Detailed Description

Abstract base class for reducing function An abstract base class for the reducing function to allow for Lemmon-Jacobsen, GERG, or other reducing function to yield the reducing parameters \(\rho_r\) and \(T_r\).

Definition at line 31 of file ReducingFunctions.h.

#include <ReducingFunctions.h>

Inheritance diagram for CoolProp::ReducingFunction:

Public Member Functions
	ReducingFunction ()

virtual	~ReducingFunction ()

virtual ReducingFunction *	copy ()=0

virtual void	set_binary_interaction_double (const std::size_t i, const std::size_t j, const std::string &parameter, double value)=0

virtual double	get_binary_interaction_double (const std::size_t i, const std::size_t j, const std::string &parameter) const =0

virtual CoolPropDbl	Tr (const std::vector< CoolPropDbl > &x) const =0
	The reduced temperature. More...

virtual CoolPropDbl	dTrdxi__constxj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const =0
	The derivative of reduced temperature with respect to component i mole fraction. More...

virtual CoolPropDbl	rhormolar (const std::vector< CoolPropDbl > &x) const =0
	The molar reducing density. More...

virtual CoolPropDbl	drhormolardxi__constxj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const =0
	Derivative of the molar reducing density with respect to component i mole fraction. More...

virtual CoolPropDbl	dTr_dgammaT (const std::vector< CoolPropDbl > &x) const

virtual CoolPropDbl	dTr_dbetaT (const std::vector< CoolPropDbl > &x) const

virtual CoolPropDbl	drhormolar_dgammaV (const std::vector< CoolPropDbl > &x) const

virtual CoolPropDbl	drhormolar_dbetaV (const std::vector< CoolPropDbl > &x) const

virtual CoolPropDbl	d2Tr_dxidgammaT (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2Tr_dxidbetaT (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2rhormolar_dxidgammaV (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2rhormolar_dxidbetaV (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2rhormolardxi2__constxj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d2rhormolardxidxj (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d3rhormolardxidxjdxk (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d2Trdxi2__constxj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d2Trdxidxj (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d3Trdxidxjdxk (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const =0

virtual CoolPropDbl	d_ndTrdni_dxj__constxi (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const
	GERG 2004 Monograph equation 7.56: More...

virtual CoolPropDbl	d2_ndTrdni_dxj_dxk__constxi (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d_ndrhorbardni_dxj__constxi (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const
	GERG 2004 Monograph equation 7.55: If the \(x_i\) are all independent. More...

virtual CoolPropDbl	d2_ndrhorbardni_dxj_dxk__constxi (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	ndrhorbardni__constnj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	ndTrdni__constnj (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	PSI_rho (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d_PSI_rho_dxj (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2_PSI_rho_dxj_dxk (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	PSI_T (const std::vector< CoolPropDbl > &x, std::size_t i, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d_PSI_T_dxj (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, x_N_dependency_flag xN_flag) const

virtual CoolPropDbl	d2_PSI_T_dxj_dxk (const std::vector< CoolPropDbl > &x, std::size_t i, std::size_t j, std::size_t k, x_N_dependency_flag xN_flag) const

Static Public Member Functions
static shared_ptr< ReducingFunction >	factory (const std::vector< CoolPropFluid * > &components, STLMatrix &F)
	A factory function to generate the required reducing function. More...

Protected Attributes
std::size_t	N

Constructor & Destructor Documentation

◆ ReducingFunction()

CoolProp::ReducingFunction::ReducingFunction ( )

inline

Definition at line 37 of file ReducingFunctions.h.

◆ ~ReducingFunction()

virtual CoolProp::ReducingFunction::~ReducingFunction ( )

inlinevirtual

Definition at line 38 of file ReducingFunctions.h.

Member Function Documentation

◆ copy()

virtual ReducingFunction* CoolProp::ReducingFunction::copy ( )

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d2_ndrhorbardni_dxj_dxk__constxi()

CoolPropDbl CoolProp::ReducingFunction::d2_ndrhorbardni_dxj_dxk__constxi	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Definition at line 63 of file ReducingFunctions.cpp.

◆ d2_ndTrdni_dxj_dxk__constxi()

CoolPropDbl CoolProp::ReducingFunction::d2_ndTrdni_dxj_dxk__constxi	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Definition at line 30 of file ReducingFunctions.cpp.

◆ d2_PSI_rho_dxj_dxk()

CoolPropDbl CoolProp::ReducingFunction::d2_PSI_rho_dxj_dxk	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 118 of file ReducingFunctions.cpp.

◆ d2_PSI_T_dxj_dxk()

CoolPropDbl CoolProp::ReducingFunction::d2_PSI_T_dxj_dxk	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 134 of file ReducingFunctions.cpp.

◆ d2rhormolar_dxidbetaV()

virtual CoolPropDbl CoolProp::ReducingFunction::d2rhormolar_dxidbetaV	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 78 of file ReducingFunctions.h.

◆ d2rhormolar_dxidgammaV()

virtual CoolPropDbl CoolProp::ReducingFunction::d2rhormolar_dxidgammaV	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 75 of file ReducingFunctions.h.

◆ d2rhormolardxi2__constxj()

virtual CoolPropDbl CoolProp::ReducingFunction::d2rhormolardxi2__constxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d2rhormolardxidxj()

virtual CoolPropDbl CoolProp::ReducingFunction::d2rhormolardxidxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d2Tr_dxidbetaT()

virtual CoolPropDbl CoolProp::ReducingFunction::d2Tr_dxidbetaT	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 72 of file ReducingFunctions.h.

◆ d2Tr_dxidgammaT()

virtual CoolPropDbl CoolProp::ReducingFunction::d2Tr_dxidgammaT	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 69 of file ReducingFunctions.h.

◆ d2Trdxi2__constxj()

virtual CoolPropDbl CoolProp::ReducingFunction::d2Trdxi2__constxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d2Trdxidxj()

virtual CoolPropDbl CoolProp::ReducingFunction::d2Trdxidxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d3rhormolardxidxjdxk()

virtual CoolPropDbl CoolProp::ReducingFunction::d3rhormolardxidxjdxk	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d3Trdxidxjdxk()

virtual CoolPropDbl CoolProp::ReducingFunction::d3Trdxidxjdxk	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		std::size_t	k,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ d_ndrhorbardni_dxj__constxi()

CoolPropDbl CoolProp::ReducingFunction::d_ndrhorbardni_dxj__constxi	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

virtual

GERG 2004 Monograph equation 7.55: If the \(x_i\) are all independent.

\[ \left(\frac{\partial}{\partial x_j}\left(n\left(\frac{\partial \rho_r}{\partial n_i} \right)_{n_j}\right)\right)_{x_i} = \left(\frac{\partial^2\rho_r}{\partial x_j \partial x_i}\right)-\left(\frac{\partial \rho_r}{\partial x_j}\right)_{x_i}-\sum_{k=0}^{N-1}x_k\left(\frac{\partial^2\rho_r}{\partial x_j \partial x_k}\right) \]

Gernert, JPCRD, 2014, A28 If \(x_N = 1-\sum x_i\):

\[ \left(\frac{\partial}{\partial x_j}\left(n\left(\frac{\partial \rho_r}{\partial n_i} \right)_{n_j}\right)\right)_{x_i} = \left(\frac{\partial^2\rho_r}{\partial x_j \partial x_i}\right)-\left(\frac{\partial \rho_r}{\partial x_j}\right)_{x_i}-\sum_{k=0}^{N-2}x_k\left(\frac{\partial^2\rho_r}{\partial x_j \partial x_k}\right) \]

Definition at line 55 of file ReducingFunctions.cpp.

◆ d_ndTrdni_dxj__constxi()

CoolPropDbl CoolProp::ReducingFunction::d_ndTrdni_dxj__constxi	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

virtual

GERG 2004 Monograph equation 7.56:

If the \(x_i\) are all independent

\[ \left(\frac{\partial}{\partial x_j}\left(n\left(\frac{\partial T_r}{\partial n_i} \right)_{n_j}\right)\right)_{x_i} = \left(\frac{\partial^2T_r}{\partial x_j \partial x_i}\right)-\left(\frac{\partial T_r}{\partial x_j}\right)_{x_i}-\sum_{k=0}^{N-1}x_k\left(\frac{\partial^2T_r}{\partial x_j \partial x_k}\right) \]

If \(x_N = 1-\sum x_i\):

\[ \left(\frac{\partial}{\partial x_j}\left(n\left(\frac{\partial T_r}{\partial n_i} \right)_{n_j}\right)\right)_{x_i} = \left(\frac{\partial^2T_r}{\partial x_j \partial x_i}\right)-\left(\frac{\partial T_r}{\partial x_j}\right)_{x_i}-\sum_{k=0}^{N-1}x_k\left(\frac{\partial^2T_r}{\partial x_j \partial x_k}\right) \]

Definition at line 5 of file ReducingFunctions.cpp.

◆ d_PSI_rho_dxj()

CoolPropDbl CoolProp::ReducingFunction::d_PSI_rho_dxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 115 of file ReducingFunctions.cpp.

◆ d_PSI_T_dxj()

CoolPropDbl CoolProp::ReducingFunction::d_PSI_T_dxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		std::size_t	j,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 131 of file ReducingFunctions.cpp.

◆ drhormolar_dbetaV()

virtual CoolPropDbl CoolProp::ReducingFunction::drhormolar_dbetaV ( const std::vector< CoolPropDbl > & x ) const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 66 of file ReducingFunctions.h.

◆ drhormolar_dgammaV()

virtual CoolPropDbl CoolProp::ReducingFunction::drhormolar_dgammaV ( const std::vector< CoolPropDbl > & x ) const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 63 of file ReducingFunctions.h.

◆ drhormolardxi__constxj()

virtual CoolPropDbl CoolProp::ReducingFunction::drhormolardxi__constxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

Derivative of the molar reducing density with respect to component i mole fraction.

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ dTr_dbetaT()

virtual CoolPropDbl CoolProp::ReducingFunction::dTr_dbetaT ( const std::vector< CoolPropDbl > & x ) const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 60 of file ReducingFunctions.h.

◆ dTr_dgammaT()

virtual CoolPropDbl CoolProp::ReducingFunction::dTr_dgammaT ( const std::vector< CoolPropDbl > & x ) const

inlinevirtual

Reimplemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Definition at line 57 of file ReducingFunctions.h.

◆ dTrdxi__constxj()

virtual CoolPropDbl CoolProp::ReducingFunction::dTrdxi__constxj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

pure virtual

The derivative of reduced temperature with respect to component i mole fraction.

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ factory()

static shared_ptr<ReducingFunction> CoolProp::ReducingFunction::factory	(	const std::vector< CoolPropFluid * > &	components,
		STLMatrix &	F
	)

static

A factory function to generate the required reducing function.

◆ get_binary_interaction_double()

virtual double CoolProp::ReducingFunction::get_binary_interaction_double	(	const std::size_t	i,
		const std::size_t	j,
		const std::string &	parameter
	)		const

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ ndrhorbardni__constnj()

CoolPropDbl CoolProp::ReducingFunction::ndrhorbardni__constnj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Definition at line 71 of file ReducingFunctions.cpp.

◆ ndTrdni__constnj()

CoolPropDbl CoolProp::ReducingFunction::ndTrdni__constnj	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Definition at line 91 of file ReducingFunctions.cpp.

◆ PSI_rho()

CoolPropDbl CoolProp::ReducingFunction::PSI_rho	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 112 of file ReducingFunctions.cpp.

◆ PSI_T()

CoolPropDbl CoolProp::ReducingFunction::PSI_T	(	const std::vector< CoolPropDbl > &	x,
		std::size_t	i,
		x_N_dependency_flag	xN_flag
	)		const

virtual

Reimplemented in CoolProp::ConstantReducingFunction.

Definition at line 128 of file ReducingFunctions.cpp.

◆ rhormolar()

virtual CoolPropDbl CoolProp::ReducingFunction::rhormolar ( const std::vector< CoolPropDbl > & x ) const

pure virtual

The molar reducing density.

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ set_binary_interaction_double()

virtual void CoolProp::ReducingFunction::set_binary_interaction_double	(	const std::size_t	i,
		const std::size_t	j,
		const std::string &	parameter,
		double	value
	)

pure virtual

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

◆ Tr()

virtual CoolPropDbl CoolProp::ReducingFunction::Tr ( const std::vector< CoolPropDbl > & x ) const

pure virtual

The reduced temperature.

Implemented in CoolProp::ConstantReducingFunction, and CoolProp::GERG2008ReducingFunction.

Member Data Documentation

◆ N

std::size_t CoolProp::ReducingFunction::N

protected

Definition at line 34 of file ReducingFunctions.h.

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

src/Backends/Helmholtz/ReducingFunctions.h
src/Backends/Helmholtz/ReducingFunctions.cpp

Detailed Description

Public Member Functions

Static Public Member Functions

Protected Attributes

Constructor & Destructor Documentation

◆ ReducingFunction()

◆ ~ReducingFunction()

Member Function Documentation

◆ copy()

◆ d2_ndrhorbardni_dxj_dxk__constxi()

◆ d2_ndTrdni_dxj_dxk__constxi()

◆ d2_PSI_rho_dxj_dxk()

◆ d2_PSI_T_dxj_dxk()

◆ d2rhormolar_dxidbetaV()

◆ d2rhormolar_dxidgammaV()

◆ d2rhormolardxi2__constxj()

◆ d2rhormolardxidxj()

◆ d2Tr_dxidbetaT()

◆ d2Tr_dxidgammaT()

◆ d2Trdxi2__constxj()

◆ d2Trdxidxj()

◆ d3rhormolardxidxjdxk()

◆ d3Trdxidxjdxk()

◆ d_ndrhorbardni_dxj__constxi()

◆ d_ndTrdni_dxj__constxi()

◆ d_PSI_rho_dxj()

◆ d_PSI_T_dxj()

◆ drhormolar_dbetaV()

◆ drhormolar_dgammaV()

◆ drhormolardxi__constxj()

◆ dTr_dbetaT()

◆ dTr_dgammaT()

◆ dTrdxi__constxj()

◆ factory()

◆ get_binary_interaction_double()

◆ ndrhorbardni__constnj()

◆ ndTrdni__constnj()

◆ PSI_rho()

◆ PSI_T()

◆ rhormolar()

◆ set_binary_interaction_double()

◆ Tr()

Member Data Documentation

◆ N