPa]

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Densities for fixed T and a p Interval: p1:p2.

Examples

p1 <- 1.0
p2 <- 10.
dp <- 1.
Temp <- 500.
TabD <- DpTcteTab(p1, p2, dp, Temp)
TabD

p1 <- 10.
p2 <- 100.
dp <- 10.
Temp <- 450.
TabD <- DpTcteTab(p1, p2, dp, Temp)
TabD

Density, Function of Pressure and Enthalpy

Description

The function Dph(p,h,digits=9) returns the water density, D [ kg m-3 ], for given p [MPa] and h [ kJ k-1 ].

Usage

Dph(p, h, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density: D [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
h <- 977.181624
D_ph <- Dph(p,h)
D_ph

Density, Function of Pressure and Entropy

Description

The function Dps(p,s,digits=9) returns the water density, D [ kg m-3 ], for given p [MPa] and s [ kJ k-1 K-1 ].

Usage

Dps(p, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density: D [ kg m-3 ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
s <- 2.56690919
D_ps <- Dps(p,s)
D_ps

Fugacity, Function of Temperature and Pressure

Description

The function FugaTp(Temp,p,digits=9) returns the Fugacity, [ MPa ], for given Temp [K] and D [kg/m3].

Usage

FugaTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Fugacity: Fuga [ MPa ] and an (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
Fuga <- FugaTp(Temp,p)
Fuga

Specific Gibbs Energy, Function of Temperature and Pressure

Description

The function GibbsTp(Temp,p,digits=9) returns the Specific Gibbs Energy, [ MPa ], for given Temp [K] and D [kg/m3].

Usage

GibbsTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Gibbs Energy: Gibbs [ MPa ] and an (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
Gibbs <- GibbsTp(Temp,p)
Gibbs

Joule-Thomson Coefficient, Function of Temperature and Density

Description

The function JTcTD(Temp,D,digits=9) returns the Joule-Thomson coefficient for given Temp [K] and D [kg/m3].

Usage

JTcTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273. The temperature change produced during a Joule-Thomson expansion is quantified by the Joule-Thomson coefficient, which may be positive (cooling) or negative (heating).

Value

The Joule-Thomson coefficient and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
JT <- JTcTD(Temp,D)
JT

Kinematic Viscosity, Function of Temperature and Density

Description

The function KViscTD(Temp,D,digits=9) computes the Kinematic Viscosity [ m2 s-1 ] for given T [K] and D [kg/m3], returning the calculated viscosity and an error message, if an error occur. errorCodes

Usage

KViscTD(Temp, D, digits = 9)

Arguments

Details

This function calculates the Kinematic Viscosity that is the relation ViscTD(D,Temp)/D, valid from the triple point to the pressure of 1000 MPa and temperature of 1173.15K.

Value

The Kinematic viscosity: [ m2 s-1 ] and an Error Message (if an error occur)

Examples

Temp <- 500.
D <- 838.025
KVis <- KViscTD(Temp,D)
KVis

Isothermal Compressibility, Function of Temperature and Density

Description

The function KapaTD(Temp,D,disgits=9) returns the Isothermal Compressibility, Kapa, for given Temp [K] and D [kg m-3].

Usage

KapaTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isothermal Compressibility: Kapa [ MPa-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
Kapa <- KapaTD(Temp,D)
Kapa

Prandt Number, Function of Temperature and Density

Description

The function PrandtTD(Temp,D,digits=9) computes the Prandt Number, i.e., the product of the dynamic viscosity by the specific isobaric heat capacity, divided by the thermal conductivity of water for given T [K] and D [kg/m3].

Usage

PrandtTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that computes the Prandt Number, valid from the triple point to the pressure of 1000 MPa and temperature of 1173.15K.

Value

The Prandt Number: Pr [ - ]

Error message (if an error occur)

Examples

Temp <- 500.
D <- 838.025
Pran <- PrandtTD(Temp,D)
Pran

Water Specific Gas Constant

Description

The function Rwater() returns the Water Specific Gas Constant.

Usage

Rwater()

Value

Water Specific Gas Constant: R [ K-1 ]

Examples

Rw <- Rwater()
Rw

Surface Tension, Function of Temperature

Description

The function SigmaT(Temp,digits=9) computes the Surface Tension [ mN m-1 ] for a given Temp [K], returning the calculated Surface Tension and an error message, if an error occur. errorCodes

Usage

SigmaT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the equations developed by the International Association for the Properties of Water and Steam, valid from the triple point to the critical temperature [ 273.13K to 647.096K]. https://iapws.org/relguide/Surf-H2O.html

Value

The Surface Tension: Sigma [ mN m-1 ] and an Error Message (if an error occur)

Examples

Temp <- 500.
Sig <- SigmaT(Temp)
Sig

Water Critical Temperature

Description

@description The function TCrit() returns the water critical temperature [K].

