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 31 of file DimensionLessGibbsFreeEnergyRegion1.h.

#include <DimensionLessGibbsFreeEnergyRegion1.h>

Public Member Functions
template<typename S, typename T>
promote< S, T >	get_gamma (const S tau, const T pi)
template<typename S, typename T>
promote< S, T >	get_dgamma_dtau (const S tau, const T pi)
template<typename S, typename T>
promote< S, T >	get_dgamma_dtau_dtau (const S tau, const T pi)
template<typename S, typename T>
promote< S, T >	get_dgamma_dpi (const S tau, const T pi)
template<typename S, typename T>
promote< S, T >	get_dgamma_dpi_dpi (const S tau, const T pi)
template<typename S, typename T>
promote< S, T >	get_dgamma_dtau_dpi (const S tau, const T pi)

Static Public Member Functions
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_gamma (const S tau, const T pi)
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_dgamma_dtau (const S tau, const T pi)
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_dgamma_dtau_dtau (const S tau, const T pi)
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_dgamma_dpi (const S tau, const T pi)
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_dgamma_dpi_dpi (const S tau, const T pi)
template<typename S, typename T>
static boost::math::differentiation::promote< S, T >	get_dgamma_dtau_dpi (const S tau, const T pi)

Member Function Documentation

get_dgamma_dpi() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi	(	const S	tau,
		const T	pi )

Definition at line 78 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val = val - ni[i] * li[i] * pow(7.1 - pi, li[i] - 1.0) *
                        pow(tau - 1.222, ji[i]);
    }
 
    return val;
}

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

get_dgamma_dpi() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi ( const S tau, const T pi )

static

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

Parameters

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

get_dgamma_dpi_dpi() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi_dpi	(	const S	tau,
		const T	pi )

Definition at line 92 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val += ni[i] * li[i] * (li[i] - 1.0) * pow(7.1 - pi, li[i] - 2.0) *
               pow(tau - 1.222, ji[i]);
    }
 
    return val;
}

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

get_dgamma_dpi_dpi() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dpi_dpi ( const S tau, const T pi )

static

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

Parameters

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

get_dgamma_dtau() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau	(	const S	tau,
		const T	pi )

Definition at line 50 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val += ni[i] * ji[i] * pow(7.1 - pi, li[i]) *
               pow(tau - 1.222, ji[i] - 1.0);
    }
 
    return val;
}

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

get_dgamma_dtau() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau ( const S tau, const T pi )

static

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

Parameters

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

get_dgamma_dtau_dpi() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dpi	(	const S	tau,
		const T	pi )

Definition at line 106 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val = val - ni[i] * ji[i] * li[i] * pow(7.1 - pi, li[i] - 1.0) *
                        pow(tau - 1.222, ji[i] - 1.0);
    }
 
    return val;
}

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

get_dgamma_dtau_dpi() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dpi ( const S tau, const T 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

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

get_dgamma_dtau_dtau() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dtau	(	const S	tau,
		const T	pi )

Definition at line 64 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val += ni[i] * ji[i] * (ji[i] - 1.0) * pow(7.1 - pi, li[i]) *
               pow(tau - 1.222, ji[i] - 2.0);
    }
 
    return val;
}

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

get_dgamma_dtau_dtau() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_dgamma_dtau_dtau ( const S tau, const T pi )

static

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

Parameters

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

get_gamma() [1/2]

template<typename S, typename T>

promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_gamma	(	const S	tau,
		const T	pi )

Definition at line 37 of file DimensionLessGibbsFreeEnergyRegion1.cpp.

{
    promote<S, T> val = 0.;
    for (int i = 0; i < 34; i++)
    {
        val += ni[i] * pow(7.1 - pi, li[i]) * pow(tau - 1.222, ji[i]);
    }
 
    return val;
}

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

get_gamma() [2/2]

template<typename S, typename T>

boost::math::differentiation::promote< S, T > MaterialLib::Fluid::DimensionLessGibbsFreeEnergyRegion1::get_gamma ( const S tau, const T pi )

static

Get the value

Parameters

pi	Dimension less temperature
tau	Dimension less pressure

Returns

The value

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

• DimensionLessGibbsFreeEnergyRegion1.h
• DimensionLessGibbsFreeEnergyRegion1.cpp