Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic

Base functions as described in IAWPS/IF97

Information

Package description

Package BaseIF97/Basic computes the the fundamental functions for the 5 regions of the steam tables as described in the standards document IF97.pdf. The code of these functions has been generated using Mathematica and the add-on packages "Format" and "Optimize" to generate highly efficient, expression-optimized C-code from a symbolic representation of the thermodynamic functions. The C-code has than been transformed into Modelica code. An important feature of this optimization was to simultaneously optimize the functions and the directional derivatives because they share many common subexpressions.

Package contents

Version Info and Revision history

Author: Hubertus Tummescheit,
Modelon AB
Ideon Science Park
SE-22370 Lund, Sweden
email: hubertus@modelon.se

Equation from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

NameDescription
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1 g1 Gibbs function for region 1: g(p,T)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2 g2 Gibbs function for region 2: g(p,T)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2metastable g2metastable Gibbs function for metastable part of region 2: g(p,T)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3 f3 Helmholtz function for region 3: f(d,T)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5 g5 Base function for region 5: g(p,T)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.gibbs gibbs Gibbs function for region 1, 2 or 5: g(p,T,region)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1pitau g1pitau Derivative of g w.r.t. pi and tau
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2pitau g2pitau Derivative of g w.r.t. pi and tau
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5pitau g5pitau Derivative of g w.r.t. pi and tau
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3deltatau f3deltatau 1st derivatives of f w.r.t. delta and tau
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph1 tph1 Inverse function for region 1: T(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps1 tps1 Inverse function for region 1: T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph2 tph2 Reverse function for region 2: T(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2a tps2a Reverse function for region 2a: T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2b tps2b Reverse function for region 2b: T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2c tps2c Reverse function for region 2c: T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2 tps2 Reverse function for region 2: T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat tsat Region 4 saturation temperature as a function of pressure
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dtsatofp dtsatofp Derivative of saturation temperature w.r.t. pressure
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat_der tsat_der Derivative function for tsat
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat psat Region 4 saturation pressure as a function of temperature
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dptofT dptofT Derivative of pressure w.r.t. temperature along the saturation pressure curve
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat_der psat_der Derivative function for psat
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p1_hs p1_hs Pressure as a function of enthalpy and entropy in region 1
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h2ab_s h2ab_s Boundary between regions 2a and 2b
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2a_hs p2a_hs Pressure as a function of enthalpy and entropy in subregion 2a
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2b_hs p2b_hs Pressure as a function of enthalpy and entropy in subregion 2a
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2c_hs p2c_hs Pressure as a function of enthalpy and entropy in subregion 2c
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h3ab_p h3ab_p Region 3 a b boundary for pressure/enthalpy
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ph T3a_ph Region 3 a: inverse function T(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ph T3b_ph Region 3 b: inverse function T(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ph v3a_ph Region 3 a: inverse function v(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ph v3b_ph Region 3 b: inverse function v(p,h)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ps T3a_ps Region 3 a: inverse function T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ps T3b_ps Region 3 b: inverse function T(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ps v3a_ps Region 3 a: inverse function v(p,s)
Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ps v3b_ps Region 3 b: inverse function v(p,s)

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1

Gibbs function for region 1: g(p,T)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
gDimensionless Gibbs function and derivatives w.r.t. pi and tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2

Gibbs function for region 2: g(p,T)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
gDimensionless Gibbs function and derivatives w.r.t. pi and tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2metastable Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2metastable

Gibbs function for metastable part of region 2: g(p,T)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
gDimensionless Gibbs function and derivatives w.r.t. pi and tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3

Helmholtz function for region 3: f(d,T)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
dDensity [kg/m3]
TTemperature (K) [K]

Outputs

NameDescription
fDimensionless Helmholtz function and derivatives w.r.t. delta and tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5

Base function for region 5: g(p,T)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
gDimensionless Gibbs function and derivatives w.r.t. pi and tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.gibbs Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.gibbs

Gibbs function for region 1, 2 or 5: g(p,T,region)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]
regionIF97 region, 1, 2 or 5

Outputs

NameDescription
gDimensionless Gibbs function

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1pitau Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g1pitau

Derivative of g w.r.t. pi and tau

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
piDimensionless pressure
tauDimensionless temperature
gpiDimensionless derivative of Gibbs function w.r.t. pi
gtauDimensionless derivative of Gibbs function w.r.t. tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2pitau Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2pitau

Derivative of g w.r.t. pi and tau

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
piDimensionless pressure
tauDimensionless temperature
gpiDimensionless derivative of Gibbs function w.r.t. pi
gtauDimensionless derivative of Gibbs function w.r.t. tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5pitau Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g5pitau

Derivative of g w.r.t. pi and tau

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
TTemperature (K) [K]

Outputs

NameDescription
piDimensionless pressure
tauDimensionless temperature
gpiDimensionless derivative of Gibbs function w.r.t. pi
gtauDimensionless derivative of Gibbs function w.r.t. tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3deltatau Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.f3deltatau