Usage

TCrit()

Value

The Water Critical Temperature: Tc [K]

Examples

Tc <- TCrit()
Tc

Temperature, Function of Density and Enthalpy

Description

The function TDh(D,h,digits=9) returns the water temperature, Temp [ K ], for given D [kg/m3] and h [ kJ kg-1 ].

Usage

TDh(D, h, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

D <- 838.025
h <- 977.181624
T_Dh <- TDh(D,h)
T_Dh

Temperature, Function of Density and Pressure

Description

The function TDp(D,p,digits=9) returns the water temperature, Temp [ K ], for given D [kg/m3] and p [ MPa ].

Usage

TDp(D, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

D <- 838.025
p <- 10.0003858
T_Dp <- TDp(D,p)
T_Dp

Temperature, Function of Density and Entropy

Description

The function TDs(D,s,digits=9) returns the water temperature, Temp [ K ], for given D [kg/m3] and s [ kJ kg-1 K-1 ].

Usage

TDs(D, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

D <- 838.025
s <- 2.56690919
T_Ds <- TDs(D,s)
T_Ds

Saturation Temperature, Function of Density

Description

The function TsatD(D,digits=9) returns the temperature [K], TSat, for given D [ kg m-3 ]: it may have two different values!

Usage

TSatD(D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The first saturation Temperature: TSat_1 [ K ]

The second saturation pressure: TSat_2 [ K ]

An Error Message (if an error occur: errorCodes)

Examples

D <- 890.341250
T_Sat <- TSatD(D)
T_Sat

D <- 999.887406
T_Sat <- TSatD(D)
T_Sat

Saturation Temperature, Function of pressure

Description

The function TSatp(p,digits=9) returns the temperature [K], TSat, for given p [ MPa ].

Usage

TSatp(p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Saturation Temperature: Tsat [ K ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 0.932203564
T_Sat <- TSatp(p)
T_Sat

Saturation Temperature, Function of Entropy

Description

The function TSats(s,digits=9) returns the temperature [K], TSat, for given s [kJ kg-1 K-1].

Usage

TSats(s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Saturation Temperature: Tsat [ K ] and an Error Message (if an error occur: errorCodes)

Examples

s <- 2.10865845
T_Sat <- TSats(s)
T_Sat

Water Temperature at Triple Point

Description

The function TTr() returns the Water Temperature at Triple Point [K]

Usage

TTr()

Value

The Triple Point Temperature: TTr [ K ]

Examples

Ttrip <- TTr()
Ttrip

Isothermal Throttling Coefficient, Function of Temperature and Density

Description

The function ThrcTD(Temp,D,digits=9) returns the Isothermal Throttling Coefficient, Thrc, for given Temp [K] and D [kg m-3].

Usage

ThrcTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Isothermal Throttling Coefficient: Thrc [ kJ kg-1 MPa-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
Thrc <- ThrcTD(Temp,D)
Thrc

Temperature, Function of Enthalpy and Entropy

Description

The function Ths(h,s,digits=9) returns the water Temperature, Temp [ K ], for given h [kJ k-1] and s [ kJ k-1 K-1 ].

Usage

Ths(h, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

h <- 977.181624
s <- 2.56690919
T_hs <- Ths(h,s)
T_hs

Temperature, Function of Pressure and Enthalpy

Description

The function Tph(p,h,digits = 9) returns the water temperature, Temp [ K ], for given p [MPa] and h [ kJ k-1 ].

Usage

Tph(p, h, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
h <- 977.181624
T_ph <- Tph(p,h)
T_ph

Temperature, Function of Pressure and Entropy

Description

The function Tps(p,s,digits=9) returns the water temperature, Temp [ K ], for given p [MPa] and s [ kJ k-1 K-1 ].

