Implements the equations for region 2 of the IAPWS '97 formulation. More...

#include <dumux/material/components/iapws/region2.hh>

Description

template<class Scalar>
class Dumux::IAPWS::Region2< Scalar >

Implements the equations for region 2 of the IAPWS '97 formulation.

Template Parameters

Scalar The type used for scalar values See:

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

Static Public Member Functions
static void	checkValidityRange (Scalar temperature, Scalar pressure, const std::string &propertyName="This property")
	Returns true if IAPWS region 2 applies for a (temperature, pressure) pair. More...

static constexpr Scalar	tau (Scalar temperature)
	Returns the reduced temperature (dimensionless) for IAPWS region 2. More...

static constexpr Scalar	dTau_dt (Scalar temperature)
	Returns the derivative of the reduced temperature to the temperature for IAPWS region 2. More...

static constexpr Scalar	pi (Scalar pressure)
	Returns the reduced pressure (dimensionless) for IAPWS region 2. More...

static constexpr Scalar	dPi_dp (Scalar pressure)
	Returns the derivative of the reduced pressure to the pressure for IAPWS region 2 in \(\mathrm{[1/Pa]}\). More...

static constexpr Scalar	dp_dPi (Scalar pressure)
	Returns the derivative of the pressure to the reduced pressure for IAPWS region 2 (dimensionless). More...

static Scalar	gamma (Scalar temperature, Scalar pressure)
	The Gibbs free energy for IAPWS region 2 (i.e. sub-critical steam) (dimensionless). More...

static Scalar	dGamma_dTau (Scalar temperature, Scalar pressure)
	The partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) dimensionless). More...

static Scalar	dGamma_dPi (Scalar temperature, Scalar pressure)
	The partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 2 (i.e. sub-critical steam) (dimensionless). More...

static Scalar	ddGamma_dTaudPi (Scalar temperature, Scalar pressure)
	The partial derivative of the Gibbs free energy to the normalized pressure and to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) (dimensionless). More...

static Scalar	ddGamma_ddPi (Scalar temperature, Scalar pressure)
	The second partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 2 (i.e. sub-critical steam) (dimensionless). More...

static Scalar	ddGamma_ddTau (Scalar temperature, Scalar pressure)
	The second partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) (dimensionless). More...

Member Function Documentation

◆ checkValidityRange()

template<class Scalar >

static void Dumux::IAPWS::Region2< Scalar >::checkValidityRange	(	Scalar	temperature,
		Scalar	pressure,
		const std::string &	propertyName = `"This property"`
	)

inlinestatic

Returns true if IAPWS region 2 applies for a (temperature, pressure) pair.

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)
propertyName	the name for which property the check is performed

◆ ddGamma_ddPi()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::ddGamma_ddPi	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The second partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 2 (i.e. sub-critical steam) (dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ ddGamma_ddTau()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::ddGamma_ddTau	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The second partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) (dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ ddGamma_dTaudPi()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::ddGamma_dTaudPi	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The partial derivative of the Gibbs free energy to the normalized pressure and to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) (dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ dGamma_dPi()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::dGamma_dPi	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 2 (i.e. sub-critical steam) (dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ dGamma_dTau()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::dGamma_dTau	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 2 (i.e. sub-critical steam) dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ dp_dPi()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region2< Scalar >::dp_dPi ( Scalar pressure )

inlinestaticconstexpr

Returns the derivative of the pressure to the reduced pressure for IAPWS region 2 (dimensionless).

Parameters

pressure pressure of component in \(\mathrm{[Pa]}\)

◆ dPi_dp()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region2< Scalar >::dPi_dp ( Scalar pressure )

inlinestaticconstexpr

Returns the derivative of the reduced pressure to the pressure for IAPWS region 2 in \(\mathrm{[1/Pa]}\).

Parameters

pressure pressure of component in \(\mathrm{[Pa]}\)

◆ dTau_dt()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region2< Scalar >::dTau_dt ( Scalar temperature )

inlinestaticconstexpr

Returns the derivative of the reduced temperature to the temperature for IAPWS region 2.

Parameters

temperature temperature of component in \(\mathrm{[K]}\)

◆ gamma()

template<class Scalar >

static Scalar Dumux::IAPWS::Region2< Scalar >::gamma	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The Gibbs free energy for IAPWS region 2 (i.e. sub-critical steam) (dimensionless).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

IAPWS: "Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam", http://www.iapws.org/relguide/IF97-Rev.pdf

◆ pi()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region2< Scalar >::pi ( Scalar pressure )

inlinestaticconstexpr

Returns the reduced pressure (dimensionless) for IAPWS region 2.

Parameters

pressure pressure of component in \(\mathrm{[Pa]}\)

◆ tau()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region2< Scalar >::tau ( Scalar temperature )

inlinestaticconstexpr

Returns the reduced temperature (dimensionless) for IAPWS region 2.

Parameters

temperature temperature of component in \(\mathrm{[K]}\)

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

region2.hh

Description

Static Public Member Functions

Member Function Documentation

◆ checkValidityRange()

◆ ddGamma_ddPi()

◆ ddGamma_ddTau()

◆ ddGamma_dTaudPi()

◆ dGamma_dPi()

◆ dGamma_dTau()

◆ dp_dPi()

◆ dPi_dp()

◆ dTau_dt()

◆ gamma()

◆ pi()

◆ tau()