Properties of pure molecular hydrogen $H_2$ . More...

#include <H2.hpp>

Inheritance diagram for Opm::H2< Scalar >:

Public Member Functions
template<>
const double	brineSalinity

template<>
const float	brineSalinity

Static Public Member Functions
static std::string	name ()
	A human readable name for the .

static constexpr Scalar	molarMass ()
	The molar mass in $\mathrm{[kg/mol]}$ of molecular hydrogen.

static Scalar	criticalTemperature ()
	Returns the critical temperature $\mathrm{[K]}$ of molecular hydrogen.

static Scalar	criticalPressure ()
	Returns the critical pressure $\mathrm{[Pa]}$ of molecular hydrogen.

static Scalar	criticalDensity ()
	Returns the critical density $\mathrm{[mol/cm^3]}$ of molecular hydrogen.

static Scalar	tripleTemperature ()
	Returns the temperature $\mathrm{[K]}$ at molecular hydrogen's triple point.

static Scalar	triplePressure ()
	Returns the pressure $\mathrm{[Pa]}$ of molecular hydrogen's triple point.

static Scalar	tripleDensity ()
	Returns the density $\mathrm{[mol/cm^3]}$ of molecular hydrogen's triple point.

static Scalar	criticalVolume ()
	Critical volume of [m2/kmol].

static Scalar	acentricFactor ()
	Acentric factor of .

template<class Evaluation >
static Evaluation	vaporPressure (Evaluation temperature)
	The vapor pressure in $\mathrm{[Pa]}$ of pure molecular hydrogen at a given temperature. More...

template<class Evaluation >
static Evaluation	gasDensity (Evaluation temperature, Evaluation pressure, bool extrapolate=false)
	The density $\mathrm{[kg/m^3]}$ of at a given pressure and temperature. More...

template<class Evaluation >
static Evaluation	gasMolarDensity (Evaluation temperature, Evaluation pressure, bool extrapolate=false)
	The molar density of in $\mathrm{[mol/m^3]}$ , depending on pressure and temperature. More...

static constexpr bool	gasIsCompressible ()
	Returns true if the gas phase is assumed to be compressible.

static constexpr bool	gasIsIdeal ()
	Returns true if the gas phase is assumed to be ideal.

template<class Evaluation >
static Evaluation	gasPressure (Evaluation temperature, Evaluation density)
	The pressure of gaseous in $\mathrm{[Pa]}$ at a given density and temperature. More...

template<class Evaluation >
static Evaluation	gasInternalEnergy (const Evaluation &temperature, const Evaluation &pressure, bool extrapolate=false)
	Specific internal energy of H2 [J/kg].

template<class Evaluation >
static const Evaluation	gasEnthalpy (Evaluation temperature, Evaluation pressure, bool extrapolate=false)
	Specific enthalpy $\mathrm{[J/kg]}$ of pure hydrogen gas. More...

template<class Evaluation >
static Evaluation	gasViscosity (const Evaluation &temperature, const Evaluation &pressure, bool extrapolate=false)
	The dynamic viscosity $\mathrm{[Pa*s]}$ of at a given pressure and temperature. More...

template<class Evaluation >
static const Evaluation	gasHeatCapacity (Evaluation temperature, Evaluation pressure)
	Specific isobaric heat capacity $\mathrm{[J/(kg*K)]}$ of pure hydrogen gas. More...

template<class Evaluation >
static const Evaluation	gasIsochoricHeatCapacity (Evaluation temperature, Evaluation pressure)
	Specific isochoric heat capacity $\mathrm{[J/(kg*K)]}$ of pure hydrogen gas. More...

template<class Evaluation >
static Evaluation	reducedMolarDensity (const Evaluation &temperature, const Evaluation &pg, bool extrapolate=false)
	Calculate reduced density (rho/rho_crit) from pressure and temperature. More...

template<class Evaluation >
static Evaluation	idealGasPartHelmholtz (const Evaluation &T_red, const Evaluation &rho_red)
	The ideal-gas part of Helmholtz energy. More...

template<class Evaluation >
static Evaluation	derivIdealHelmholtzWrtRecipRedTemp (const Evaluation &T_red)
	Derivative of the ideal-gas part of Helmholtz energy wrt to reciprocal reduced temperature. More...

template<class Evaluation >
static Evaluation	secDerivIdealHelmholtzWrtRecipRedTemp (const Evaluation &T_red)
	Second derivative of the ideal-gas part of Helmholtz energy wrt to reciprocal reduced temperature. More...

