A compositional two-phase fluid system with a liquid and a gaseous phase and \(H_2O\), \(Air\) and \(S\) (dissolved minerals) as components. More...

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

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

Description

template<class Scalar, class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>
class Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >

A compositional two-phase fluid system with a liquid and a gaseous phase and \(H_2O\), \(Air\) and \(S\) (dissolved minerals) as components.

Note: This fluidsystem is applied by default with the tabulated version of water of the IAPWS-formulation.

Public Types
using	H2O = H2Otype
	export the involved components More...

using	Air = Components::Air< Scalar >

using	NaCl = Components::NaCl< Scalar >

using	Brine = Dumux::FluidSystems::Brine< Scalar, H2Otype >
	export the underlying brine fluid system for the liquid phase More...

using	H2O_Air = BinaryCoeff::H2O_Air
	export the binary coefficients between air and water More...

using	ParameterCache = NullParameterCache
	the type of parameter cache objects More...

Static Public Member Functions
static std::string	phaseName (int phaseIdx)
	Return the human readable name of a fluid phase. More...

static constexpr bool	isMiscible ()
	Returns whether the fluids are miscible. More...

static constexpr bool	isGas (int phaseIdx)
	Return whether a phase is gaseous. More...

static bool	isIdealMixture (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be an ideal mixture. More...

static constexpr bool	isCompressible (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be compressible. More...

static bool	isIdealGas (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to be an ideal gas. More...

static constexpr int	getMainComponent (int phaseIdx)
	Get the main component of a given phase if possible. More...

static std::string	componentName (int compIdx)
	Return the human readable name of a component. More...

static Scalar	molarMass (int compIdx)
	Return the molar mass of a component in \(\mathrm{[kg/mol]}\). More...

template<class FluidState >
static Scalar	vaporPressure (const FluidState &fluidState, int compIdx)
	Vapor pressure of a component \(\mathrm{[Pa]}\). More...

static void	init ()
	Initialize the fluid system's static parameters generically. More...

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. More...

template<class FluidState >
static Scalar	density (const FluidState &fluidState, int phaseIdx)
	Given a phase's composition, temperature, pressure, and the partial pressures of all components, return its density \(\mathrm{[kg/m^3]}\). More...

template<class FluidState >
static Scalar	molarDensity (const FluidState &fluidState, int phaseIdx)
	The molar density \(\rho_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\). More...

template<class FluidState >
static Scalar	viscosity (const FluidState &fluidState, int phaseIdx)
	Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More...

template<class FluidState >
static Scalar	fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
	Returns the fugacity coefficient \(\mathrm{[-]}\) of a component in a phase. More...

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 \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More...

template<class FluidState >
static Scalar	enthalpy (const FluidState &fluidState, int phaseIdx)
	Given a phase's composition, temperature and pressure, return its specific enthalpy \(\mathrm{[J/kg]}\). More...

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. More...

template<class FluidState >
static Scalar	thermalConductivity (const FluidState &fluidState, int phaseIdx)
	Thermal conductivity of a fluid phase \(\mathrm{[W/(m K)]}\). More...

template<class FluidState >
static Scalar	heatCapacity (const FluidState &fluidState, int phaseIdx)

template<class FluidState >
static Scalar	density (const FluidState &fluidState, int phaseIdx)
	Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More...

template<class FluidState >
static Scalar	density (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More...

template<class FluidState >
static Scalar	molarDensity (const FluidState &fluidState, int phaseIdx)
	Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More...

template<class FluidState >
static Scalar	molarDensity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More...

template<class FluidState >
static Scalar	viscosity (const FluidState &fluidState, int phaseIdx)
	Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More...

template<class FluidState >
static Scalar	viscosity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More...

template<class FluidState >
static Scalar	fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
	Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase. More...

template<class FluidState >
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. More...

template<class FluidState >
static Scalar	diffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
	Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\). More...

template<class FluidState >
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 \(\mathrm{[mol^2 * s / (kg*m^3)]}\). More...

