Modelica.Media.Water.IF97_Utilities.BaseIF97.IceBoundaries

Information

The International Association for the Properties of Water and Steam
Milan, Italy
September 1993
Release on the Pressure along the Melting and the Sublimation Curves of Ordinary Water Substance

Package Content

Name	Description
pmIceI_T	Melting pressure of ice I (temperature range from 273.16 to 251.165 K)
pmIceIII_T	Melting pressure of ice III (temperature range from 251.165 to 256.164 K)
pmIceV_T	Melting pressure of ice V (temperature range from 256.164 to 273.31 K)
sublimationPressure_T	Sublimation pressure, valid from 190 to 273.16 K

Modelica.Media.Water.IF97_Utilities.BaseIF97.IceBoundaries.pmIceI_T

Information

Equation 1 from:
The International Association for the Properties of Water and Steam
Milan, Italy
September 1993
Release on the Pressure along the Melting and the Sublimation Curves of Ordinary Water Substance

Extends from Modelica.Icons.Function (Icon for a function).

Inputs

Type	Name	Default	Description
Temp_K	T		Temperature [K]

Outputs

Type	Name	Description
Pressure	pm	Melting pressure of iceI(for T from 273.16 to 251.165 K) [Pa]

Modelica definition

function pmIceI_T 
  "Melting pressure of ice I (temperature range from 273.16 to 251.165 K)"
  extends Modelica.Icons.Function;
  input SI.Temp_K T "Temperature";
  output SI.Pressure pm 
    "Melting pressure of iceI(for T from 273.16 to 251.165 K)";
protected 
  constant SI.Temp_K Tn = 273.16 "normalization temperature";
  constant SI.Pressure pn = 611.657 "normalization pressure";
  Real sigma = T/Tn "normalized temperature";
algorithm 
  pm := (1-0.626000e6*(1-sigma^(-3)) + 0.197135e6*(1-sigma^(21.2)))*pn;
end pmIceI_T;

Modelica.Media.Water.IF97_Utilities.BaseIF97.IceBoundaries.pmIceIII_T

Information

Equation 2 from:
The International Association for the Properties of Water and Steam
Milan, Italy
September 1993
Release on the Pressure along the Melting and the Sublimation Curves of Ordinary Water Substance

Extends from Modelica.Icons.Function (Icon for a function).

Inputs

Type	Name	Default	Description
Temp_K	T		Temperature [K]

Outputs

Type	Name	Description
Pressure	pm	Melting pressure of iceIII(for T from 251.165 to 256.164 K) [Pa]

Modelica definition

function pmIceIII_T 
  "Melting pressure of ice III (temperature range from 251.165 to 256.164 K)"
  extends Modelica.Icons.Function;
  input SI.Temp_K T "Temperature";
  output SI.Pressure pm 
    "Melting pressure of iceIII(for T from 251.165 to 256.164 K)";
protected 
  constant SI.Temp_K Tn = 251.165 "normalization temperature";
  constant SI.Pressure pn = 209.9e6 "normalization pressure";
  Real sigma = T/Tn "normalized temperature";
algorithm 
  pm := (1-0.295252*(1-sigma^60))*pn;
end pmIceIII_T;

Modelica.Media.Water.IF97_Utilities.BaseIF97.IceBoundaries.pmIceV_T

Information

Equation 3 from:
The International Association for the Properties of Water and Steam
Milan, Italy
September 1993
Release on the Pressure along the Melting and the Sublimation Curves of Ordinary Water Substance

Extends from Modelica.Icons.Function (Icon for a function).

Inputs

Type	Name	Default	Description
Temp_K	T		Temperature [K]

Outputs

Type	Name	Description
Pressure	pm	Melting pressure of iceV(for T from 256.164 to 273.31 K) [Pa]

Modelica definition

function pmIceV_T 
  "Melting pressure of ice V (temperature range from 256.164 to 273.31 K)"
  extends Modelica.Icons.Function;
  input SI.Temp_K T "Temperature";
  output SI.Pressure pm 
    "Melting pressure of iceV(for T from 256.164 to 273.31 K)";
protected 
  constant SI.Temp_K Tn = 256.164 "normalization temperature";
  constant SI.Pressure pn = 350.1e6 "normalization pressure";
  Real sigma = T/Tn "normalized temperature";

algorithm 
  pm := (1-1.18721*(1-sigma^8))*pn;
end pmIceV_T;

Modelica.Media.Water.IF97_Utilities.BaseIF97.IceBoundaries.sublimationPressure_T

Information

Equation 6 from:
The International Association for the Properties of Water and Steam
Milan, Italy
September 1993
Release on the Pressure along the Melting and the Sublimation Curves of Ordinary Water Substance

Extends from Modelica.Icons.Function (Icon for a function).

Inputs

Type	Name	Default	Description
Temp_K	T		Temperature [K]

Outputs

Type	Name	Description
Pressure	psubl	sublimation pressure (for T from 190 to 273.16) [Pa]

Modelica definition

function sublimationPressure_T 
  "Sublimation pressure, valid from 190 to 273.16 K"
  extends Modelica.Icons.Function;
  input SI.Temp_K T "Temperature";
  output SI.Pressure psubl "sublimation pressure (for T from 190 to 273.16)";
protected 
  constant SI.Temp_K Tn = 273.16 "normalization temperature";
  constant SI.Pressure pn = 611.657 "normalization pressure";
  constant Real[2] a = {-13.9281690,34.7078238} "constant values";
  Real sigma = T/Tn "normalized temperature";
algorithm 
  psubl := Modelica.Math.exp(a[1]*(1-sigma^(-1.5)) + a[2]*(1-sigma^(-1.25)))*pn;
end sublimationPressure_T;