Usage

Tps(p, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Temperature: Temp [ K ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
s <- 2.56690919
T_ps <- Tps(p,s)
T_ps

Dynamic Viscosity, Function of Temperature and Density

Description

The function ViscTD(Temp,D,digits=9) computes the Dynamic Viscosity [ Pa s ] for given Temp [K] and D [kg/m3], returning the computed viscosity and an error message, if an error occur. errorCodes

Usage

ViscTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the equations developed by the International Association for the Properties of Water and Steam, valid from the triple point to the pressure of 1000 MPa and temperature of 1173.15K. https://iapws.org/relguide/viscosity.html

Value

The Dynamic viscosity: [ Pa s ] and an Error Message (if an error occur)

Examples

Temp <- 500.
D <- 838.025
Vis <- ViscTD(Temp,D)
Vis

Vapor pressure, Function of Temperature

Description

The function Vp(Temp,digits=9) returns the vapor pressure, Vp [ kPa ], for a given Temp [K].

Usage

Vp(Temp, digits = 9)

Arguments

Details

This function solves the Wagner Equation (Wagner and Pruss (1993)) which gives one of the best fits to experimental data. It expresses reduced vapor pressure as a function of reduced temperature. This equation, for water, is valid from the temperature of 273.16 K to the critical temperature (624.096 K).

Compressibility Factor, Function of Temperature and Density

Description

The function ZTD(Temp,D,digits=9) returns the Compressibility Factor, Z [ - ], for given Temp [K] and D [kg/m3].

Usage

ZTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Compressibility Factor and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
z <- ZTD(Temp,D)
z

Density Derivative with respect to Temperature, Function of Temperature and Density

Description

The function dDdTTD(Temp,D,digits=9) returns the pressure derivative with respect to Density, dpdD, for given Temp [K] and D [kg m-3].

Usage

dDdTTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density Derivative with respect to T: dD/dTemp [ kg m-3 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
dDdTemp <- dDdTTD(Temp,D)
dDdTemp

Density Derivative with respect to Temperature, Function of Temperature and Pressure

Description

The function dDdTTp(Temp,p,digits=9) returns the Density derivative with respect to Temperature, dDdTemp, for given Temp [K] and p [MPa].

Usage

dDdTTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Density derivative with respect to Temp: dD/dTemp [ kg m-3 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
dDdTemp <- dDdTTp(Temp,p)
dDdTemp

Pressure Derivative with respect to Density, Function of Temperature and Density

Description

The function dpdDTD(Temp,D,digits=9) returns the pressure derivative with respect to Density, dpdD, for given T [K] and D [kg m-3].

Usage

dpdDTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The pressure derivative with respect to D: dp/dD [ MPa kg-1 m3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
dpdD <- dpdDTD(Temp,D)
dpdD

Pressure Derivative with respect to Density, Function of Temperature and Pressure

Description

The function dpdDTp(Temp,p) returns the pressure derivative with respect to Density, dpdD, for given Temp [K] and p [MPa].

Usage

dpdDTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The pressure derivative with respect to d: dp/dD [ MPa kg-1 m3 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
dpdD <- dpdDTp(Temp,p)
dpdD

Pressure Derivative with Respect to Temperature, Function of Temperature and Density

Description

The function dpdTTD(Temp,D,digits=9) returns the pressure derivative with respect to Temperature, dpdT, for given Temp [K] and D [kg/m3].

Usage

dpdTTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The pressure derivative with respect to Temp: dp/dTemp [ MPa K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
dpdTemp <- dpdTTD(Temp,D)
dpdTemp

Pressure Derivative with respect to Temperature, Function of Temperature and Pressure

Description

The function dpdTTp(Temp,p,digits=9) returns the pressure derivative with respect to Temperature, dpdTemp, for given Temp [K] and p [MPa].

Usage

dpdTTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The pressure derivative with respect to Temp: dp/dTemp [ MPa K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
dpdTemp <- dpdTTp(Temp,p)
dpdTemp

Error Codes

Description

Error codes due values out of validity range, incorrect inputs, and/or convergence issues

Usage

errorCodes

Format

An object of class data.frame with 21 rows and 2 columns.

Source

errorCodes.rda

Helmholtz Free Energy, Function of Temperature and Density

Description

The function fTD(T,D,digits=9) returns the Helmholtz Free Energy, f [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

fTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Helmholtz Free Energy: f [ kJ kg-1 ] and an Error Message if an error occur: errorCodes

Examples

Temp <- 500.
D <- 838.025
f <- fTD(Temp,D)
f

Helmholtz Free Energy, Function of Temperature and Pressure

Description

The function fTp(Temp,p,digits=9) returns the Helmholtz Free Energy, f [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

fTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Helmholtz Free Energy: f [ kJ kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
f <- fTp(Temp,p)
f

Water Critical Enthalpy

Description

@description The function hCrit() returns the water enthalpy at the critical point [kJ kg-1].

