Detailed Description

The base class class for the Helmholtz energy terms.

Residual Helmholtz Energy Terms:

Term	Helmholtz Energy Contribution
ResidualHelmholtzPower	\( \alpha^r=\left\lbrace\begin{array}{cc}\displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} & l_i=0\\ \displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} \exp(-\delta^{l_i}) & l_i\neq 0\end{array}\right.\)
ResidualHelmholtzExponential	\( \alpha^r=\displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} \exp(-\gamma_i\delta^{l_i}) \)
ResidualHelmholtzLemmon2005	\( \alpha^r=\displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} \exp(-\delta^{l_i}-\tau^{m_i})\)
ResidualHelmholtzGaussian	\( \alpha^r=\displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} \exp(-\eta_i(\delta-\epsilon_i)^2-\beta_i(\tau-\gamma_i)^2)\)
ResidualHelmholtzGERG2008Gaussian	\( \alpha^r=\displaystyle\sum_i n_i \delta^{d_i} \tau^{t_i} \exp(-\eta_i(\delta-\epsilon_i)^2-\beta_i(\delta-\gamma_i))\)
ResidualHelmholtzNonAnalytic	\( \begin{array}{c}\alpha^r&=&\displaystyle\sum_i n_i \Delta^{b_i}\delta\psi \\ \Delta & = & \theta^2+B_i[(\delta-1)^2]^{a_i}\\ \theta & = & (1-\tau)+A_i[(\delta-1)^2]^{1/(2\beta_i)}\\ \psi & = & \exp(-C_i(\delta-1)^2-D_i(\tau-1)^2) \end{array}\)
ResidualHelmholtzSAFTAssociating	\( \alpha^r = am\left(\ln X-\frac{X}{2}+\frac{1}{2}\right); \)

Ideal-Gas Helmholtz Energy Terms:

Term	Helmholtz Energy Contribution
IdealHelmholtzLead	\( \alpha^0 = n_1 + n_2\tau + \ln\delta \)
IdealHelmholtzEnthalpyEntropyOffset	\( \alpha^0 = \displaystyle\frac{\Delta s}{R_u/M}+\frac{\Delta h}{(R_u/M)T}\tau \)
IdealHelmholtzLogTau	\( \alpha^0 = n_1\log\tau \)
IdealHelmholtzPower	\( \alpha^0 = \displaystyle\sum_i n_i\tau^{t_i} \)
IdealHelmholtzPlanckEinsteinGeneralized	\( \alpha^0 = \displaystyle\sum_i n_i\log[c_i+d_i\exp(\theta_i\tau)] \)

#include <Helmholtz.h>

Inheritance diagram for CoolProp::BaseHelmholtzTerm:

[legend]

Public Member Functions
virtual CoolPropDbl	base (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the base, non-dimensional, Helmholtz energy term (no derivatives) [-]. More...

virtual CoolPropDbl	dTau (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the first partial derivative of Helmholtz energy term with respect to tau [-]. More...

virtual CoolPropDbl	dTau2 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the second partial derivative of Helmholtz energy term with respect to tau [-]. More...

virtual CoolPropDbl	dDelta_dTau (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the second mixed partial derivative (delta1,dtau1) of Helmholtz energy term with respect to delta and tau [-]. More...

virtual CoolPropDbl	dDelta (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the first partial derivative of Helmholtz energy term with respect to delta [-]. More...

virtual CoolPropDbl	dDelta2 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the second partial derivative of Helmholtz energy term with respect to delta [-]. More...

virtual CoolPropDbl	dDelta2_dTau (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the third mixed partial derivative (delta2,dtau1) of Helmholtz energy term with respect to delta and tau [-]. More...

virtual CoolPropDbl	dDelta_dTau2 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the third mixed partial derivative (delta1,dtau2) of Helmholtz energy term with respect to delta and tau [-]. More...

virtual CoolPropDbl	dTau3 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the third partial derivative of Helmholtz energy term with respect to tau [-]. More...

virtual CoolPropDbl	dDelta3 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the third partial derivative of Helmholtz energy term with respect to delta [-]. More...

virtual CoolPropDbl	dTau4 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()
	Returns the fourth partial derivative of Helmholtz energy term with respect to tau [-]. More...

virtual CoolPropDbl	dDelta_dTau3 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()

virtual CoolPropDbl	dDelta2_dTau2 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()

virtual CoolPropDbl	dDelta3_dTau (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()

virtual CoolPropDbl	dDelta4 (const CoolPropDbl &tau, const CoolPropDbl &delta) throw ()

virtual void	all (const CoolPropDbl &tau, const CoolPropDbl &delta, HelmholtzDerivatives &derivs)=0 throw ()

Member Function Documentation

◆ base()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::base	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the base, non-dimensional, Helmholtz energy term (no derivatives) [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the first partial derivative of Helmholtz energy term with respect to delta [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta2()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta2	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the second partial derivative of Helmholtz energy term with respect to delta [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta2_dTau()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta2_dTau	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the third mixed partial derivative (delta2,dtau1) of Helmholtz energy term with respect to delta and tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta3()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta3	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the third partial derivative of Helmholtz energy term with respect to delta [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta_dTau()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta_dTau	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the second mixed partial derivative (delta1,dtau1) of Helmholtz energy term with respect to delta and tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dDelta_dTau2()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dDelta_dTau2	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the third mixed partial derivative (delta1,dtau2) of Helmholtz energy term with respect to delta and tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dTau()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dTau	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the first partial derivative of Helmholtz energy term with respect to tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dTau2()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dTau2	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the second partial derivative of Helmholtz energy term with respect to tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dTau3()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dTau3	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the third partial derivative of Helmholtz energy term with respect to tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

◆ dTau4()

virtual CoolPropDbl CoolProp::BaseHelmholtzTerm::dTau4	(	const CoolPropDbl &	tau,
		const CoolPropDbl &	delta
	)
throw	(
	)

inlinevirtual

Returns the fourth partial derivative of Helmholtz energy term with respect to tau [-].

Parameters

tau	Reciprocal reduced temperature where \(\tau=T_c / T\)
delta	Reduced density where \(\delta = \rho / \rho_c \)

Reimplemented in CoolProp::ResidualHelmholtzSAFTAssociating.

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

include/Helmholtz.h

Detailed Description

Public Member Functions

Member Function Documentation

◆ base()

◆ dDelta()

◆ dDelta2()

◆ dDelta2_dTau()

◆ dDelta3()

◆ dDelta_dTau()

◆ dDelta_dTau2()

◆ dTau()

◆ dTau2()

◆ dTau3()

◆ dTau4()