Represents all relevant thermodynamic quantities of a multi-phase fluid system assuming immiscibility and thermodynamic equilibrium. More...

#include <dumux/material/fluidstates/isothermalimmiscible.hh>

Description

template<class ScalarType, class FluidSystem>
class Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >

Represents all relevant thermodynamic quantities of a multi-phase fluid system assuming immiscibility and thermodynamic equilibrium.

Public Types
using	Scalar = ScalarType
	export the scalar type More...

Public Member Functions
	IsothermalImmiscibleFluidState ()=default
	default constructor More...

template<class FluidState , typename std::enable_if_t<!std::is_same< FluidState, IsothermalImmiscibleFluidState >::value, int > = 0>
	IsothermalImmiscibleFluidState (const FluidState &fs)
	copy constructor from arbitrary fluid state More...

	IsothermalImmiscibleFluidState (const IsothermalImmiscibleFluidState &fs)=default

	IsothermalImmiscibleFluidState (IsothermalImmiscibleFluidState &&fs)=default

IsothermalImmiscibleFluidState &	operator= (const IsothermalImmiscibleFluidState &fs)=default

IsothermalImmiscibleFluidState &	operator= (IsothermalImmiscibleFluidState &&fs)=default

int	wettingPhase () const
	Returns the index of the most wetting phase in the fluid-solid configuration (for porous medium systems). More...

Scalar	saturation (int phaseIdx) const
	Returns the saturation \(S_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[-]}\). More...

Scalar	moleFraction (int phaseIdx, int compIdx) const
	Returns the molar fraction \(x^\kappa_\alpha\) of the component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\). More...

Scalar	massFraction (int phaseIdx, int compIdx) const
	Returns the mass fraction \(X^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\). More...

Scalar	averageMolarMass (int phaseIdx) const
	The average molar mass \(\overline M_\alpha\) of phase \(\alpha\) in \(\mathrm{[kg/mol]}\). More...

Scalar	molarity (int phaseIdx, int compIdx) const
	The molar concentration \(c^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\). More...

Scalar	fugacity (int phaseIdx, int compIdx) const
	The fugacity \(f^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[Pa]}\). More...

Scalar	fugacityCoefficient (int phaseIdx, int compIdx) const
	The fugacity coefficient \(\Phi^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\). More...

Scalar	molarVolume (int phaseIdx) const
	The molar volume \(v_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[m^3/mol]}\). More...

Scalar	density (int phaseIdx) const
	The mass density \(\rho_\alpha\) of the fluid phase \(\alpha\) in \(\mathrm{[kg/m^3]}\). More...

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

Scalar	temperature (int phaseIdx) const
	The temperature of a fluid phase \(\mathrm{[K]}\). More...

Scalar	temperature () const
	The temperature within the domain \(\mathrm{[K]}\). More...

Scalar	pressure (int phaseIdx) const
	The pressure \(p_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[Pa]}\). More...

Scalar	enthalpy (int phaseIdx) const
	The specific enthalpy \(h_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[J/kg]}\) This is not defined for an isothermal fluidstate. More...

Scalar	internalEnergy (int phaseIdx) const
	The specific internal energy \(u_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[J/kg]}\). More...

Scalar	viscosity (int phaseIdx) const
	The dynamic viscosity \(\mu_\alpha\) of fluid phase \(\alpha\) in \(\mathrm{[Pa s]}\). More...

template<class FluidState >
void	assign (const FluidState &fs)
	Retrieve all parameters from an arbitrary fluid state. More...

void	setTemperature (Scalar value)
	Set the temperature \(\mathrm{[K]]}\) of a fluid phase. More...

void	setPressure (int phaseIdx, Scalar value)
	Set the fluid pressure of a phase \(\mathrm{[Pa]}\). More...

void	setSaturation (int phaseIdx, Scalar value)
	Set the saturation of a phase \(\mathrm{[-]}\). More...

void	setDensity (int phaseIdx, Scalar value)
	Set the density of a phase \(\mathrm{[kg/m^3]}\). More...

void	setMolarDensity (int phaseIdx, Scalar value)
	Set the molar density of a phase \(\mathrm{[kg/m^3]}\). More...

void	setViscosity (int phaseIdx, Scalar value)
	Set the dynamic viscosity of a phase \(\mathrm{[Pa s]}\). More...

void	setWettingPhase (int phaseIdx)
	Set the index of the most wetting phase. More...