Usage

hCrit()

Value

The Water Critical Enthalpy: hc [ kJ kg-1 ]

Examples

hC <- hCrit()
hC

Specific Enthalpy, Function of Temperature and Density

Description

The function hTD(Temp,D,digits=9) returns the Specific Enthalpy, h [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

hTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Enthalpy: h [ kJ kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
h <- hTD(Temp,D)
h

Specific Enthalpy, Function of Temperature and Pressure

Description

The function hTp(Temp,p,digits=9) returns the Specific Enthalpy, h [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

hTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Enthalpy: h [ kJ kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
h <- hTp(Temp,p)
h

Table of Enthalpies, Function of Temperature and Fixed Pressure

Description

The function hTpcteTab(T1, T2, dT, p) returns a table of enthalpies [kJ kg-1] for a fixed p [MPa] within a range of Temp [K]: T1:T2 [K]

Usage

hTpcteTab(T1, T2, dT, p)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Enthalpies for fixed p and a T Interval: T1:T2.

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
p <- 5.
Tabh <-  hTpcteTab(T1, T2, dT, p)
Tabh

T1 <- 300.
T2 <- 500.
dT <- 10.
p <- 10.
Tabh <- hTpcteTab(T1, T2, dT, p)
Tabh

Saturated Liquid Enthalpy, Function of Temperature

Description

The function hfT(Temp,digits=9) returns the saturated liquid enthalpy [kJ kg-1], hf, for given Temp [K].

Usage

hfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated liquid enthalpy: hf [kJ kg-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
hf <- hfT(Temp)
hf

Saturated Gas Enthalpy, Function of Temperature

Description

The function hgT(Temp,digits=9) returns the saturated gas enthalpy [kJ kg-1], hg, for given Temp [K].

Usage

hgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated gas enthalpy: hg [kJ kg-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
hg <- hgT(Temp)
hg

Table of Enthalpies, Function of Pressure for Fixed Temperature

Description

The function hpTcteTab(p1, p2, dp, Temp) returns a table of Enthalpies [kJ kg-1] for a fixed Temp [K] within a range of p [MPa]: p1:p2 [MPa]

Usage

hpTcteTab(p1, p2, dp, Temp)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Enthalpies for fixed T and a p Interval: p1:p2.

Examples

p1 <- 1.0
p2 <- 10.
dp <- 1.
Temp <- 500.
Tabh <- hpTcteTab(p1, p2, dp, Temp)
Tabh

p1 <- 10.
p2 <- 100.
dp <- 10.
Temp <- 450.
Tabh <- hpTcteTab(p1, p2, dp, Temp)
Tabh

Enthalpy, Function of Pressure and Entropy

Description

The function hps(p,s,digits=9) returns the water enthalpy, h [ kJ kg-1 ], for given p [MPa] and s [ kJ k-1 K-1 ].

Usage

hps(p, s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Enthalpy: h [ kJ kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
s <- 2.56690919
h_ps <- hps(p,s)
h_ps

Water Critical Pressure

Description

This function pCrit() returns the water critical pressure [MPa].

Usage

pCrit()

Value

The Water Critical Pressure: pc [MPa]

Examples

pc <- pCrit()
pc

Melting Pressure, Function of Temperature

Description

The function pMeltT(Temp,digits=9) returns the water melting pressure, pMelt [ MPa ], for a given Temp [K].

Usage

pMeltT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the equations given at the Revised Release on the Pressure along the Melting and Sublimation Curves of Ordinary Water Substance (September 2011), developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/MeltSub.html. It is valid from the Temperature of 256.164 [K] to the Temperature of 715 [K].

Value

The melting pressure: pMelt [ MPa ] for regions III, V , VI and VII

The melting pressure: pMeltIh [ MPa ] for region Ih

The sublimation pressure: pSubl [ MPa ], below triple point Temperature

Error message (if an error occur)

Examples

Temp <- 275.
p_Melt <- pMeltT(Temp)
p_Melt

Saturation Pressure, Function of Density

Description

The function pSatD(D,digits=9) returns the saturation pressure [MPa], pSat, for given D [ kg m-3 ]: it may have two different values!