1st derivatives of f w.r.t. delta and tau

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
dDensity [kg/m3]
TTemperature (K) [K]

Outputs

NameDescription
deltaDimensionless density
tauDimensionless temperature
fdeltaDimensionless derivative of Helmholtz function w.r.t. delta
ftauDimensionless derivative of Helmholtz function w.r.t. tau

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph1 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph1

Inverse function for region 1: T(p,h)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps1 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps1

Inverse function for region 1: T(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph2 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tph2

Reverse function for region 2: T(p,h)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2a Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2a

Reverse function for region 2a: T(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2b Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2b

Reverse function for region 2b: T(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2c Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2c

Reverse function for region 2c: T(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2 Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tps2

Reverse function for region 2: T(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature (K) [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat

Region 4 saturation temperature as a function of pressure

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]

Outputs

NameDescription
t_satTemperature [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dtsatofp Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dtsatofp

Derivative of saturation temperature w.r.t. pressure

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]

Outputs

NameDescription
dtsatDerivative of T w.r.t. p [K/Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat_der Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.tsat_der

Derivative function for tsat

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
der_pPressure derivative [Pa/s]

Outputs

NameDescription
der_tsatTemperature derivative [K/s]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat

Region 4 saturation pressure as a function of temperature

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
TTemperature (K) [K]

Outputs

NameDescription
p_satPressure [Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dptofT Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.dptofT

Derivative of pressure w.r.t. temperature along the saturation pressure curve

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
TTemperature (K) [K]

Outputs

NameDescription
dptTemperature derivative of pressure [Pa/K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat_der Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat_der

Derivative function for psat

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
TTemperature (K) [K]
der_TTemperature derivative [K/s]

Outputs

NameDescription
der_psatPressure [Pa/s]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p1_hs Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p1_hs

Pressure as a function of enthalpy and entropy in region 1

Information


Equation number 1 from:
The International Association for the Properties of Water and Steam
Gaithersburg, Maryland, USA
September 2001
Supplementary Release on  Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) to the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
hSpecific enthalpy [J/kg]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
pPressure [Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h2ab_s Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h2ab_s

Boundary between regions 2a and 2b

Information


  

Equation number 2 from:
The International Association for the Properties of Water and Steam
Gaithersburg, Maryland, USA
September 2001
Supplementary Release on  Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) to the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
sEntropy [J/(kg.K)]

Outputs

NameDescription
hEnthalpy [J/kg]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2a_hs Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2a_hs

Pressure as a function of enthalpy and entropy in subregion 2a

Information


  

Equation number 3 from:
The International Association for the Properties of Water and Steam
Gaithersburg, Maryland, USA
September 2001
Supplementary Release on  Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) to the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
hSpecific enthalpy [J/kg]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
pPressure [Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2b_hs Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2b_hs

Pressure as a function of enthalpy and entropy in subregion 2a

Information


Equation number 4 from:
The International Association for the Properties of Water and Steam
Gaithersburg, Maryland, USA
September 2001
Supplementary Release on  Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) to the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
hSpecific enthalpy [J/kg]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
pPressure [Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2c_hs Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.p2c_hs

Pressure as a function of enthalpy and entropy in subregion 2c

Information


      

Equation number 5 from:
The International Association for the Properties of Water and Steam
Gaithersburg, Maryland, USA
September 2001
Supplementary Release on  Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) to the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
hSpecific enthalpy [J/kg]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
pPressure [Pa]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h3ab_p Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.h3ab_p

Region 3 a b boundary for pressure/enthalpy

Information


      

 Equation number 1 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]

Outputs

NameDescription
hEnthalpy [J/kg]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ph Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ph

Region 3 a: inverse function T(p,h)

Information


 Equation number 2 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
TTemperature [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ph Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ph

Region 3 b: inverse function T(p,h)

Information


 

 Equation number 3 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
TTemperature [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ph Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ph

Region 3 a: inverse function v(p,h)

Information


 Equation number 4 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
vSpecific volume [m3/kg]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ph Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ph

Region 3 b: inverse function v(p,h)

Information


 Equation number 5 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
hSpecific enthalpy [J/kg]

Outputs

NameDescription
vSpecific volume [m3/kg]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ps Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3a_ps

Region 3 a: inverse function T(p,s)

Information


 Equation number 6 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ps Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.T3b_ps

Region 3 b: inverse function T(p,s)

Information


 Equation number 7 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
TTemperature [K]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ps Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3a_ps

Region 3 a: inverse function v(p,s)

Information


 Equation number 8 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
vSpecific volume [m3/kg]

Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ps Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.v3b_ps

Region 3 b: inverse function v(p,s)

Information


 Equation number 9 from:

 [1] The international Association for the Properties of Water and Steam
 Vejle, Denmark
 August 2003
 Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s),
 v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of
 Water and Steam

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

NameDescription
pPressure [Pa]
sSpecific entropy [J/(kg.K)]

Outputs

NameDescription
vSpecific volume [m3/kg]

Automatically generated Mon Sep 23 17:21:07 2013.