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Opm::H2< Scalar > Class Template Reference

Properties of pure molecular hydrogen . More...

`#include <H2.hpp>`

Inheritance diagram for Opm::H2< Scalar >:

## Public Member Functions

const double | brineSalinity
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 of molecular hydrogen.
static Scalar | criticalTemperature ()
| Returns the critical temperature of molecular hydrogen.
static Scalar | criticalPressure ()
| Returns the critical pressure of molecular hydrogen.
static Scalar | criticalDensity ()
| Returns the critical density of molecular hydrogen.
static Scalar | tripleTemperature ()
| Returns the temperature at molecular hydrogen's triple point.
static Scalar | triplePressure ()
| Returns the pressure of molecular hydrogen's triple point.
static Scalar | tripleDensity ()
| Returns the density 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 of pure molecular hydrogen at a given temperature.
template<class Evaluation >
static Evaluation | gasDensity (Evaluation temperature, Evaluation pressure, bool extrapolate=false)
| The density of at a given pressure and temperature.
template<class Evaluation >
static Evaluation | gasMolarDensity (Evaluation temperature, Evaluation pressure, bool extrapolate=false)
| The molar density of in , depending on pressure and temperature.
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 at a given density and temperature.
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 of pure hydrogen gas.
template<class Evaluation >
static Evaluation | gasViscosity (const Evaluation &temperature, const Evaluation &pressure, bool extrapolate=false)
| The dynamic viscosity of at a given pressure and temperature.
template<class Evaluation >
static const Evaluation | gasHeatCapacity (Evaluation temperature, Evaluation pressure)
| Specific isobaric heat capacity of pure hydrogen gas.
template<class Evaluation >
static const Evaluation | gasIsochoricHeatCapacity (Evaluation temperature, Evaluation pressure)
| Specific isochoric heat capacity of pure hydrogen gas.
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.
template<class Evaluation >
static Evaluation | idealGasPartHelmholtz (const Evaluation &T_red, const Evaluation &rho_red)
| The ideal-gas part of Helmholtz energy.
template<class Evaluation >
static Evaluation | derivIdealHelmholtzWrtRecipRedTemp (const Evaluation &T_red)
| Derivative of the ideal-gas part of Helmholtz energy wrt to reciprocal reduced temperature.
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.
template<class Evaluation >
static Evaluation | residualPartHelmholtz (const Evaluation &T_red, const Evaluation &rho_red)
| The residual part of Helmholtz energy.
template<class Evaluation >
static Evaluation | derivResHelmholtzWrtRedRho (const Evaluation &T_red, const Evaluation &rho_red)
| Derivative of the residual part of Helmholtz energy wrt.
template<class Evaluation >
static Evaluation | secDerivResHelmholtzWrtRedRho (const Evaluation &T_red, const Evaluation &rho_red)
| Second derivative of the residual part of Helmholtz energy wrt.
template<class Evaluation >
static Evaluation | derivResHelmholtzWrtRecipRedTemp (const Evaluation &T_red, const Evaluation &rho_red)
| Derivative of the residual part of Helmholtz energy wrt.
template<class Evaluation >
static Evaluation | secDerivResHelmholtzWrtRecipRedTemp (const Evaluation &T_red, const Evaluation &rho_red)
| Second derivative of the residual part of Helmholtz energy wrt.
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.
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.
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 of the component.
static Scalar | criticalTemperature ()
| Returns the critical temperature in of the component.
static Scalar | criticalPressure ()
| Returns the critical pressure in of the component.
static Scalar | acentricFactor ()
| Returns the acentric factor of the component.
static Scalar | criticalVolume ()
| Returns the critical volume in of the component.
static Scalar | tripleTemperature ()
| Returns the temperature in at the component's triple point.
static Scalar | triplePressure ()
| Returns the pressure in at the component's triple point.
static Evaluation | vaporPressure (const Evaluation &)
| The vapor pressure in of the component at a given temperature in .
static Evaluation | gasDensity (const Evaluation &, const Evaluation &)
| The density in of the component at a given pressure in and temperature in .
static Evaluation | liquidDensity (const Evaluation &, const Evaluation &)
| The density of the liquid component at a given pressure in and temperature in .
static Evaluation | gasEnthalpy (const Evaluation &, const Evaluation &)
| Specific enthalpy of the pure component in gas.
static Evaluation | liquidEnthalpy (const Evaluation &, const Evaluation &)
| Specific enthalpy of the pure component in liquid.
static Evaluation | gasInternalEnergy (const Evaluation &, const Evaluation &)
| Specific internal energy of the pure component in gas.
static Evaluation | liquidInternalEnergy (const Evaluation &, const Evaluation &)
| Specific internal energy of pure the pure component in liquid.
static Evaluation | gasViscosity (const Evaluation &, const Evaluation &)
| The dynamic viscosity of the pure component at a given pressure in and temperature in .
static Evaluation | liquidViscosity (const Evaluation &, const Evaluation &)
| The dynamic liquid viscosity of the pure component.
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 .

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 | ) |

inline static

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
| ) |  |

inline static

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
| ) |  |

inline static

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`
| ) |  |

inline static

The density of at a given pressure and temperature.

Parameters

  temperature | temperature of component in
  pressure | pressure of component in

## gasEnthalpy()

template<class Scalar >
template<class Evaluation >

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

inline static

Specific enthalpy of pure hydrogen gas.

Parameters

  temperature | temperature of component in
  pressure | pressure of component in

## gasHeatCapacity()

template<class Scalar >
template<class Evaluation >

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

inline static

Specific isobaric heat capacity of pure hydrogen gas.

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

Parameters

  temperature | temperature of component in
  pressure | pressure of component in

## gasIsochoricHeatCapacity()

template<class Scalar >
template<class Evaluation >

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

inline static

Specific isochoric heat capacity of pure hydrogen gas.

Parameters

  temperature | temperature of component in
  pressure | pressure of component in

## gasMolarDensity()

template<class Scalar >
template<class Evaluation >

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

inline static

The molar density of in , depending on pressure and temperature.

Parameters

  temperature | The temperature of the gas
  pressure | The pressure of the gas

## gasPressure()

template<class Scalar >
template<class Evaluation >

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

inline static

The pressure of gaseous in at a given density and temperature.

Parameters

  temperature | temperature of component in
  density | density of component in

## gasViscosity()

template<class Scalar >
template<class Evaluation >

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

inline static

The dynamic viscosity of at a given pressure and temperature.

Parameters

  temperature | temperature of component in
  pressure | pressure of component in

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
| ) |  |

inline static

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`
| ) |  |

inline static

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]

## residualPartHelmholtz()

template<class Scalar >
template<class Evaluation >

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

inline static

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 | ) |

inline static

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
| ) |  |

inline static

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
| ) |  |

inline static

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
| ) |  |

inline static

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 | ) |

inline static

The vapor pressure in of pure molecular hydrogen at a given temperature.

Parameters

  temperature | temperature of component in

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

- opm/material/components/H2.hpp