Static Public Attributes
static constexpr int	numPhases = FluidSystem::numPhases

static constexpr int	numComponents = FluidSystem::numComponents

Protected Attributes
Scalar	pressure_ [numPhases] = {}

Scalar	saturation_ [numPhases] = {}

Scalar	density_ [numPhases] = {}

Scalar	molarDensity_ [numPhases] = {}

Scalar	viscosity_ [numPhases] = {}

Scalar	temperature_ = 0.0

int	wPhaseIdx_ {0}

Member Typedef Documentation

◆ Scalar

template<class ScalarType , class FluidSystem >

using Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::Scalar = ScalarType

export the scalar type

Constructor & Destructor Documentation

◆ IsothermalImmiscibleFluidState() [1/4]

template<class ScalarType , class FluidSystem >

Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::IsothermalImmiscibleFluidState ( )

default

default constructor

◆ IsothermalImmiscibleFluidState() [2/4]

template<class ScalarType , class FluidSystem >

template<class FluidState , typename std::enable_if_t<!std::is_same< FluidState, IsothermalImmiscibleFluidState >::value, int > = 0>

Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::IsothermalImmiscibleFluidState ( const FluidState & fs )

inline

copy constructor from arbitrary fluid state

◆ IsothermalImmiscibleFluidState() [3/4]

template<class ScalarType , class FluidSystem >

Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::IsothermalImmiscibleFluidState ( const IsothermalImmiscibleFluidState< ScalarType, FluidSystem > & fs )

default

◆ IsothermalImmiscibleFluidState() [4/4]

template<class ScalarType , class FluidSystem >

Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::IsothermalImmiscibleFluidState ( IsothermalImmiscibleFluidState< ScalarType, FluidSystem > && fs )

default

Member Function Documentation

◆ assign()

template<class ScalarType , class FluidSystem >

template<class FluidState >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::assign ( const FluidState & fs )

inline

Retrieve all parameters from an arbitrary fluid state.

Parameters

fs	Fluidstate

◆ averageMolarMass()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::averageMolarMass ( int phaseIdx ) const

inline

The average molar mass \(\overline M_\alpha\) of phase \(\alpha\) in \(\mathrm{[kg/mol]}\).

The average molar mass is the mean mass of a mole of the fluid at current composition. It is defined as the sum of the component's molar masses weighted by the current mole fraction:

\[\mathrm{ \overline M_\alpha = \sum_\kappa M^\kappa x_\alpha^\kappa}\]

Since this is an immiscible fluidstate we simply consider the molarMass of the pure component/phase.

◆ density()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::density ( int phaseIdx ) const

inline

The mass density \(\rho_\alpha\) of the fluid phase \(\alpha\) in \(\mathrm{[kg/m^3]}\).

◆ enthalpy()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::enthalpy ( int phaseIdx ) const

inline

The specific enthalpy \(h_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[J/kg]}\) This is not defined for an isothermal fluidstate.

◆ fugacity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::fugacity	(	int	phaseIdx,
		int	compIdx
	)		const

inline

The fugacity \(f^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[Pa]}\).

