A compositional two-phase fluid system with water and air as components in both, the liquid and the gas phase. More...

#include <dumux/material/fluidsystems/h2oair.hh>

Inheritance diagram for Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >:

Description

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>
class Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >

A compositional two-phase fluid system with water and air as components in both, the liquid and the gas phase.

This fluidsystem features gas and liquid phases of distilled water \((\mathrm{H_2O})\)) and air (Pseudo component composed of \(\mathrm{79\%\;N_2}\), \(\mathrm{20\%\;O_2}\) and \(\mathrm{1\%\;Ar}\)) as components. It is applied by default with the tabulated version of water of the IAPWS-formulation.

Public Types
using	H2O = H2Otype
using	Air = Dumux::Components::Air<Scalar>
using	Scalar = ScalarType
	export the scalar type
using	ParameterCache = NullParameterCache
	The type of parameter cache objects.

Static Public Member Functions
static std::string	phaseName (int phaseIdx)
	Return the human readable name of a phase.
static constexpr bool	isMiscible ()
	Returns whether the fluids are miscible.
static constexpr bool	isGas (int phaseIdx)
	Return whether a phase is gaseous.
static constexpr bool	isIdealMixture (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be an ideal mixture.
static constexpr bool	isCompressible (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be compressible.
static constexpr bool	isIdealGas (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be an ideal gas.
static std::string	componentName (int compIdx)
	Return the human readable name of a component.
static Scalar	molarMass (int compIdx)
	Return the molar mass of a component \(\mathrm{[kg/mol]}\).
static Scalar	criticalTemperature (int compIdx)
	Critical temperature of a component \(\mathrm{[K]}\).
static Scalar	criticalPressure (int compIdx)
	Critical pressure of a component \(\mathrm{[Pa]}\).
template<class FluidState>
static Scalar	vaporPressure (const FluidState &fluidState, int compIdx)
	Vapor pressure of a component \(\mathrm{[Pa]}\).
static Scalar	criticalMolarVolume (int compIdx)
	Molar volume of a component at the critical point \(\mathrm{[m^3/mol]}\).
static Scalar	acentricFactor (int compIdx)
	The acentric factor of a component \(\mathrm{[-]}\).
static void	init ()
	Initialize the fluid system's static parameters generically.
static void	init (Scalar tempMin, Scalar tempMax, unsigned nTemp, Scalar pressMin, Scalar pressMax, unsigned nPress)
	Initialize the fluid system's static parameters using problem specific temperature and pressure ranges.
template<class FluidState>
static Scalar	density (const FluidState &fluidState, const int phaseIdx)
	Given a phase's composition, temperature, pressure, and the partial pressures of all components, return its density \(\mathrm{[kg/m^3]}\).
template<class FluidState>
static Scalar	molarDensity (const FluidState &fluidState, int phaseIdx)
	The molar density \(\rho_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\).
template<class FluidState>
static Scalar	viscosity (const FluidState &fluidState, int phaseIdx)
	Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).
template<class FluidState>
static Scalar	fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
	Returns the fugacity coefficient \(\mathrm{[-]}\) of a component in a phase.
template<class FluidState>
static Scalar	relativeHumidity (const FluidState &fluidState)
	Returns the relative humidity of the gas phase.
template<class FluidState>
static Scalar	diffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
template<class FluidState>
static Scalar	binaryDiffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIIdx, int compJIdx)
	Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(i\) and \(j\) in this phase.
template<class FluidState>
static Scalar	enthalpy (const FluidState &fluidState, int phaseIdx)
	Given a phase's composition, temperature and pressure, return its specific enthalpy \(\mathrm{[J/kg]}\).
template<class FluidState>
static Scalar	componentEnthalpy (const FluidState &fluidState, int phaseIdx, int componentIdx)
	Returns the specific enthalpy \(\mathrm{[J/kg]}\) of a component in a specific phase.
template<class FluidState>
static Scalar	thermalConductivity (const FluidState &fluidState, int phaseIdx)
	Thermal conductivity of a fluid phase \(\mathrm{[W/(m K)]}\).
template<class FluidState>
static Scalar	heatCapacity (const FluidState &fluidState, int phaseIdx)
	Specific isobaric heat capacity of a fluid phase. \(\mathrm{[J/(kg*K)}\).
static Scalar	density (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase.
static Scalar	molarDensity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase.
static Scalar	viscosity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).
static Scalar	fugacityCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIdx)
	Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase.
static Scalar	diffusionCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIdx)
	Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\).
static Scalar	binaryDiffusionCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIIdx, int compJIdx)
	Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase.
static Scalar	enthalpy (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\).
static Scalar	thermalConductivity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\).
static Scalar	heatCapacity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\).
static constexpr bool	isTracerFluidSystem ()
	Some properties of the fluid system.
template<class I = Implementation, std::enable_if_t<!I::isTracerFluidSystem(), int > = 0>
static constexpr int	getMainComponent (int phaseIdx)
	Get the main component of a given phase if possible.
static constexpr bool	viscosityIsConstant (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to have a constant viscosity.