Usage

pSatD(D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The first saturation pressure: pSat_1 [ MPa ]

The second saturation pressure: pSat_2 [ MPa ]

An Error Message (if an error occur: errorCodes)

Examples

D <- 890.341250
p_Sat <- pSatD(D)
p_Sat

D <- 999.887406
p_Sat <- pSatD(D)
p_Sat

Saturation Pressure, Function of Temperature

Description

The function pSatT(T,digits=9) returns the saturation pressure [MPa], pSat, for given Temp [K].

Usage

pSatT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturation pressure: pSat [ MPa ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
p_Sat <- pSatT(Temp)
p_Sat

Saturation Pressure, Function of Entropy

Description

The function pSats(s,digits=9) returns the saturation pressure [MPa], pSat, for given s [kJ kg-1 K-1].

Usage

pSats(s, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturation pressure: pSat [ MPa ] and an Error Message (if an error occur: errorCodes)

Examples

s <- 2.10865845
p_Sat <- pSats(s)
p_Sat

Pressure, Function of Temperature and Density

Description

The function pTD(T,D,digits=9) returns the water pressure, p [ MPa ], for given Temp [K] and D [kg/m3], returning also an error message, if any error occur.

Usage

pTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Pressure: p [ MPa ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
p <- pTD(Temp,D)
p

Temp <- 647.096
D <- 322.
p <- pTD(Temp,D)
p

Water Pressure at Triple Point

Description

The function pTr() returns the Water Pressure at Triple Point [MPa].

Usage

pTr()

Value

The Triple Point Pressure: pTr [ MPa ]

Examples

pTrip <- pTr()
pTrip

Ideal-Gas part of the Dimensionless Helmholtz Energy Equation, Function of Temperature and Density

Description

The function phi0(Temp,D,digits=9) returns the Ideal-gas part of the dimensionless Helmholtz Energy Equation, phi0, for given Temp [K] and D [kg/m3].

Usage

phi0(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Ideal-gas part of the Helmholtz Energy Equation: phi0 and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phi_0 <- phi0(Temp,D)
phi_0

First Derivative of the Ideal-Gas part of the Dimensionless Helmholtz Energy Equation with respect to Density, Function of Density

Description

The function phi0D(D,digits=9) returns the First Derivative of the Ideal-gas part of the dimensionless Helmholtz Energy Equation for a given D [kg/m3].

Usage

phi0D(D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The First D Derivative of Ideal-gas part of the Helmholtz Energy: phi0D and an Error Message (if an error occur: errorCodes)

Examples

D <- 838.025
phi_0 <- phi0D(D)
phi_0

Second Derivative of the Ideal-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Density, Function of Density

Description

The function phi0DD(D,digits=9) returns the Second Derivative of the Ideal-gas part of the dimensionless Helmholtz Energy Equation for a given D [kg/m3].

Usage

phi0DD(D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second D Derivative of Ideal-gas part of the Helmholtz Energy: phi0DD and an Error Message (if an error occur: errorCodes)

Examples

D <- 838.025
phi_0 <- phi0DD(D)
phi_0

Second Derivative of the Ideal-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Density and Temperature

Description

The function phi0DT(digits=9) returns the Second Derivative of the Ideal-gas Part of the Dimensionless Helmholtz Energy Equation with respect to Density and Temperature.

Usage

phi0DT(digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second DT Derivative of Ideal-gas Part of the Helmholtz Energy: phi0DT and an Error Message (if an error occur: errorCodes)

Examples

phi0_DT <- phi0DT()
phi0_DT

First Derivative of the Ideal-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temperature, Function of Temperature and Density

Description

The function phi0T(Temp,D,digits=9) returns the First Derivative of the Ideal-gas Part of the dimensionless Helmholtz Energy Equation with respect to Temperature, for given Temp [K] and D [kg/m3].

Usage

phi0T(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The First Temp Derivative of Ideal-gas part of the Helmholtz Energy: phi0T and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phi0_T <- phi0T(Temp,D)
phi0_T

Second Derivative of the Ideal-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temperature, Function of Temperature and Density

Description

The function phi0TT(Temp,D,digits =9) returns the Second Derivative of the Ideal-gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temperature, for given Temp [K] and D [kg/m3].

Usage

phi0TT(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second Temp Derivative of Ideal-gas part of the Helmholtz Energy: phi0TT and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phi0_TT <- phi0TT(Temp,D)
phi0_TT

Residual-Gas Part of the Dimensionless Helmholtz Energy Equation, Function of Temperature and Density

Description

The function phir(Temp,D,digits=9) returns the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation for given Temp [K] and D [kg/m3].