The fugacity is defined as: \(f_\alpha^\kappa := \Phi^\kappa_\alpha x^\kappa_\alpha p_\alpha \;,\) where \(\Phi^\kappa_\alpha\) is the fugacity coefficient [59] . The physical meaning of fugacity becomes clear from the equation:

\[f_\alpha^\kappa = p_\alpha \exp\left\{\frac{\zeta^\kappa_\alpha}{R T_\alpha} \right\} \;,\]

where \(\zeta^\kappa_\alpha\) represents the \(\kappa\)'s chemical potential in phase \(\alpha\), \(R\) stands for the ideal gas constant, and \(T_\alpha\) for the absolute temperature of phase \(\alpha\). Assuming thermal equilibrium, there is a one-to-one mapping between a component's chemical potential \(\zeta^\kappa_\alpha\) and its fugacity \(f^\kappa_\alpha\). In this case chemical equilibrium can thus be expressed by:

\[f^\kappa := f^\kappa_\alpha = f^\kappa_\beta\quad\forall \alpha, \beta\]

To avoid numerical issues with code that assumes miscibility, we return a fugacity of 0 for components which do not mix with the specified phase. (Actually it is undefined, but for finite fugacity coefficients, the only way to get components completely out of a phase is 0 to feed it zero fugacity.) To avoid numerical issues with code that assumes miscibility, we return a fugacity of 0 for components which do not mix with the specified phase. (Actually it is undefined, but for finite fugacity coefficients, the only way to get components completely out of a phase is 0 to feed it zero fugacity.)

◆ fugacityCoefficient()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::fugacityCoefficient	(	int	phaseIdx,
		int	compIdx
	)		const

inline

The fugacity coefficient \(\Phi^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\).

Since we assume immiscibility, the fugacity coefficients for the components which are not miscible with the phase is infinite. Beware that this will very likely break your code if you don't keep that in mind.

◆ internalEnergy()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::internalEnergy ( int phaseIdx ) const

inline

The specific internal energy \(u_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[J/kg]}\).

The specific internal energy is defined by the relation:

\[u_\alpha = h_\alpha - \frac{p_\alpha}{\rho_\alpha}\]

This is not defined for an isothermal fluidstate.

◆ massFraction()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::massFraction	(	int	phaseIdx,
		int	compIdx
	)		const

inline

Returns the mass fraction \(X^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\).

They are set either 1 or 0 in a phase since this is an immiscible fluidstate.

Parameters

phaseIdx	the index of the phase
compIdx	the index of the component

◆ molarDensity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::molarDensity ( int phaseIdx ) const

inline

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

The molar density is defined by the mass density \(\rho_\alpha\) and the mean molar mass \(\overline M_\alpha\):

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

◆ molarity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::molarity	(	int	phaseIdx,
		int	compIdx
	)		const

inline

The molar concentration \(c^\kappa_\alpha\) of component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\).

This quantity is usually called "molar concentration" or just "concentration", but there are many other (though less common) measures for concentration.

http://en.wikipedia.org/wiki/Concentration

◆ molarVolume()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::molarVolume ( int phaseIdx ) const

inline

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

This quantity is the inverse of the molar density.

◆ moleFraction()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::moleFraction	(	int	phaseIdx,
		int	compIdx
	)		const

inline

Returns the molar fraction \(x^\kappa_\alpha\) of the component \(\kappa\) in fluid phase \(\alpha\) in \(\mathrm{[-]}\).

The molar fraction \(x^\kappa_\alpha\) is defined as the ratio of the number of molecules of component \(\kappa\) and the total number of molecules of the phase \(\alpha\). They are set either 1 or 0 in a phase since this is an immiscible fluidstate.

Parameters

phaseIdx	the index of the phase
compIdx	the index of the component

◆ operator=() [1/2]

template<class ScalarType , class FluidSystem >

IsothermalImmiscibleFluidState & Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::operator= ( const IsothermalImmiscibleFluidState< ScalarType, FluidSystem > & fs )

default

◆ operator=() [2/2]

template<class ScalarType , class FluidSystem >

IsothermalImmiscibleFluidState & Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::operator= ( IsothermalImmiscibleFluidState< ScalarType, FluidSystem > && fs )

default

◆ pressure()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::pressure ( int phaseIdx ) const

inline

The pressure \(p_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[Pa]}\).

◆ saturation()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::saturation ( int phaseIdx ) const

inline

Returns the saturation \(S_\alpha\) of a fluid phase \(\alpha\) in \(\mathrm{[-]}\).