Static Public Attributes
static constexpr int	numPhases = 2
	Number of phases in the fluid system.
static constexpr int	numComponents = 2
	Number of components in the fluid system.
static constexpr int	liquidPhaseIdx = 0
	index of the liquid phase
static constexpr int	gasPhaseIdx = 1
	index of the gas phase
static constexpr int	phase0Idx = liquidPhaseIdx
	index of the first phase
static constexpr int	phase1Idx = gasPhaseIdx
	index of the second phase
static constexpr int	H2OIdx = 0
	index of the frist component
static constexpr int	AirIdx = 1
	index of the second component
static constexpr int	comp0Idx = H2OIdx
	index of the frist component
static constexpr int	comp1Idx = AirIdx
	index of the second component
static constexpr int	liquidCompIdx = H2OIdx
	index of the liquid component
static constexpr int	gasCompIdx = AirIdx
	index of the gas component

Member Typedef Documentation

◆ Air

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

using Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::Air = Dumux::Components::Air<Scalar>

◆ H2O

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

using Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::H2O = H2Otype

◆ ParameterCache

template<class ScalarType, class Implementation>

using Dumux::FluidSystems::Base< ScalarType, Implementation >::ParameterCache = NullParameterCache

inherited

The type of parameter cache objects.

◆ Scalar

template<class ScalarType, class Implementation>

using Dumux::FluidSystems::Base< ScalarType, Implementation >::Scalar = ScalarType

inherited

export the scalar type

Member Function Documentation

◆ acentricFactor()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::acentricFactor ( int compIdx )

inlinestatic

The acentric factor of a component \(\mathrm{[-]}\).

Parameters

compIdx The index of the component to consider

◆ binaryDiffusionCoefficient() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::binaryDiffusionCoefficient	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx,
		int	compIIdx,
		int	compJIdx )

inlinestatic

Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase.

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase
compIIdx	Index of the component i
compJIdx	Index of the component j

◆ binaryDiffusionCoefficient() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::binaryDiffusionCoefficient	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	compIIdx,
		int	compJIdx )

inlinestatic

Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(i\) and \(j\) in this phase.

Parameters

fluidState	An arbitrary fluid state
phaseIdx	The index of the fluid phase to consider
compIIdx	The index of the first component to consider
compJIdx	The index of the second component to consider

◆ componentEnthalpy()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::componentEnthalpy	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	componentIdx )

inlinestatic

Returns the specific enthalpy \(\mathrm{[J/kg]}\) of a component in a specific phase.

Parameters

fluidState	An arbitrary fluid state
phaseIdx	The index of the fluid phase to consider
componentIdx	The index of the component to consider

◆ componentName()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

std::string Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::componentName ( int compIdx )

inlinestatic

Return the human readable name of a component.

Parameters

compIdx index of the component

◆ criticalMolarVolume()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::criticalMolarVolume ( int compIdx )

inlinestatic

Molar volume of a component at the critical point \(\mathrm{[m^3/mol]}\).

Parameters

compIdx The index of the component to consider

◆ criticalPressure()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::criticalPressure ( int compIdx )

inlinestatic

Critical pressure of a component \(\mathrm{[Pa]}\).

Parameters

compIdx The index of the component to consider

◆ criticalTemperature()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::criticalTemperature ( int compIdx )

inlinestatic

Critical temperature of a component \(\mathrm{[K]}\).

Parameters

compIdx The index of the component to consider

◆ density() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::density	(	const FluidState &	fluidState,
		const int	phaseIdx )

inlinestatic

Given a phase's composition, temperature, pressure, and the partial pressures of all components, return its density \(\mathrm{[kg/m^3]}\).

If Policy::useH2ODensityAsLiquidMixtureDensity() == false, we apply Eq. (7) in Class et al. (2002a) [13]
for the liquid density.

Parameters

phaseIdx	index of the phase
fluidState	the fluid state

◆ density() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::density	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase.

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

◆ diffusionCoefficient() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::diffusionCoefficient	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx,
		int	compIdx )

inlinestatic

Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\).