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 \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More...

template<class FluidState >
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. More...

template<class FluidState >
static Scalar	enthalpy (const FluidState &fluidState, int phaseIdx)
	Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More...

template<class FluidState >
static Scalar	enthalpy (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More...

template<class FluidState >
static Scalar	thermalConductivity (const FluidState &fluidState, int phaseIdx)
	Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More...

template<class FluidState >
static Scalar	thermalConductivity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More...

template<class FluidState >
static Scalar	heatCapacity (const FluidState &fluidState, int phaseIdx)
	Specific isobaric heat capacity of a fluid phase. \(\mathrm{[J/(kg*K)}\). More...

template<class FluidState >
static Scalar	heatCapacity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
	Specific isobaric heat capacity of a fluid phase. \(\mathrm{[J/(kg*K)}\). More...

Static Public Attributes
static constexpr int	numPhases = 2

static constexpr int	numComponents = 3

static constexpr int	liquidPhaseIdx = 0

static constexpr int	gasPhaseIdx = 1

static constexpr int	phase0Idx = liquidPhaseIdx

static constexpr int	phase1Idx = gasPhaseIdx

static constexpr int	H2OIdx = 0

static constexpr int	AirIdx = 1

static constexpr int	NaClIdx = 2

static constexpr int	comp0Idx = H2OIdx

static constexpr int	comp1Idx = AirIdx

static constexpr int	comp2Idx = NaClIdx

Member Typedef Documentation

◆ Air

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

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

◆ Brine

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

using Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::Brine = Dumux::FluidSystems::Brine<Scalar, H2Otype>

export the underlying brine fluid system for the liquid phase

◆ H2O

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

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

export the involved components

◆ H2O_Air

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

using Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::H2O_Air = BinaryCoeff::H2O_Air

export the binary coefficients between air and water

◆ NaCl

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

using Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::NaCl = Components::NaCl<Scalar>

◆ ParameterCache

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

using Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::ParameterCache = NullParameterCache

the type of parameter cache objects

Member Function Documentation

◆ binaryDiffusionCoefficient() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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 \(\mathrm{i}\) and \(\mathrm{j}\) in this phase.

Parameters

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

◆ binaryDiffusionCoefficient() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 \(\mathrm{i}\) and \(\mathrm{j}\) 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 = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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	The fluid state
phaseIdx	The index of the phase
componentIdx	The index of the component

◆ componentName()

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

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

inlinestatic

Return the human readable name of a component.

Parameters

compIdx The index of the component to consider

◆ density() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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

◆ density() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::density	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the fluid phase

◆ density() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

fluidState	the fluid state
phaseIdx	index of the phase

Equation given in:

Batzle & Wang (1992) [8]
cited by: Bachu & Adams (2002) "Equations of State for basin geofluids" [3]

◆ diffusionCoefficient() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::diffusionCoefficient	(	const FluidState &	fluidState,
		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
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() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

◆ enthalpy() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::enthalpy	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the fluid phase

◆ enthalpy() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	The index of the phase

See: Class 2000 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 gas phase result from the sum of (enthalpies*mass fraction) of the components For the calculation of enthalpy of brine we refer to (Michaelides 1981)

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

◆ fugacityCoefficient() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::fugacityCoefficient	(	const FluidState &	fluidState,
		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
phaseIdx	Index of the fluid phase
compIdx	Index of the component

◆ fugacityCoefficient() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the phase
compIdx	Index of the component

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

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

where \(\mathrm{p_\alpha}\) 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 Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

static constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::getMainComponent ( int phaseIdx )

inlinestaticconstexpr

Get the main component of a given phase if possible.

Parameters

phaseIdx The index of the fluid phase to consider

◆ heatCapacity() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

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

Todo:: TODO: The calculation of the isobaric heat capacity is preliminary. A better description of the influence of the composition on the air phase property has to be found.

◆ heatCapacity() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::heatCapacity	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

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

Todo:: TODO: The calculation of the isobaric heat capacity is preliminary. A better description of the influence of the composition on the air phase property has to be found.

◆ heatCapacity() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

◆ init() [1/2]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

static void Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 = BrineAirDefaultPolicy<>>

static void Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 = BrineAirDefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 = BrineAirDefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 = BrineAirDefaultPolicy<>>

static bool Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::isIdealGas ( int phaseIdx )

inlinestatic

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 = BrineAirDefaultPolicy<>>

static bool Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::isIdealMixture ( int phaseIdx )

inlinestatic

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 = BrineAirDefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::isMiscible ( )

inlinestaticconstexpr

Returns whether the fluids are miscible.

