Implements the equations for region 1 of the IAPWS '97 formulation. More...

#include <dumux/material/components/iapws/region1.hh>

Description

template<class Scalar>
class Dumux::IAPWS::Region1< Scalar >

Implements the equations for region 1 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 1 applies for a (temperature in \(\mathrm{[K]}\), pressure in \(\mathrm{[Pa]}\)) pair. More...

static constexpr Scalar	tau (Scalar temperature)
	Returns the reduced temperature for IAPWS region 1. More...

static constexpr Scalar	dTau_dt (Scalar temperature)
	Returns the derivative of the reduced temperature to the temperature for IAPWS region 1 in \(\mathrm{[1/K]}\). More...

static constexpr Scalar	pi (Scalar pressure)
	Returns the reduced pressure for IAPWS region 1. More...

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

static Scalar	gamma (Scalar temperature, Scalar pressure)
	The Gibbs free energy (dimensionless) for IAPWS region 1 (i.e. liquid) More...

static Scalar	dGamma_dTau (Scalar temperature, Scalar pressure)
	The partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 1 (i.e. liquid) (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 1 (i.e. liquid) 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 1 (i.e. liquid water) (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 1 (i.e. liquid water) (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 1 (i.e. liquid) (dimensionless). More...

Member Function Documentation

◆ checkValidityRange()

template<class Scalar >

static void Dumux::IAPWS::Region1< Scalar >::checkValidityRange	(	Scalar	temperature,
		Scalar	pressure,
		const std::string &	propertyName = `"This property"`
	)

inlinestatic

Returns true if IAPWS region 1 applies for a (temperature in \(\mathrm{[K]}\), pressure in \(\mathrm{[Pa]}\)) 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::Region1< Scalar >::ddGamma_ddPi	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The second partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 1 (i.e. liquid water) (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::Region1< Scalar >::ddGamma_ddTau	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The second partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 1 (i.e. liquid) (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::Region1< 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 1 (i.e. liquid water) (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::Region1< Scalar >::dGamma_dPi	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 1 (i.e. liquid) 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::Region1< Scalar >::dGamma_dTau	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 1 (i.e. liquid) (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::Region1< Scalar >::dp_dPi ( Scalar pressure )

inlinestaticconstexpr

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

Parameters

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

◆ dPi_dp()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region1< Scalar >::dPi_dp ( Scalar pressure )

inlinestaticconstexpr

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

Parameters

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

◆ dTau_dt()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region1< Scalar >::dTau_dt ( Scalar temperature )

inlinestaticconstexpr

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

Parameters

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

◆ gamma()

template<class Scalar >

static Scalar Dumux::IAPWS::Region1< Scalar >::gamma	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

The Gibbs free energy (dimensionless) for IAPWS region 1 (i.e. liquid)

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::Region1< Scalar >::pi ( Scalar pressure )

inlinestaticconstexpr

Returns the reduced pressure for IAPWS region 1.

Parameters

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

◆ tau()

template<class Scalar >

static constexpr Scalar Dumux::IAPWS::Region1< Scalar >::tau ( Scalar temperature )

inlinestaticconstexpr

Returns the reduced temperature for IAPWS region 1.

Parameters

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

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

region1.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()