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase
compIdx	Index of the component Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law

\[ J = - D \mathbf{grad} \mu_\kappa \]

where \(\mathrm{\mu_\kappa}\) is the component's chemical potential, \(\mathrm{D}\) is the diffusion coefficient and \(\mathrm{J}\) is the diffusive flux. \(\mathrm{\mu_\kappa}\) is connected to the component's fugacity \(\mathrm{f_\kappa}\) by the relation

\[ \mu_\kappa = R T_\alpha \mathrm{ln} \frac{f_\kappa}{p_\alpha} \]

where \(\mathrm{p_\alpha}\) and \(\mathrm{T_\alpha}\) are the fluid phase' pressure and temperature.

◆ diffusionCoefficient() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::diffusionCoefficient	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	compIdx )

inlinestatic

◆ enthalpy() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::enthalpy	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\).

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

◆ enthalpy() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::enthalpy	(	const FluidState &	fluidState,
		int	phaseIdx )

inlinestatic

Given a phase's composition, temperature and pressure, return its specific enthalpy \(\mathrm{[J/kg]}\).

Parameters

fluidState	An arbitrary fluid state
phaseIdx	The index of the fluid phase to consider

See: Class 2001: Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten porösen Medien Chapter 2.1.13 Innere Energie, Wäremekapazität, Enthalpie [14]

Formula (2.42): the specific enthalpy of a gasphase result from the sum of (enthalpies*mass fraction) of the components

Todo: This system neglects the contribution of gas-molecules in the liquid phase. This contribution is probably not big. Somebody would have to find out the enthalpy of solution for this system. ...

◆ fugacityCoefficient() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::fugacityCoefficient	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx,
		int	compIdx )

inlinestatic

Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase.

The fugacity coefficient \(\mathrm{\phi^\kappa_\alpha}\) is connected to the fugacity \(\mathrm{f^\kappa_\alpha}\) and the component's mole fraction \(\mathrm{x^\kappa_\alpha}\) by means of the relation

\[f^\kappa_\alpha = \phi^\kappa_\alpha\;x^\kappa_\alpha\;p_\alpha \]

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase
compIdx	Index of the component

◆ fugacityCoefficient() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::fugacityCoefficient	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	compIdx )

inlinestatic

Returns the fugacity coefficient \(\mathrm{[-]}\) of a component in a phase.

The fugacity coefficient \(\phi^\kappa_\alpha\) of component \(\kappa\) in phase \(\alpha\) is connected to the fugacity \(f^\kappa_\alpha\) and the component's mole fraction \(x^\kappa_\alpha\) by means of the relation

\[f^\kappa_\alpha = \phi^\kappa_\alpha\;x^\kappa_\alpha\;p_\alpha \]

where \(p_\alpha\) is the pressure of the fluid phase.

For liquids with very low miscibility this boils down to the Henry constant for the solutes and the saturated vapor pressure both divided by phase pressure.

◆ getMainComponent()

template<class ScalarType, class Implementation>

template<class I = Implementation, std::enable_if_t<!I::isTracerFluidSystem(), int > = 0>

constexpr int Dumux::FluidSystems::Base< ScalarType, Implementation >::getMainComponent ( int phaseIdx )

inlinestaticconstexprinherited

Get the main component of a given phase if possible.

Parameters

phaseIdx The index of the fluid phase to consider

Todo: Unfortunately we currently still have the assumption in some volume variables (e.g. 1pnc, 2pnc) that the main component index of a phase is equal to the phase index of that phase. This means changing this only works if the volume variables are written accordingly.

Note: This only makes sense if this is not a tracer fluid system (then the bulk component is not balanced)

◆ heatCapacity() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::heatCapacity	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\).

Parameters

fluidState	represents all relevant thermodynamic quantities of a fluid system
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

Given a fluid state, an up-to-date parameter cache and a phase index, this method computes the isobaric heat capacity \(c_{p,\alpha}\) of the fluid phase. The isobaric heat capacity is defined as the partial derivative of the specific enthalpy \(h_\alpha\) to the fluid pressure \(p_\alpha\):

\( c_{p,\alpha} = \frac{\partial h_\alpha}{\partial p_\alpha} \)

◆ heatCapacity() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::heatCapacity	(	const FluidState &	fluidState,
		int	phaseIdx )

inlinestatic

Specific isobaric heat capacity of a fluid phase. \(\mathrm{[J/(kg*K)}\).

Todo: Check whether the gas phase enthalpy is a linear mixture of the component enthalpies and the mole fractions is a good assumption.

Parameters

fluidState	An arbitrary fluid state
phaseIdx	for which phase to give back the heat capacity

◆ init() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

void Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::init ( )

inlinestatic

Initialize the fluid system's static parameters generically.

If a tabulated H2O component is used, we do our best to create tables that always work.

◆ init() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

void Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::init	(	Scalar	tempMin,
		Scalar	tempMax,
		unsigned	nTemp,
		Scalar	pressMin,
		Scalar	pressMax,
		unsigned	nPress )

inlinestatic

Initialize the fluid system's static parameters using problem specific temperature and pressure ranges.

Parameters

tempMin	The minimum temperature used for tabulation of water \(\mathrm{[K]}\)
tempMax	The maximum temperature used for tabulation of water \(\mathrm{[K]}\)
nTemp	The number of ticks on the temperature axis of the table of water
pressMin	The minimum pressure used for tabulation of water \(\mathrm{[Pa]}\)
pressMax	The maximum pressure used for tabulation of water \(\mathrm{[Pa]}\)
nPress	The number of ticks on the pressure axis of the table of water

◆ isCompressible()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

constexpr bool Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::isCompressible ( int phaseIdx )

inlinestaticconstexpr

Returns true if and only if a fluid phase is assumed to be compressible.

Compressible means that the partial derivative of the density to the fluid pressure is always larger than zero.

Parameters

phaseIdx The index of the fluid phase to consider

◆ isGas()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

constexpr bool Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::isGas ( int phaseIdx )

inlinestaticconstexpr

Return whether a phase is gaseous.

Parameters

phaseIdx The index of the fluid phase to consider

◆ isIdealGas()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

constexpr bool Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::isIdealGas ( int phaseIdx )

inlinestaticconstexpr

Returns true if and only if a fluid phase is assumed to be an ideal gas.

Parameters

phaseIdx The index of the fluid phase to consider

◆ isIdealMixture()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

constexpr bool Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::isIdealMixture ( int phaseIdx )

inlinestaticconstexpr

Returns true if and only if a fluid phase is assumed to be an ideal mixture.

We define an ideal mixture as a fluid phase where the fugacity coefficients of all components times the pressure of the phase are independent on the fluid composition. This assumption is true if Henry's law and Raoult's law apply. If you are unsure what this function should return, it is safe to return false. The only damage done will be (slightly) increased computation times in some cases.

Parameters

phaseIdx The index of the fluid phase to consider

◆ isMiscible()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

constexpr bool Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::isMiscible ( )

inlinestaticconstexpr

Returns whether the fluids are miscible.

◆ isTracerFluidSystem()

template<class ScalarType, class Implementation>

constexpr bool Dumux::FluidSystems::Base< ScalarType, Implementation >::isTracerFluidSystem ( )

inlinestaticconstexprinherited

Some properties of the fluid system.

If the fluid system only contains tracer components

◆ molarDensity() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::molarDensity	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase.

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

◆ molarDensity() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::molarDensity	(	const FluidState &	fluidState,
		int	phaseIdx )

inlinestatic

The molar density \(\rho_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\).

The molar density for the simple relation is defined by the mass density \(\rho_\alpha\) and the molar mass of the main component \(M_\kappa\):

\[\rho_{mol,\alpha} = \frac{\rho_\alpha}{M_\kappa} \;.\]

◆ molarMass()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::molarMass ( int compIdx )

inlinestatic

Return the molar mass of a component \(\mathrm{[kg/mol]}\).

Parameters

compIdx index of the component

◆ phaseName()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

std::string Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::phaseName ( int phaseIdx )

inlinestatic

Return the human readable name of a phase.

Parameters

phaseIdx index of the phase

◆ relativeHumidity()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::relativeHumidity ( const FluidState & fluidState )

inlinestatic

Returns the relative humidity of the gas phase.

The relative humidity is the ratio of the partial pressure of water vapor to the equilibrium vapor pressure of water at a given temperature.

◆ thermalConductivity() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::thermalConductivity	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\).

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

◆ thermalConductivity() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::thermalConductivity	(	const FluidState &	fluidState,
		int	phaseIdx )

inlinestatic

Thermal conductivity of a fluid phase \(\mathrm{[W/(m K)]}\).

Parameters

fluidState	An arbitrary fluid state
phaseIdx	The index of the fluid phase to consider

Use the conductivity of air and water as a first approximation. Source: http://en.wikipedia.org/wiki/List_of_thermal_conductivities

◆ vaporPressure()

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::vaporPressure	(	const FluidState &	fluidState,
		int	compIdx )

inlinestatic

Vapor pressure of a component \(\mathrm{[Pa]}\).

