OGS
List of all members | Static Public Member Functions
MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1 Struct Reference

Detailed Description

A class for dimensionless Gibbs free energy defined by

\[ \gamma=\sum_{i=1}^{34}\left[ n_i * (7.1-\pi)^{l_i}(\tau - 1.222)^{j_i} \right] \]

IF97-Rev

Coefficients \(n_i\), \(j_i\) and \(l_i\) are given in three static arrays in the cpp file.

Definition at line 33 of file DimensionLessGibbsFreeEnergyRegion1.h.

#include <DimensionLessGibbsFreeEnergyRegion1.h>

Static Public Member Functions

static double get_gamma (const double tau, const double pi)
 
static double get_dgamma_dtau (const double tau, const double pi)
 
static double get_dgamma_dtau_dtau (const double tau, const double pi)
 
static double get_dgamma_dpi (const double tau, const double pi)
 
static double get_dgamma_dpi_dpi (const double tau, const double pi)
 
static double get_dgamma_dtau_dpi (const double tau, const double pi)
 

Member Function Documentation

◆ get_dgamma_dpi()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi ( const double  tau,
const double  pi 
)
static

Get the 1st order partial derivative of the dimension less Gibbs free energy with respect to dimension less pressure, pi

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 83 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

85 {
86  double val = 0.;
87  for (int i = 0; i < 34; i++)
88  {
89  val -= ni[i] * li[i] * std::pow(7.1 - pi, li[i] - 1.0) *
90  std::pow(tau - 1.222, ji[i]);
91  }
92 
93  return val;
94 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

Referenced by MaterialLib::Fluid::WaterDensityIAPWSIF97Region1::getdValue(), and MaterialLib::Fluid::WaterDensityIAPWSIF97Region1::getValue().

◆ get_dgamma_dpi_dpi()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi_dpi ( const double  tau,
const double  pi 
)
static

Get the 2nd order partial derivative of the dimension less Gibbs free energy with respect to dimension less pressure, pi

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 96 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

98 {
99  double val = 0.;
100  for (int i = 0; i < 34; i++)
101  {
102  val += ni[i] * li[i] * (li[i] - 1.0) * std::pow(7.1 - pi, li[i] - 2.0) *
103  std::pow(tau - 1.222, ji[i]);
104  }
105 
106  return val;
107 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

Referenced by MaterialLib::Fluid::WaterDensityIAPWSIF97Region1::getdValue().

◆ get_dgamma_dtau()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau ( const double  tau,
const double  pi 
)
static

Get the 1st order partial derivative of the dimension less Gibbs free energy with respect to dimension less temperature, tau

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 57 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

59 {
60  double val = 0.;
61  for (int i = 0; i < 34; i++)
62  {
63  val += ni[i] * ji[i] * std::pow(7.1 - pi, li[i]) *
64  std::pow(tau - 1.222, ji[i] - 1.0);
65  }
66 
67  return val;
68 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

◆ get_dgamma_dtau_dpi()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dpi ( const double  tau,
const double  pi 
)
static

Get the 2nd order partial derivative of the dimension less Gibbs free energy with respect to dimension less temperature, tau, and dimension less pressure, pi

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 109 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

111 {
112  double val = 0.;
113  for (int i = 0; i < 34; i++)
114  {
115  val -= ni[i] * ji[i] * li[i] * std::pow(7.1 - pi, li[i] - 1.0) *
116  std::pow(tau - 1.222, ji[i] - 1.0);
117  }
118 
119  return val;
120 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

Referenced by MaterialLib::Fluid::WaterDensityIAPWSIF97Region1::getdValue().

◆ get_dgamma_dtau_dtau()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dtau ( const double  tau,
const double  pi 
)
static

Get the 2nd order partial derivative of the dimension less Gibbs free energy with respect to dimension less temperature, tau

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 70 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

72 {
73  double val = 0.;
74  for (int i = 0; i < 34; i++)
75  {
76  val += ni[i] * ji[i] * (ji[i] - 1.0) * std::pow(7.1 - pi, li[i]) *
77  std::pow(tau - 1.222, ji[i] - 2.0);
78  }
79 
80  return val;
81 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

◆ get_gamma()

double MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_gamma ( const double  tau,
const double  pi 
)
static

Get the value

Parameters
piDimension less temperature
tauDimension less pressure
Returns
The value

Definition at line 45 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

47 {
48  double val = 0.;
49  for (int i = 0; i < 34; i++)
50  {
51  val += ni[i] * std::pow(7.1 - pi, li[i]) * std::pow(tau - 1.222, ji[i]);
52  }
53 
54  return val;
55 }

References MaterialLib::Fluid::ji, MaterialLib::Fluid::li, and MaterialLib::Fluid::ni.

The documentation for this struct was generated from the following files: