Low level class for the real description of water. More...

#include <WaterPropsIAPWSphi.h>

Public Member Functions
	WaterPropsIAPWSphi ()
	Base constructor. More...

doublereal	phi (doublereal tau, doublereal delta)
	Calculate the Phi function, which is the base function. More...

doublereal	phi_d (doublereal tau, doublereal delta)
	Calculate derivative of phi wrt delta. More...

doublereal	phi_dd (doublereal tau, doublereal delta)
	2nd derivative of phi wrt delta More...

doublereal	phi_t (doublereal tau, doublereal delta)
	First derivative of phi wrt tau. More...

doublereal	phi_tt (doublereal tau, doublereal delta)
	Second derivative of phi wrt tau. More...

doublereal	pressureM_rhoRT (doublereal tau, doublereal delta)
	Calculate the dimensionless pressure at tau and delta;. More...

doublereal	dimdpdrho (doublereal tau, doublereal delta)
	Dimensionless derivative of p wrt rho at constant T. More...

doublereal	dimdpdT (doublereal tau, doublereal delta)
	Dimensionless derivative of p wrt T at constant rho. More...

doublereal	dfind (doublereal p_red, doublereal tau, doublereal deltaGuess)
	This function computes the reduced density, given the reduced pressure and the reduced temperature, tau. More...

doublereal	gibbs_RT () const
	Calculate the dimensionless Gibbs free energy. More...

doublereal	enthalpy_RT () const
	Calculate the dimensionless enthalpy, h/RT. More...

doublereal	entropy_R () const
	Calculate the dimensionless entropy, s/R. More...

doublereal	intEnergy_RT () const
	Calculate the dimensionless internal energy, u/RT. More...

doublereal	cv_R () const
	Calculate the dimensionless constant volume heat capacity, Cv/R. More...

doublereal	cp_R () const
	Calculate the dimensionless constant pressure heat capacity, Cv/R. More...

void	tdpolycalc (doublereal tau, doublereal delta)
	Calculates internal polynomials in tau and delta. More...

doublereal	phiR () const

Protected Member Functions
doublereal	phi0 () const
	Calculate Equation 6.5 for phi0, the ideal gas part of the dimensionless Helmholtz free energy. More...

doublereal	phiR_d () const
	Calculate d_phiR_d(delta), the first derivative of phiR wrt delta. More...

doublereal	phi0_d () const
	Calculate d_phi0_d(delta), the first derivative of phi0 wrt delta. More...

doublereal	phiR_dd () const
	Calculate d2_phiR_dd(delta), the second derivative of phiR wrt delta. More...

doublereal	phi0_dd () const
	Calculate d2_phi0_dd(delta), the second derivative of phi0 wrt delta. More...

doublereal	phi0_t () const
	Calculate d_phi0/d(tau) More...

doublereal	phiR_t () const
	Calculate Equation 6.6 for dphiRdtau, the derivative residual part of the dimensionless Helmholtz free energy wrt temperature. More...

doublereal	phiR_tt () const
	Calculate Equation 6.6 for dphiRdtau, the second derivative residual part of the dimensionless Helmholtz free energy wrt temperature. More...

doublereal	phi0_tt () const
	Calculate d2_phi0/dtau2. More...

doublereal	phiR_dt () const
	Calculate the mixed derivative d2_phiR/(dtau ddelta) More...

doublereal	phi0_dt () const
	Calculate the mixed derivative d2_phi0/(dtau ddelta) More...

Protected Attributes
doublereal	TAUp [52]
	Value of internally calculated polynomials of powers of TAU. More...

doublereal	DELTAp [16]
	Value of internally calculated polynomials of powers of delta. More...

doublereal	TAUsave
	Last tau that was used to calculate polynomials. More...

doublereal	TAUsqrt
	sqrt of TAU More...

doublereal	DELTAsave
	Last delta that was used to calculate polynomials. More...

Detailed Description

Low level class for the real description of water.

This is a helper class for WaterSSTP and PDSS_Water and does not constitute a complete implementation of a thermo phase by itself (see Thermodynamic Properties and classes WaterSSTP and PDSS_Water).

The reference is W. Wagner, A. Pruss, "The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use," J. Phys. Chem. Ref. Dat, 31, 387, 2002.

Units Note: This class works with reduced units exclusively.

Definition at line 34 of file WaterPropsIAPWSphi.h.

Constructor & Destructor Documentation

◆ WaterPropsIAPWSphi()

WaterPropsIAPWSphi ( )

Base constructor.