template<class Evaluation >
static Evaluation	residualPartHelmholtz (const Evaluation &T_red, const Evaluation &rho_red)
	The residual part of Helmholtz energy. More...

template<class Evaluation >
static Evaluation	derivResHelmholtzWrtRedRho (const Evaluation &T_red, const Evaluation &rho_red)
	Derivative of the residual part of Helmholtz energy wrt. More...

template<class Evaluation >
static Evaluation	secDerivResHelmholtzWrtRedRho (const Evaluation &T_red, const Evaluation &rho_red)
	Second derivative of the residual part of Helmholtz energy wrt. More...

template<class Evaluation >
static Evaluation	derivResHelmholtzWrtRecipRedTemp (const Evaluation &T_red, const Evaluation &rho_red)
	Derivative of the residual part of Helmholtz energy wrt. More...

template<class Evaluation >
static Evaluation	secDerivResHelmholtzWrtRecipRedTemp (const Evaluation &T_red, const Evaluation &rho_red)
	Second derivative of the residual part of Helmholtz energy wrt. More...

template<class Evaluation >
static Evaluation	secDerivResHelmholtzWrtRecipRedTempAndRedRho (const Evaluation &T_red, const Evaluation &rho_red)
	Second derivative of the residual part of Helmholtz energy first wrt. More...

Static Public Member Functions inherited from Opm::Component< Scalar, H2< Scalar > >
static void	init (Scalar, Scalar, unsigned, Scalar, Scalar, unsigned)
	A default routine for initialization, not needed for components and must not be called. More...

static bool	gasIsCompressible ()
	Returns true iff the gas phase is assumed to be compressible.

static bool	gasIsIdeal ()
	Returns true iff the gas phase is assumed to be ideal.

static bool	liquidIsCompressible ()
	Returns true iff the liquid phase is assumed to be compressible.

static std::string_view	name ()
	A human readable name for the component.

static Scalar	molarMass ()
	The molar mass in $\mathrm{[kg]}$ of the component.

static Scalar	criticalTemperature ()
	Returns the critical temperature in $\mathrm{[K]}$ of the component.

static Scalar	criticalPressure ()
	Returns the critical pressure in $\mathrm{[Pa]}$ of the component.

static Scalar	acentricFactor ()
	Returns the acentric factor of the component.

static Scalar	criticalVolume ()
	Returns the critical volume in $\mathrm{[m2/kmol]}$ of the component.

static Scalar	tripleTemperature ()
	Returns the temperature in $\mathrm{[K]}$ at the component's triple point.

static Scalar	triplePressure ()
	Returns the pressure in $\mathrm{[Pa]}$ at the component's triple point.

static Evaluation	vaporPressure (const Evaluation &)
	The vapor pressure in $\mathrm{[Pa]}$ of the component at a given temperature in $\mathrm{[K]}$ . More...

static Evaluation	gasDensity (const Evaluation &, const Evaluation &)
	The density in $\mathrm{[kg/m^3]}$ of the component at a given pressure in $\mathrm{[Pa]}$ and temperature in $\mathrm{[K]}$ . More...

static Evaluation	liquidDensity (const Evaluation &, const Evaluation &)
	The density $\mathrm{[kg/m^3]}$ of the liquid component at a given pressure in $\mathrm{[Pa]}$ and temperature in $\mathrm{[K]}$ . More...

static Evaluation	gasEnthalpy (const Evaluation &, const Evaluation &)
	Specific enthalpy $\mathrm{[J/kg]}$ of the pure component in gas. More...

static Evaluation	liquidEnthalpy (const Evaluation &, const Evaluation &)
	Specific enthalpy $\mathrm{[J/kg]}$ of the pure component in liquid. More...

static Evaluation	gasInternalEnergy (const Evaluation &, const Evaluation &)
	Specific internal energy $\mathrm{[J/kg]}$ of the pure component in gas. More...

static Evaluation	liquidInternalEnergy (const Evaluation &, const Evaluation &)
	Specific internal energy $\mathrm{[J/kg]}$ of pure the pure component in liquid. More...

static Evaluation	gasViscosity (const Evaluation &, const Evaluation &)
	The dynamic viscosity $\mathrm{[Pa*s]}$ of the pure component at a given pressure in $\mathrm{[Pa]}$ and temperature in $\mathrm{[K]}$ . More...

static Evaluation	liquidViscosity (const Evaluation &, const Evaluation &)
	The dynamic liquid viscosity $\mathrm{[Pa*s]}$ of the pure component. More...

static Evaluation	gasThermalConductivity (const Evaluation &, const Evaluation &)
	Thermal conductivity of the component [W/(m^2 K/m)] as a gas.

static Evaluation	liquidThermalConductivity (const Evaluation &, const Evaluation &)
	Thermal conductivity of the component [W/(m^2 K/m)] as a liquid.

static Evaluation	gasHeatCapacity (const Evaluation &, const Evaluation &)
	Specific isobaric heat capacity of the component [J/kg] as a gas.

static Evaluation	liquidHeatCapacity (const Evaluation &, const Evaluation &)
	Specific isobaric heat capacity of the component [J/kg] as a liquid.