Usage

phir(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Residual-Gas Part of the Dimensionless Helmholtz Energy Equation: phir and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_TD <- phir(Temp,D)
phir_TD

First Derivative of the Residual-Gas part of the Dimensionless Helmholtz Energy Equation with respect to Density, Function of Temperature and Density

Description

The function phirD(Temp,D,digits=9) returns the First Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation for given Temp [K] and D [kg/m3].

Usage

phirD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The First Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation: phirD, and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_D <- phirD(T,D)
phir_D

Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Density, Function of Temperature and Density

Description

The function phirDD(Temp,D,digits=9) returns the Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation for given Temp [K] and D [kg/m3].

Usage

phirDD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation: phirDD, and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_DD <- phirDD(Temp,D)
phir_DD

Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Density and Temperature, Function of Temperature and Density

Description

The function phirDT(Temp,D,digits=9) returns the Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to D and Temp, for given Temp [K] and D [kg/m3].

Usage

phirDT(Temp, D, digits)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to D and Temp: phirTT, and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_DT <- phirDT(Temp,D)
phir_DT

First Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temperature, Function of Temperature and Density

Description

The function phirT(Temp,D,digits=9) returns the First Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temp, for given Temp [K] and D [kg/m3].

Usage

phirT(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The First Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temp: phirT, and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_T <- phirT(Temp,D)
phir_T

Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temperature, Function of Temperature and Density

Description

The function phirTT(Temp,D,digits=9) returns the Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to Temp, for given Temp [K] and D [kg/m3].

Usage

phirTT(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Second Derivative of the Residual-Gas Part of the Dimensionless Helmholtz Energy Equation with respect to T: phirTT, and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
phir_TT <- phirTT(Temp,D)
phir_TT

Water Critical Entropy

Description

The function sCrit() returns the entropy at the critical point [kJ k-1 K-1 ].

Usage

sCrit()

Value

The Water Critical Entropy: sc [ kJ kg-1 K-1 ]

Examples

sC <- sCrit()
sC

Specific Entropy, Function of Temperature and Density

Description

The function sTD(Temp,D,digits=9) returns the Specific Entropy, h [ kJ kg-1 k-1 ], for given Temp [K] and D [kg/m3].

Usage

sTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Entropy: s [ kJ kg-1 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
s <- sTD(Temp,D)
s

Specific Entropy, Function of Temperature and Pressure

Description

The function sTp(Temp,p,digits=9) returns the Specific Entropy, h [ kJ kg-1 K-1 ], for given Temp [K] and D [kg/m3].

Usage

sTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Entropy: s [ kJ kg-1 K-1] and an Error message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
s <- sTp(Temp,p)
s

Table of Entropies, Function of Temperature for a Fixed Pressure

Description

The function sTpcteTab(T1, T2, dT, p) returns a table of entropies [kJ kg-1 K-1] for a fixed p [MPa] within a range of T [K]: T1:T2 [K]

Usage

sTpcteTab(T1, T2, dT, p)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Entropies for fixed p and a T Interval: T1:T2.

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
p <- 5.
Tabs <- sTpcteTab(T1, T2, dT, p)
Tabs

T1 <- 300.
T2 <- 500.
dT <- 10.
p <- 10.
Tabs <- sTpcteTab(T1, T2, dT, p)
Tabs

Table of Saturation Densities, Enthalpies and Entropies, Function of Temperature

Description

The function satTabT(T1, T2, dT) returns a table of threee saturation properties for two phases: Density [kg/m3], Enthalpy [kJ kg-1] and Entropy [kJ kg K-1] for a Temperature interval, T1:T2 [K].

Usage

satTabT(T1, T2, dT)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation D, h and s, function of T

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
TabT <- satTabT(T1, T2, dT)
TabT

T1 <- 300.
T2 <- 500.
dT <- 10.
TabT <- satTabT(T1, T2, dT)
TabT

Table of Saturation Temperatures, Function of Pressure

Description

The function satTabTp(p1, p2, dp) returns a table of Saturation Temperatures [K] for a Pressure interval, p1:p2 [MPa].

Usage

satTabTp(p1, p2, dp)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A Table of Saturation Temperatures, function of p

Examples

p1 <- 1.0
p2 <- 10.
dp <- 0.5
Tabp <- satTabTp(p1, p2, dp)
Tabp

p1 <- 0.1
p2 <- 10.
dp <- 0.5
Tabp <- satTabTp(p1, p2, dp)
Tabp

Table of Saturation Liquid Phase Enthalpies, Function of Temperature

Description

The function satTabhT(T1, T2, dT) returns a table of saturation liquid enthalpies [kJ kg-1 K-1] for a Temperature interval, T1:T2 [K].

