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

#include <Region1.hpp>

Static Public Member Functions
template<class Evaluation >
static bool	isValid (const Evaluation &temperature, const Evaluation &pressure)
	Returns true if IAPWS region 1 applies for a (temperature in $\mathrm{[K]}$ , pressure in $\mathrm{[Pa]}$ ) pair. More...

template<class Evaluation >
static Evaluation	tau (const Evaluation &temperature)
	Returns the reduced temperature for IAPWS region 1. More...

template<class Evaluation >
static Evaluation	dtau_dT (const Evaluation &temperature)
	Returns the derivative of the reduced temperature to the temperature for IAPWS region 1 in $\mathrm{[1/K]}$ . More...

template<class Evaluation >
static Evaluation	pi (const Evaluation &pressure)
	Returns the reduced pressure for IAPWS region 1. More...

template<class Evaluation >
static Scalar	dpi_dp (const Evaluation &)
	Returns the derivative of the reduced pressure to the pressure for IAPWS region 1 in $\mathrm{[1/Pa]}$ . More...

template<class Evaluation >
static Scalar	dp_dpi (const Evaluation &)
	Returns the derivative of the pressure to the reduced pressure for IAPWS region 1 in $\mathrm{[Pa]}$ . More...

template<class Evaluation >
static Evaluation	gamma (const Evaluation &temperature, const Evaluation &pressure)
	The Gibbs free energy (dimensionless) for IAPWS region 1 (i.e. More...

template<class Evaluation >
static Evaluation	dgamma_dtau (const Evaluation &temperature, const Evaluation &pressure)
	The partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 1 (i.e. More...

template<class Evaluation >
static Evaluation	dgamma_dpi (const Evaluation &temperature, const Evaluation &pressure)
	The partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 1 (i.e. More...

template<class Evaluation >
static Evaluation	ddgamma_dtaudpi (const Evaluation &temperature, const Evaluation &pressure)
	The partial derivative of the Gibbs free energy to the normalized pressure and to the normalized temperature for IAPWS region 1 (i.e. More...

template<class Evaluation >
static Evaluation	ddgamma_ddpi (const Evaluation &temperature, const Evaluation &pressure)
	The second partial derivative of the Gibbs free energy to the normalized pressure for IAPWS region 1 (i.e. More...

template<class Evaluation >
static Evaluation	ddgamma_ddtau (const Evaluation &temperature, const Evaluation &pressure)
	The second partial derivative of the Gibbs free energy to the normalized temperature for IAPWS region 1 (i.e. More...

Detailed Description

template<class Scalar>
class Opm::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

Member Function Documentation

◆ ddgamma_ddpi()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::ddgamma_ddpi	(	const Evaluation &	temperature,
		const Evaluation &	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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::ddgamma_ddtau	(	const Evaluation &	temperature,
		const Evaluation &	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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::ddgamma_dtaudpi	(	const Evaluation &	temperature,
		const Evaluation &	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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::dgamma_dpi	(	const Evaluation &	temperature,
		const Evaluation &	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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::dgamma_dtau	(	const Evaluation &	temperature,
		const Evaluation &	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 >

template<class Evaluation >

static Scalar Opm::IAPWS::Region1< Scalar >::dp_dpi ( const Evaluation & )

inlinestatic

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 >

template<class Evaluation >

static Scalar Opm::IAPWS::Region1< Scalar >::dpi_dp ( const Evaluation & )

inlinestatic

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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::dtau_dT ( const Evaluation & temperature )

inlinestatic

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 >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::gamma	(	const Evaluation &	temperature,
		const Evaluation &	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

◆ isValid()

template<class Scalar >

template<class Evaluation >

static bool Opm::IAPWS::Region1< Scalar >::isValid	(	const Evaluation &	temperature,
		const Evaluation &	pressure
	)

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 $\mathrm{[Pa]}$

◆ pi()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::pi ( const Evaluation & pressure )

inlinestatic

Returns the reduced pressure for IAPWS region 1.

Parameters

pressure pressure of component in $\mathrm{[Pa]}$

◆ tau()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::IAPWS::Region1< Scalar >::tau ( const Evaluation & temperature )

inlinestatic

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:

opm/material/components/iapws/Region1.hpp

Static Public Member Functions

Detailed Description

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

Member Function Documentation

◆ ddgamma_ddpi()

◆ ddgamma_ddtau()

◆ ddgamma_dtaudpi()

◆ dgamma_dpi()

◆ dgamma_dtau()

◆ dp_dpi()

◆ dpi_dp()

◆ dtau_dT()

◆ gamma()

◆ isValid()

◆ pi()

◆ tau()

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