Definition at line 354 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, and WaterPropsIAPWSphi::TAUp.

Member Function Documentation

◆ phi()

doublereal phi	(	doublereal	tau,
		doublereal	delta
	)

Calculate the Phi function, which is the base function.

The phi function is basically the Helmholtz free energy Eqn. (6.4) All internal polynomials are recalculated.

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 446 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0(), WaterPropsIAPWSphi::phiR(), and WaterPropsIAPWSphi::tdpolycalc().

Referenced by WaterPropsIAPWS::helmholtzFE(), WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), and WaterPropsIAPWSphi::phiR_tt().

◆ phi_d()

doublereal phi_d	(	doublereal	tau,
		doublereal	delta
	)

Calculate derivative of phi wrt delta.

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 518 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_d(), WaterPropsIAPWSphi::phiR_d(), and WaterPropsIAPWSphi::tdpolycalc().

◆ phi_dd()

doublereal phi_dd	(	doublereal	tau,
		doublereal	delta
	)

2nd derivative of phi wrt delta

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 622 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_dd(), WaterPropsIAPWSphi::phiR_dd(), and WaterPropsIAPWSphi::tdpolycalc().

◆ phi_t()

doublereal phi_t	(	doublereal	tau,
		doublereal	delta
	)

First derivative of phi wrt tau.

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 708 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_t(), WaterPropsIAPWSphi::phiR_t(), and WaterPropsIAPWSphi::tdpolycalc().

◆ phi_tt()

doublereal phi_tt	(	doublereal	tau,
		doublereal	delta
	)

Second derivative of phi wrt tau.

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 789 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_tt(), WaterPropsIAPWSphi::phiR_tt(), and WaterPropsIAPWSphi::tdpolycalc().

◆ pressureM_rhoRT()

doublereal pressureM_rhoRT	(	doublereal	tau,
		doublereal	delta
	)

Calculate the dimensionless pressure at tau and delta;.

  pM/(rhoRT) = delta * phi_d() = 1.0 + delta phiR_d()

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

note: this is done so much, we have a separate routine.

Definition at line 526 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phiR_d(), and WaterPropsIAPWSphi::tdpolycalc().

Referenced by WaterPropsIAPWS::pressure().

◆ dimdpdrho()

doublereal dimdpdrho	(	doublereal	tau,
		doublereal	delta
	)

Dimensionless derivative of p wrt rho at constant T.

dp/drho * 1/RT = (2. delta phi_d() + delta**2 phi_dd()) (1.0 + 2. delta phiR_d() + delta**2 phiR_dd())

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 630 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), and WaterPropsIAPWSphi::tdpolycalc().

Referenced by WaterPropsIAPWS::dpdrho().

◆ dimdpdT()

doublereal dimdpdT	(	doublereal	tau,
		doublereal	delta
	)

Dimensionless derivative of p wrt T at constant rho.

dp/dT * M/(Rho R) = (1.0 + delta phiR_d()

tau delta (phiR_dt())

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 638 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dt(), and WaterPropsIAPWSphi::tdpolycalc().

Referenced by WaterPropsIAPWS::coeffPresExp().

◆ dfind()

doublereal dfind	(	doublereal	p_red,
		doublereal	tau,
		doublereal	deltaGuess
	)

This function computes the reduced density, given the reduced pressure and the reduced temperature, tau.

It takes an initial guess, deltaGuess. DeltaGuess is important as this is a multivalued function below the critical point.

Parameters

p_red	Value of the dimensionless pressure
tau	Dimensionless temperature = T_c/T
deltaGuess	Initial guess for the dimensionless density

Returns: the dimensionless density.

Definition at line 870 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), and WaterPropsIAPWSphi::tdpolycalc().

◆ gibbs_RT()

doublereal gibbs_RT ( ) const

Calculate the dimensionless Gibbs free energy.

Definition at line 945 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi0(), WaterPropsIAPWSphi::phiR(), and WaterPropsIAPWSphi::phiR_d().

Referenced by WaterPropsIAPWS::Gibbs().

◆ enthalpy_RT()

doublereal enthalpy_RT ( ) const

Calculate the dimensionless enthalpy, h/RT.

Definition at line 952 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi0_t(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_t(), and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWS::enthalpy().

◆ entropy_R()

doublereal entropy_R ( ) const

Calculate the dimensionless entropy, s/R.

Definition at line 962 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0(), WaterPropsIAPWSphi::phi0_t(), WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_t(), and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWS::entropy().

◆ intEnergy_RT()

doublereal intEnergy_RT ( ) const

Calculate the dimensionless internal energy, u/RT.

Definition at line 972 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_t(), WaterPropsIAPWSphi::phiR_t(), and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWS::intEnergy().

◆ cv_R()

doublereal cv_R ( ) const

Calculate the dimensionless constant volume heat capacity, Cv/R.

Definition at line 980 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::phi0_tt(), WaterPropsIAPWSphi::phiR_tt(), and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWSphi::cp_R(), and WaterPropsIAPWS::cv().

◆ cp_R()

doublereal cp_R ( ) const

Calculate the dimensionless constant pressure heat capacity, Cv/R.

Definition at line 988 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::cv_R(), WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWS::cp().

◆ tdpolycalc()

void tdpolycalc	(	doublereal	tau,
		doublereal	delta
	)

Calculates internal polynomials in tau and delta.

This routine is used to store the internal state of tau and delta for later use by the other routines in the class.

Parameters

tau	Dimensionless temperature = T_c/T
delta	Dimensionless density = delta = rho / Rho_c

Definition at line 367 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::dfind(), WaterPropsIAPWSphi::dimdpdrho(), WaterPropsIAPWSphi::dimdpdT(), WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::phi_d(), WaterPropsIAPWSphi::phi_dd(), WaterPropsIAPWSphi::phi_t(), WaterPropsIAPWSphi::phi_tt(), WaterPropsIAPWSphi::pressureM_rhoRT(), and WaterPropsIAPWS::setState_TR().

◆ phiR()

doublereal phiR ( ) const

Calculate Equation 6.6 for phiR, the residual part of the dimensionless Helmholtz free energy.

Definition at line 400 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWSphi::gibbs_RT(), and WaterPropsIAPWSphi::phi().

◆ phi0()

doublereal phi0 ( ) const

protected

Calculate Equation 6.5 for phi0, the ideal gas part of the dimensionless Helmholtz free energy.

Definition at line 386 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAsave, and WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWSphi::gibbs_RT(), and WaterPropsIAPWSphi::phi().

◆ phiR_d()

doublereal phiR_d ( ) const

protected

Calculate d_phiR_d(delta), the first derivative of phiR wrt delta.

Definition at line 454 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::cp_R(), WaterPropsIAPWSphi::dfind(), WaterPropsIAPWSphi::dimdpdrho(), WaterPropsIAPWSphi::dimdpdT(), WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWSphi::gibbs_RT(), WaterPropsIAPWSphi::phi_d(), and WaterPropsIAPWSphi::pressureM_rhoRT().

◆ phi0_d()

doublereal phi0_d ( ) const

protected

Calculate d_phi0_d(delta), the first derivative of phi0 wrt delta.

Definition at line 512 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAsave.

Referenced by WaterPropsIAPWSphi::phi_d().

◆ phiR_dd()

doublereal phiR_dd ( ) const

protected

Calculate d2_phiR_dd(delta), the second derivative of phiR wrt delta.

Definition at line 533 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::cp_R(), WaterPropsIAPWSphi::dfind(), WaterPropsIAPWSphi::dimdpdrho(), and WaterPropsIAPWSphi::phi_dd().

◆ phi0_dd()

doublereal phi0_dd ( ) const

protected

Calculate d2_phi0_dd(delta), the second derivative of phi0 wrt delta.

Definition at line 616 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAsave.

Referenced by WaterPropsIAPWSphi::phi_dd().

◆ phi0_t()

doublereal phi0_t ( ) const

protected

Calculate d_phi0/d(tau)

Definition at line 646 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWSphi::intEnergy_RT(), and WaterPropsIAPWSphi::phi_t().

◆ phiR_t()

doublereal phiR_t ( ) const

protected

Calculate Equation 6.6 for dphiRdtau, the derivative residual part of the dimensionless Helmholtz free energy wrt temperature.

Definition at line 658 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWSphi::intEnergy_RT(), and WaterPropsIAPWSphi::phi_t().

◆ phiR_tt()

doublereal phiR_tt ( ) const

protected

Calculate Equation 6.6 for dphiRdtau, the second derivative residual part of the dimensionless Helmholtz free energy wrt temperature.

Definition at line 729 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::cv_R(), and WaterPropsIAPWSphi::phi_tt().

◆ phi0_tt()

doublereal phi0_tt ( ) const

protected

Calculate d2_phi0/dtau2.

Definition at line 716 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::TAUsave.

Referenced by WaterPropsIAPWSphi::cv_R(), and WaterPropsIAPWSphi::phi_tt().

◆ phiR_dt()

doublereal phiR_dt ( ) const

protected

Calculate the mixed derivative d2_phiR/(dtau ddelta)

Definition at line 802 of file WaterPropsIAPWSphi.cpp.

References WaterPropsIAPWSphi::DELTAp, WaterPropsIAPWSphi::DELTAsave, WaterPropsIAPWSphi::phi(), WaterPropsIAPWSphi::TAUp, WaterPropsIAPWSphi::TAUsave, and WaterPropsIAPWSphi::TAUsqrt.

Referenced by WaterPropsIAPWSphi::cp_R(), and WaterPropsIAPWSphi::dimdpdT().

◆ phi0_dt()

doublereal phi0_dt ( ) const

protected

Calculate the mixed derivative d2_phi0/(dtau ddelta)

Definition at line 797 of file WaterPropsIAPWSphi.cpp.

Member Data Documentation

◆ TAUp

doublereal TAUp[52]

protected

Value of internally calculated polynomials of powers of TAU.

Definition at line 185 of file WaterPropsIAPWSphi.h.

Referenced by WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), WaterPropsIAPWSphi::phiR_tt(), WaterPropsIAPWSphi::tdpolycalc(), and WaterPropsIAPWSphi::WaterPropsIAPWSphi().

◆ DELTAp

doublereal DELTAp[16]

protected

Value of internally calculated polynomials of powers of delta.

Definition at line 188 of file WaterPropsIAPWSphi.h.

Referenced by WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), WaterPropsIAPWSphi::phiR_tt(), WaterPropsIAPWSphi::tdpolycalc(), and WaterPropsIAPWSphi::WaterPropsIAPWSphi().

◆ TAUsave

doublereal TAUsave

protected

Last tau that was used to calculate polynomials.

Definition at line 191 of file WaterPropsIAPWSphi.h.

Referenced by WaterPropsIAPWSphi::cp_R(), WaterPropsIAPWSphi::cv_R(), WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWSphi::intEnergy_RT(), WaterPropsIAPWSphi::phi0(), WaterPropsIAPWSphi::phi0_t(), WaterPropsIAPWSphi::phi0_tt(), WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), WaterPropsIAPWSphi::phiR_tt(), and WaterPropsIAPWSphi::tdpolycalc().

◆ TAUsqrt

doublereal TAUsqrt

protected

sqrt of TAU

Definition at line 194 of file WaterPropsIAPWSphi.h.

Referenced by WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), WaterPropsIAPWSphi::phiR_tt(), and WaterPropsIAPWSphi::tdpolycalc().

◆ DELTAsave

doublereal DELTAsave

protected

Last delta that was used to calculate polynomials.

Definition at line 197 of file WaterPropsIAPWSphi.h.

Referenced by WaterPropsIAPWSphi::cp_R(), WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWSphi::gibbs_RT(), WaterPropsIAPWSphi::phi0(), WaterPropsIAPWSphi::phi0_d(), WaterPropsIAPWSphi::phi0_dd(), WaterPropsIAPWSphi::phiR(), WaterPropsIAPWSphi::phiR_d(), WaterPropsIAPWSphi::phiR_dd(), WaterPropsIAPWSphi::phiR_dt(), WaterPropsIAPWSphi::phiR_t(), WaterPropsIAPWSphi::phiR_tt(), and WaterPropsIAPWSphi::tdpolycalc().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ WaterPropsIAPWSphi()

Member Function Documentation

◆ phi()

◆ phi_d()

◆ phi_dd()

◆ phi_t()

◆ phi_tt()

◆ pressureM_rhoRT()

◆ dimdpdrho()

◆ dimdpdT()

◆ dfind()

◆ gibbs_RT()

◆ enthalpy_RT()

◆ entropy_R()

◆ intEnergy_RT()

◆ cv_R()

◆ cp_R()

◆ tdpolycalc()

◆ phiR()

◆ phi0()

◆ phiR_d()

◆ phi0_d()

◆ phiR_dd()

◆ phi0_dd()

◆ phi0_t()

◆ phiR_t()

◆ phiR_tt()

◆ phi0_tt()

◆ phiR_dt()

◆ phi0_dt()

Member Data Documentation

◆ TAUp

◆ DELTAp

◆ TAUsave

◆ TAUsqrt

◆ DELTAsave