Usage

satTabhT(T1, T2, dT)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation fluid enthalpies, function of T

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
TabT <- satTabhT(T1, T2, dT)
TabT

T1 <- 300.
T2 <- 500.
dT <- 10.
TabT <- satTabhT(T1, T2, dT)
TabT

Table of Saturation Densities, Enthalpies and Entropies, Function of Pressure

Description

The function satTabp(p1, p2, dp) returns a table of threee saturation properties for two phases: Density [kg/m3], Enthalpy [kJ kg-1] and Entropy [kJ kg K-1] for a Pressure interval, p1:p2 [MPa].

Usage

satTabp(p1, p2, dp)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation D, h and s, function of p

Examples

p1 <- 1.0
p2 <- 10.
dp <- 0.5
Tabp <- satTabp(p1, p2, dp)
Tabp

p1 <- 0.1
p2 <- 10.
dp <- 0.5
Tabp <- satTabp(p1, p2, dp)
Tabp

Table of Saturation Pressures, Function of Temperature

Description

The function satTabpT(T1, T2, dT) returns a table of saturation pressures [MPa] for a Temperature interval, T1:T2 [K].

Usage

satTabpT(T1, T2, dT)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation pressures, function of T

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
TabT <- satTabpT(T1, T2, dT)
TabT

T1 <- 300.
T2 <- 500.
dT <- 10.
TabT <- satTabpT(T1, T2, dT)
TabT

Table of Saturation Volumes, Enthalpies and Entropies, Function of of Temperature

Description

The function satTabvT(T1, T2, dT) returns a table of threee saturation properties for two phases: Specific Volume [ m3 kg-1 ], Enthalpy [kJ kg-1] and Entropy [kJ kg K-1] for a Temperature interval, T1:T2 [K].

Usage

satTabvT(T1, T2, dT)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation v, h and s, function of T

Examples

T1 <- 275.
T2 <- 450.
dT <- 5.
TabT <- satTabvT(T1, T2, dT)
TabT

T1 <- 300.
T2 <- 500.
dT <- 10.
TabT <- satTabvT(T1, T2, dT)
TabT

Table of Saturation Volumes, Enthalpies and Entropies, Function of Pressure

Description

The function satTabvp(p1, p2, dp) returns a table of threee saturation properties for two phases: Specific Volume [ m3 kg-1 ], Enthalpy [kJ kg-1] and Entropy [kJ kg K-1] for a Pressure interval, p1:p2 [MPa].

Usage

satTabvp(p1, p2, dp)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of saturation v, h and s, function of p

Examples

p1 <- 1.0
p2 <- 10.
dp <- 0.5
Tabp <- satTabvp(p1, p2, dp)
Tabp

p1 <- 0.1
p2 <- 10.
dp <- 0.5
Tabp <- satTabvp(p1, p2, dp)
Tabp

Saturated Liquid Entropy, Function of Temperature

Description

The function sfT(Temp,digits=9) returns the saturated liquid entropy [kJ kg-1 K-1], sf, for given Temp [K].

Usage

sfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated liquid entropy: sf [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
sf <- sfT(Temp)
sf

Liquid Water Entropy at Triple Point

Description

The function sfTr() returns the Water Liquid Entropy at Triple Point.

Usage

sfTr()

Value

Triple Point Liquid Entropy: sfTr [ kJ kg-1 K-1]

Examples

sfTrip <- sfTr()
sfTrip

Saturated Gas Entropy, Function of Temperature

Description

The function sgT(Temp,digits=9) returns the saturated gas entropy [kJ kg-1 K-1], sg, for given Temp [K].

Usage

sgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated gas entropy: sg [kJ kg-1 K-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
sg <- sgT(Temp)
sg

Water Gas Entropy at Triple Point

Description

The function sgTr() returns the Water Gas Entropy at Triple Point.

Usage

sgTr()

Value

Triple Point Gas Entropy: sgTr [ kJ kg-1 K-1]

Examples

sgTrip <- sgTr()
sgTrip

Table of Entropies, Function of Pressure for Fixed Temperature

Description

The function spTcteTab(p1, p2, dp, Temp) returns a table of Entropies [kJ kg-1 K-1] for a fixed Temp [K] within a range of p [MPa]: p1:p2 [MPa]

Usage

spTcteTab(p1, p2, dp, Temp)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

A table of Entropies for fixed Temp and a p Interval: p1:p2.

Examples

p1 <- 1.0
p2 <- 10.
dp <- 1.
Temp <- 500.
Tabs <- spTcteTab(p1, p2, dp, Temp)
Tabs

p1 <- 10.
p2 <- 100.
dp <- 10.
Temp <- 450.
Tabs <- spTcteTab(p1, p2, dp, Temp)
Tabs

Entropy, Function of Pressure and Enthalpy

Description

The function sph(p,h,digits=9) returns the water entropy, s [ kJ kg-1 K-1 ], for given p [MPa] and h [ kJ k-1 ].

Usage

sph(p, h, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Entropy: s [ kJ kg-1 K-1 ] and an Error Message (if an error occur: errorCodes)

Examples

p <- 10.0003858
h <- 977.181624
s_ph <- sph(p,h)
s_ph

Specific Internal Energy, Function of Temperature and Density

Description

The function uTD(Temp,D,digits=9) returns the Specific Internal Energy, h [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

uTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Internal Energy: u [ kJ kg-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 838.025
u <- uTD(Temp,D)
u

Specific Internal Energy, Function of Temperature and Pressure

Description

The function uTp(Temp,p,digits=9) returns the Specific Internal Energy, h [ kJ kg-1 ], for given Temp [K] and D [kg/m3].

Usage

uTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specific Internal Energy: u [ kJ kg-1 ] and an Error message (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
u <- uTp(Temp,p)
u

Saturated Liquid Specific Internal Energy, Function of Temperature

Description

The function ufT(Temp,digits=0). returns the saturated liquid internal energy [kJ kg-1], uf, for given Temp [K].

Usage

ufT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated liquid internal energy: uf [kJ kg-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
uf <- ufT(Temp)
uf

Saturated Gas Specific Internal Energy, Function of Temperature

Description

The function ugT(Temp,digits=9) returns the saturated gas internal energy [kJ kg-1], ug, for given Temp [K].

Usage

ugT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The saturated gas internal energy: ug [kJ kg-1] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
ug <- ugT(Temp)
ug

Specific Volume, Function of Temperature and Pressure

Description

The function vTp(Temp,p,digits=9) returns the Specific Volume, [ m3 kg-1 ], for given Temp [K] and D [kg/m3].

Usage

vTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Specifiv Volume: v [ m3 kg-1 ] and an (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
v <- vTp(Temp,p)
v

Speed of Sound, Function of Temperature and Density

Description

The function wTD(Temp,D,digits=9) returns the Speed of Sound in water, w [ m s-1 ], for given Temp [K] and D [kg/m3].

Usage

wTD(Temp, D, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Speed of Sound: w [ m s-1 ]

Error message (if an error occur)

The Speed of Sound: w [ m s-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 500.
D <- 0.435
w <- wTD(Temp,D)
w

Speed of Sound, Function of Temperature and Pressure

Description

The function wTp(Temp,p,digits=9) returns the Speed of Sound, [ m s-1 ], for given Temp [K] and D [kg/m3].

Usage

wTp(Temp, p, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Speed of Sound: w [ m s-1 ] and an (if an error occur: errorCodes)

Examples

Temp <- 500.
p <- 10.0003858
w <- wTp(Temp,p)
w

Speed of Sound of Fluid Phase, Function of Temperature

Description

The function wfT(Temp,digits=9) returns the Speed of Sound of Fluid Phase [m s-1], wf, for given Temp [K].

Usage

wfT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Speed of Sound of Fluid Phase: wf [ m s-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
wf <- wfT(Temp)
wf

Speed of Sound of Gas Phase, Function of Temperature

Description

The function wgT(Temp,digits=9) returns the Speed of Sound of Gas Phase [m s-1], wg, for given Temp [K].

Usage

wgT(Temp, digits = 9)

Arguments

Details

This function calls a Fortran DLL that solves the Helmholtz Energy Equation. in accordance with the Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use (June 2014) developed by the International Association for the Properties of Water and Steam, https://iapws.org/relguide/IAPWS-95.html. It is valid from the triple point to the pressure of 1000 MPa and temperature of 1273.

Value

The Speed of Sound of Gas Phase: wg [ m s-1 ] and an Error Message (if an error occur: errorCodes)

Examples

Temp <- 450.
wg <- wgT(Temp)
wg