◆ molarDensity() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::molarDensity	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the fluid phase

◆ molarDensity() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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 complex relation is defined by the mass density \(\rho_\alpha\) and the mean molar mass \(\overline M_\alpha\):

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

◆ molarMass()

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

static Scalar Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::molarMass ( int compIdx )

inlinestatic

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

Parameters

compIdx The index of the component to consider

◆ phaseName()

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

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

inlinestatic

Return the human readable name of a fluid phase.

Parameters

phaseIdx index of the phase

◆ thermalConductivity() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::thermalConductivity	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the fluid phase

◆ thermalConductivity() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

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

Todo:: TODO: For the thermal conductivity of the air phase the contribution of the minor components is neglected. This contribution is probably not big, but somebody would have to find out its influence.

◆ vaporPressure()

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::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() [1/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::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() [2/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::Base< ScalarType, Implementation >::viscosity	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Parameters

fluidState	The fluid state
phaseIdx	Index of the fluid phase

◆ viscosity() [3/3]

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

template<class FluidState >

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

inlinestatic

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

Parameters

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

Note: For the viscosity of the phases the contribution of the minor component is neglected. This contribution is probably not big, but somebody would have to find out its influence.

Member Data Documentation

◆ AirIdx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::AirIdx = 1

staticconstexpr

◆ comp0Idx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::comp0Idx = H2OIdx

staticconstexpr

◆ comp1Idx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::comp1Idx = AirIdx

staticconstexpr

◆ comp2Idx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::comp2Idx = NaClIdx

staticconstexpr

◆ gasPhaseIdx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::gasPhaseIdx = 1

staticconstexpr

◆ H2OIdx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::H2OIdx = 0

staticconstexpr

◆ liquidPhaseIdx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::liquidPhaseIdx = 0

staticconstexpr

◆ NaClIdx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::NaClIdx = 2

staticconstexpr

◆ numComponents

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::numComponents = 3

staticconstexpr

◆ numPhases

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::numPhases = 2

staticconstexpr

◆ phase0Idx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::phase0Idx = liquidPhaseIdx

staticconstexpr

◆ phase1Idx

template<class Scalar , class H2Otype = Components::TabulatedComponent<Components::H2O<Scalar>>, class Policy = BrineAirDefaultPolicy<>>

constexpr int Dumux::FluidSystems::BrineAir< Scalar, H2Otype, Policy >::phase1Idx = gasPhaseIdx

staticconstexpr

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

brineair.hh

Description

Public Types

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Air

◆ Brine

◆ H2O

◆ H2O_Air

◆ NaCl

◆ ParameterCache

Member Function Documentation

◆ binaryDiffusionCoefficient() [1/3]

◆ binaryDiffusionCoefficient() [2/3]

◆ binaryDiffusionCoefficient() [3/3]

◆ componentEnthalpy()

◆ componentName()

◆ density() [1/3]

◆ density() [2/3]

◆ density() [3/3]

◆ diffusionCoefficient() [1/3]

◆ diffusionCoefficient() [2/3]

◆ diffusionCoefficient() [3/3]

◆ enthalpy() [1/3]

◆ enthalpy() [2/3]

◆ enthalpy() [3/3]

◆ fugacityCoefficient() [1/3]

◆ fugacityCoefficient() [2/3]

◆ fugacityCoefficient() [3/3]

◆ getMainComponent()

◆ heatCapacity() [1/3]

◆ heatCapacity() [2/3]

◆ heatCapacity() [3/3]

◆ init() [1/2]

◆ init() [2/2]

◆ isCompressible()

◆ isGas()

◆ isIdealGas()

◆ isIdealMixture()

◆ isMiscible()

◆ molarDensity() [1/3]

◆ molarDensity() [2/3]

◆ molarDensity() [3/3]

◆ molarMass()

◆ phaseName()

◆ thermalConductivity() [1/3]

◆ thermalConductivity() [2/3]

◆ thermalConductivity() [3/3]

◆ vaporPressure()

◆ viscosity() [1/3]

◆ viscosity() [2/3]

◆ viscosity() [3/3]

Member Data Documentation

◆ AirIdx

◆ comp0Idx

◆ comp1Idx

◆ comp2Idx

◆ gasPhaseIdx

◆ H2OIdx

◆ liquidPhaseIdx

◆ NaClIdx

◆ numComponents

◆ numPhases

◆ phase0Idx

◆ phase1Idx