Parameters

fluidState	The fluid state
compIdx	The index of the component to consider

◆ viscosity() [1/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

Scalar Dumux::FluidSystems::Base< Scalar, ThisType >::viscosity	(	const FluidState &	fluidState,
		const ParameterCache &	paramCache,
		int	phaseIdx )

inlinestatic

Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).

Parameters

fluidState	The fluid state
paramCache	mutable parameters
phaseIdx	Index of the fluid phase

◆ viscosity() [2/2]

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

template<class FluidState>

Scalar Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::viscosity	(	const FluidState &	fluidState,
		int	phaseIdx )

inlinestatic

Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).

Compositional effects in the gas phase are accounted by the Wilke method. See Reid et al. (1987) [53]
4th edition, McGraw-Hill, 1987, 407-410 5th edition, McGraw-Hill, 2001, p. 9.21/22

Note: Compositional effects for a liquid mixture have to be implemented.

Parameters

fluidState	An arbitrary fluid state
phaseIdx	The index of the fluid phase to consider

◆ viscosityIsConstant()

template<class ScalarType, class Implementation>

constexpr bool Dumux::FluidSystems::Base< ScalarType, Implementation >::viscosityIsConstant ( int phaseIdx )

inlinestaticconstexprinherited

Returns true if and only if a fluid phase is assumed to have a constant viscosity.

Parameters

phaseIdx The index of the fluid phase to consider

Member Data Documentation

◆ AirIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::AirIdx = 1

staticconstexpr

index of the second component

◆ comp0Idx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::comp0Idx = H2OIdx

staticconstexpr

index of the frist component

◆ comp1Idx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::comp1Idx = AirIdx

staticconstexpr

index of the second component

◆ gasCompIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::gasCompIdx = AirIdx

staticconstexpr

index of the gas component

◆ gasPhaseIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::gasPhaseIdx = 1

staticconstexpr

index of the gas phase

◆ H2OIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::H2OIdx = 0

staticconstexpr

index of the frist component

◆ liquidCompIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::liquidCompIdx = H2OIdx

staticconstexpr

index of the liquid component

◆ liquidPhaseIdx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::liquidPhaseIdx = 0

staticconstexpr

index of the liquid phase

◆ numComponents

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::numComponents = 2

staticconstexpr

Number of components in the fluid system.

◆ numPhases

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::numPhases = 2

staticconstexpr

Number of phases in the fluid system.

◆ phase0Idx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::phase0Idx = liquidPhaseIdx

staticconstexpr

index of the first phase

◆ phase1Idx

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar> >, class Policy = H2OAirDefaultPolicy<>, bool useKelvinVaporPressure = false>

int Dumux::FluidSystems::H2OAir< Scalar, H2Otype, Policy, useKelvinVaporPressure >::phase1Idx = gasPhaseIdx

staticconstexpr

index of the second phase

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

h2oair.hh

Description

Public Types

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Air

◆ H2O

◆ ParameterCache

◆ Scalar

Member Function Documentation

◆ acentricFactor()

◆ binaryDiffusionCoefficient() [1/2]

◆ binaryDiffusionCoefficient() [2/2]

◆ componentEnthalpy()

◆ componentName()

◆ criticalMolarVolume()

◆ criticalPressure()

◆ criticalTemperature()

◆ density() [1/2]

◆ density() [2/2]

◆ diffusionCoefficient() [1/2]

◆ diffusionCoefficient() [2/2]

◆ enthalpy() [1/2]

◆ enthalpy() [2/2]

◆ fugacityCoefficient() [1/2]

◆ fugacityCoefficient() [2/2]

◆ getMainComponent()

◆ heatCapacity() [1/2]

◆ heatCapacity() [2/2]

◆ init() [1/2]

◆ init() [2/2]

◆ isCompressible()

◆ isGas()

◆ isIdealGas()

◆ isIdealMixture()

◆ isMiscible()

◆ isTracerFluidSystem()

◆ molarDensity() [1/2]

◆ molarDensity() [2/2]

◆ molarMass()

◆ phaseName()

◆ relativeHumidity()

◆ thermalConductivity() [1/2]

◆ thermalConductivity() [2/2]

◆ vaporPressure()

◆ viscosity() [1/2]

◆ viscosity() [2/2]

◆ viscosityIsConstant()

Member Data Documentation

◆ AirIdx

◆ comp0Idx

◆ comp1Idx

◆ gasCompIdx

◆ gasPhaseIdx

◆ H2OIdx

◆ liquidCompIdx

◆ liquidPhaseIdx

◆ numComponents

◆ numPhases

◆ phase0Idx

◆ phase1Idx