Static Public Attributes
static const Scalar	brineSalinity

Static Public Attributes inherited from Opm::Component< Scalar, H2< Scalar > >
static constexpr bool	isTabulated

Additional Inherited Members
Public Types inherited from Opm::Component< Scalar, H2< Scalar > >
typedef Scalar	Scalar

Detailed Description

template<class Scalar>
class Opm::H2< Scalar >

Properties of pure molecular hydrogen $H_2$ .

Most of the properties are calculated based on Leachman JW, Jacobsen RT, Penoncello SG, Lemmon EW. Fundamental equations of state for parahydrogen, normal hydrogen, and orthohydrogen. J Phys Chem Reference Data 2009;38:721e48. Their approach uses the fundamental Helmholtz free energy thermodynamic EOS, which is better suited for many gases such as H2. See also Span R, Lemmon EW, Jacobsen RT, Wagner W, Yokozeki A. A Reference Equation of State for the Thermodynamic Properties of Nitrogen for Temperatures from 63.151 to 1000 K and Pressures to 2200 MPa for explicit equations derived from the fundamental EOS formula.

OBS: All equation and table references here are taken from Leachman et al. (2009) unless otherwise stated!

Template Parameters

Scalar The type used for scalar values

Member Function Documentation

◆ derivIdealHelmholtzWrtRecipRedTemp()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::derivIdealHelmholtzWrtRecipRedTemp ( const Evaluation & T_red )

inlinestatic

Derivative of the ideal-gas part of Helmholtz energy wrt to reciprocal reduced temperature.

Parameters

T_red reduced temperature [-]

◆ derivResHelmholtzWrtRecipRedTemp()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::derivResHelmholtzWrtRecipRedTemp	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

Derivative of the residual part of Helmholtz energy wrt.

reciprocal reduced temperature.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ derivResHelmholtzWrtRedRho()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::derivResHelmholtzWrtRedRho	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

Derivative of the residual part of Helmholtz energy wrt.

reduced density.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ gasDensity()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::gasDensity	(	Evaluation	temperature,
		Evaluation	pressure,
		bool	extrapolate = `false`
	)

inlinestatic

The density $\mathrm{[kg/m^3]}$ of $H_2$ at a given pressure and temperature.

Parameters

temperature	temperature of component in $\mathrm{[K]}$
pressure	pressure of component in $\mathrm{[Pa]}$
extrapolate	True to use extrapolation

◆ gasEnthalpy()

template<class Scalar >

template<class Evaluation >

static const Evaluation Opm::H2< Scalar >::gasEnthalpy	(	Evaluation	temperature,
		Evaluation	pressure,
		bool	extrapolate = `false`
	)

inlinestatic

Specific enthalpy $\mathrm{[J/kg]}$ of pure hydrogen gas.

Parameters

temperature	temperature of component in $\mathrm{[K]}$
pressure	pressure of component in $\mathrm{[Pa]}$
extrapolate	True to use extrapolation

◆ gasHeatCapacity()

template<class Scalar >

template<class Evaluation >

static const Evaluation Opm::H2< Scalar >::gasHeatCapacity	(	Evaluation	temperature,
		Evaluation	pressure
	)

inlinestatic

Specific isobaric heat capacity $\mathrm{[J/(kg*K)]}$ of pure hydrogen gas.

This is equivalent to the partial derivative of the specific enthalpy to the temperature.

Parameters

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

◆ gasIsochoricHeatCapacity()

template<class Scalar >

template<class Evaluation >

static const Evaluation Opm::H2< Scalar >::gasIsochoricHeatCapacity	(	Evaluation	temperature,
		Evaluation	pressure
	)

inlinestatic

Specific isochoric heat capacity $\mathrm{[J/(kg*K)]}$ of pure hydrogen gas.