The saturation is defined as the pore space occupied by the fluid divided by the total pore space:

\[S_\alpha := \frac{\phi \mathcal{V}_\alpha}{\phi \mathcal{V}}\]

Parameters

phaseIdx the index of the phase

◆ setDensity()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setDensity	(	int	phaseIdx,
		Scalar	value
	)

inline

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

◆ setMolarDensity()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setMolarDensity	(	int	phaseIdx,
		Scalar	value
	)

inline

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

◆ setPressure()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setPressure	(	int	phaseIdx,
		Scalar	value
	)

inline

Set the fluid pressure of a phase \(\mathrm{[Pa]}\).

◆ setSaturation()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setSaturation	(	int	phaseIdx,
		Scalar	value
	)

inline

Set the saturation of a phase \(\mathrm{[-]}\).

◆ setTemperature()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setTemperature ( Scalar value )

inline

Set the temperature \(\mathrm{[K]]}\) of a fluid phase.

◆ setViscosity()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setViscosity	(	int	phaseIdx,
		Scalar	value
	)

inline

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

◆ setWettingPhase()

template<class ScalarType , class FluidSystem >

void Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::setWettingPhase ( int phaseIdx )

inline

Set the index of the most wetting phase.

◆ temperature() [1/2]

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::temperature ( ) const

inline

The temperature within the domain \(\mathrm{[K]}\).

◆ temperature() [2/2]

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::temperature ( int phaseIdx ) const

inline

The temperature of a fluid phase \(\mathrm{[K]}\).

◆ viscosity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::viscosity ( int phaseIdx ) const

inline

The dynamic viscosity \(\mu_\alpha\) of fluid phase \(\alpha\) in \(\mathrm{[Pa s]}\).

◆ wettingPhase()

template<class ScalarType , class FluidSystem >

int Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::wettingPhase ( ) const

inline

Returns the index of the most wetting phase in the fluid-solid configuration (for porous medium systems).

Member Data Documentation

◆ density_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::density_[numPhases] = {}

protected

◆ molarDensity_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::molarDensity_[numPhases] = {}

protected

◆ numComponents

template<class ScalarType , class FluidSystem >

constexpr int Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::numComponents = FluidSystem::numComponents

staticconstexpr

◆ numPhases

template<class ScalarType , class FluidSystem >

constexpr int Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::numPhases = FluidSystem::numPhases

staticconstexpr

◆ pressure_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::pressure_[numPhases] = {}

protected

◆ saturation_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::saturation_[numPhases] = {}

protected

◆ temperature_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::temperature_ = 0.0

protected

◆ viscosity_

template<class ScalarType , class FluidSystem >

Scalar Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::viscosity_[numPhases] = {}

protected

◆ wPhaseIdx_

template<class ScalarType , class FluidSystem >

int Dumux::IsothermalImmiscibleFluidState< ScalarType, FluidSystem >::wPhaseIdx_ {0}

protected

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

isothermalimmiscible.hh

Description

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Member Typedef Documentation

◆ Scalar

Constructor & Destructor Documentation

◆ IsothermalImmiscibleFluidState() [1/4]

◆ IsothermalImmiscibleFluidState() [2/4]

◆ IsothermalImmiscibleFluidState() [3/4]

◆ IsothermalImmiscibleFluidState() [4/4]

Member Function Documentation

◆ assign()

◆ averageMolarMass()

◆ density()

◆ enthalpy()

◆ fugacity()

◆ fugacityCoefficient()

◆ internalEnergy()

◆ massFraction()

◆ molarDensity()

◆ molarity()

◆ molarVolume()

◆ moleFraction()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ pressure()

◆ saturation()

◆ setDensity()

◆ setMolarDensity()

◆ setPressure()

◆ setSaturation()

◆ setTemperature()

◆ setViscosity()

◆ setWettingPhase()

◆ temperature() [1/2]

◆ temperature() [2/2]

◆ viscosity()

◆ wettingPhase()

Member Data Documentation

◆ density_

◆ molarDensity_

◆ numComponents

◆ numPhases

◆ pressure_

◆ saturation_

◆ temperature_

◆ viscosity_

◆ wPhaseIdx_