Parameters

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

◆ gasMolarDensity()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::gasMolarDensity	(	Evaluation	temperature,
		Evaluation	pressure,
		bool	extrapolate = `false`
	)

inlinestatic

The molar density of $H_2$ in $\mathrm{[mol/m^3]}$ , depending on pressure and temperature.

Parameters

temperature	The temperature of the gas
pressure	The pressure of the gas
extrapolate	True to use extrapolation

◆ gasPressure()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::gasPressure	(	Evaluation	temperature,
		Evaluation	density
	)

inlinestatic

The pressure of gaseous $H_2$ in $\mathrm{[Pa]}$ at a given density and temperature.

Parameters

temperature	temperature of component in $\mathrm{[K]}$
density	density of component in $\mathrm{[kg/m^3]}$

◆ gasViscosity()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::gasViscosity	(	const Evaluation &	temperature,
		const Evaluation &	pressure,
		bool	extrapolate = `false`
	)

inlinestatic

The dynamic viscosity $\mathrm{[Pa*s]}$ of $H_2$ at a given pressure and temperature.

Parameters

temperature	temperature of component in $\mathrm{[K]}$
pressure	pressure of component in $\mathrm{[Pa]}$
extrapolate	True to use extrapolation

See: Muzney et al., J. Chem. Eng. Data 2013, 58, 4, 969–979 (and the corrections!)

◆ idealGasPartHelmholtz()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::idealGasPartHelmholtz	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

The ideal-gas part of Helmholtz energy.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ reducedMolarDensity()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::reducedMolarDensity	(	const Evaluation &	temperature,
		const Evaluation &	pg,
		bool	extrapolate = `false`
	)

inlinestatic

Calculate reduced density (rho/rho_crit) from pressure and temperature.

The conversion is done using the simplest root-finding algorithm, i.e. the bisection method.

Parameters

pg	gas phase pressure [Pa]
temperature	temperature [K]
extrapolate	True to use extrapolation

◆ residualPartHelmholtz()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::residualPartHelmholtz	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

The residual part of Helmholtz energy.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ secDerivIdealHelmholtzWrtRecipRedTemp()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::secDerivIdealHelmholtzWrtRecipRedTemp ( const Evaluation & T_red )

inlinestatic

Second derivative of the ideal-gas part of Helmholtz energy wrt to reciprocal reduced temperature.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ secDerivResHelmholtzWrtRecipRedTemp()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::secDerivResHelmholtzWrtRecipRedTemp	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

Second derivative of the residual part of Helmholtz energy wrt.

reciprocal reduced temperature.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ secDerivResHelmholtzWrtRecipRedTempAndRedRho()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::secDerivResHelmholtzWrtRecipRedTempAndRedRho	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

Second derivative of the residual part of Helmholtz energy first wrt.

reciprocal reduced temperature, and second wrt. reduced density (i.e. d^2 H / drho_red dT_red).

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ secDerivResHelmholtzWrtRedRho()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::secDerivResHelmholtzWrtRedRho	(	const Evaluation &	T_red,
		const Evaluation &	rho_red
	)

inlinestatic

Second derivative of the residual part of Helmholtz energy wrt.

reduced density.

Parameters

T_red	reduced temperature [-]
rho_red	reduced density [-]

◆ vaporPressure()

template<class Scalar >

template<class Evaluation >

static Evaluation Opm::H2< Scalar >::vaporPressure ( Evaluation temperature )

inlinestatic

The vapor pressure in $\mathrm{[Pa]}$ of pure molecular hydrogen at a given temperature.

Parameters

temperature temperature of component in $\mathrm{[K]}$

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

opm/material/components/H2.hpp

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<class Scalar> class Opm::H2< Scalar >

Member Function Documentation

◆ derivIdealHelmholtzWrtRecipRedTemp()

◆ derivResHelmholtzWrtRecipRedTemp()

◆ derivResHelmholtzWrtRedRho()

◆ gasDensity()

◆ gasEnthalpy()

◆ gasHeatCapacity()

◆ gasIsochoricHeatCapacity()

◆ gasMolarDensity()

◆ gasPressure()

◆ gasViscosity()

◆ idealGasPartHelmholtz()

◆ reducedMolarDensity()

◆ residualPartHelmholtz()

◆ secDerivIdealHelmholtzWrtRecipRedTemp()

◆ secDerivResHelmholtzWrtRecipRedTemp()

◆ secDerivResHelmholtzWrtRecipRedTempAndRedRho()

◆ secDerivResHelmholtzWrtRedRho()

◆ vaporPressure()

template<class Scalar>
class Opm::H2< Scalar >