Represents all relevant thermodynamic quantities of a multi-phase, multi-component fluid system without using any assumptions. More...

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

Inheritance diagram for Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >:

Description

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

Represents all relevant thermodynamic quantities of a multi-phase, multi-component fluid system without using any assumptions.

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

Public Member Functions
int	wettingPhase () const
	Returns the index of the 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	fugacityCoefficient (int phaseIdx, int compIdx) const
	The fugacity coefficient $\Phi^\kappa_\alpha$ of component $\kappa$ in fluid phase $\alpha$ in $\mathrm{[-]}$ . 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	fugacity (int compIdx) const

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 (const int phaseIdx) const
	The absolute temperature $T_\alpha$ of a fluid phase $\alpha$ in $\mathrm{[K]}$ . More...

Scalar	temperature () const
	Get the equilibrium temperature $\mathrm{[K]}$ of the fluid phases. More...

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

Scalar	partialPressure (int phaseIdx, int compIdx) const
	The partial pressure of a component in a phase $\mathrm{[Pa]}$ . More...

Scalar	enthalpy (int phaseIdx) const
	The specific enthalpy $h_\alpha$ of a fluid phase $\alpha$ in $\mathrm{[J/kg]}$ . 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...

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

void	setTemperature (Scalar value)
	Set the temperature $\mathrm{[K]}$ of all fluid phases. 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	setMoleFraction (int phaseIdx, int compIdx, Scalar value)
	Set the mole fraction of a component in a phase $\mathrm{[-]}$ . More...

void	setMassFraction (int phaseIdx, int compIdx, Scalar value)
	Set the mass fraction of a component in a phase $\mathrm{[-]}$ and update the average molar mass $\mathrm{[kg/mol]}$ according to the current composition of the phase. More...

void	setFugacityCoefficient (int phaseIdx, int compIdx, Scalar value)
	Set the fugacity of a component in 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	setEnthalpy (int phaseIdx, Scalar value)
	Set the specific enthalpy of a phase $\mathrm{[J/m^3]}$ . 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 wetting phase. More...

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

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

static constexpr int	numComponents = FluidSystem::numComponents

Protected Attributes
Scalar	moleFraction_ [numPhases][numComponents] = {}

Scalar	fugacityCoefficient_ [numPhases][numComponents] = {}

Scalar	averageMolarMass_ [numPhases] = {}

Scalar	sumMoleFractions_ [numPhases] = {}

Scalar	pressure_ [numPhases] = {}

Scalar	saturation_ [numPhases] = {}

Scalar	density_ [numPhases] = {}

Scalar	molarDensity_ [numPhases] = {}

Scalar	enthalpy_ [numPhases] = {}

Scalar	viscosity_ [numPhases] = {}

Scalar	temperature_ [numPhases] = {}

Scalar	temperatureEquil_ = 0.0

int	wPhaseIdx_ {0}

Member Typedef Documentation

◆ Scalar

template<class ScalarType , class FluidSystem >

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

export the scalar type

Member Function Documentation

◆ assign()

template<class ScalarType , class FluidSystem >

template<class FluidState >

void Dumux::NonEquilibriumFluidState< 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::NonEquilibriumFluidState< 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:

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

◆ density()

template<class ScalarType , class FluidSystem >

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

inline

The specific enthalpy $h_\alpha$ of a fluid phase $\alpha$ in $\mathrm{[J/kg]}$ .

◆ fugacity() [1/2]

template<class ScalarType , class FluidSystem >

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

inline

◆ fugacity() [2/2]

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< 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:

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

◆ fugacityCoefficient()

template<class ScalarType , class FluidSystem >

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

inline

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

◆ internalEnergy()

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< 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:

$u_\alpha = h_\alpha - \frac{p_\alpha}{\rho_\alpha}$

◆ massFraction()

template<class ScalarType , class FluidSystem >

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

inline

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

The mass fraction $X^\kappa_\alpha$ is defined as the weight of all molecules of a component divided by the total mass of the fluid phase. It is related with the component's mole fraction by means of the relation

$X^\kappa_\alpha = x^\kappa_\alpha \frac{M^\kappa}{\overline M_\alpha}\;,$

where $M^\kappa$ is the molar mass of component $\kappa$ and $\overline M_\alpha$ is the mean molar mass of a molecule of phase $\alpha$ .

Parameters

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

◆ molarDensity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< 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::NonEquilibriumFluidState< 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::NonEquilibriumFluidState< 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::NonEquilibriumFluidState< 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 $\alpha$ .

Parameters

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

◆ partialPressure()

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::partialPressure	(	int	phaseIdx,
		int	compIdx
	)		const

inline

The partial pressure of a component in a phase $\mathrm{[Pa]}$ .

Todo:: is this needed?

◆ pressure()

template<class ScalarType , class FluidSystem >

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

inline

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

◆ setEnthalpy()

template<class ScalarType , class FluidSystem >

void Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::setEnthalpy	(	int	phaseIdx,
		Scalar	value
	)

inline

Set the specific enthalpy of a phase $\mathrm{[J/m^3]}$ .

◆ setFugacityCoefficient()

template<class ScalarType , class FluidSystem >

void Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::setFugacityCoefficient	(	int	phaseIdx,
		int	compIdx,
		Scalar	value
	)

inline

Set the fugacity of a component in a phase $\mathrm{[-]}$ .

◆ setMassFraction()

template<class ScalarType , class FluidSystem >

void Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::setMassFraction	(	int	phaseIdx,
		int	compIdx,
		Scalar	value
	)

inline

Set the mass fraction of a component in a phase $\mathrm{[-]}$ and update the average molar mass $\mathrm{[kg/mol]}$ according to the current composition of the phase.

◆ setMolarDensity()

template<class ScalarType , class FluidSystem >

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

inline

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

◆ setMoleFraction()

template<class ScalarType , class FluidSystem >

void Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::setMoleFraction	(	int	phaseIdx,
		int	compIdx,
		Scalar	value
	)

inline

Set the mole fraction of a component in a phase $\mathrm{[-]}$ .

◆ setPressure()

template<class ScalarType , class FluidSystem >

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

inline

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

◆ setTemperature() [1/2]

template<class ScalarType , class FluidSystem >

void Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::setTemperature	(	int	phaseIdx,
		Scalar	value
	)

inline

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

◆ setTemperature() [2/2]

template<class ScalarType , class FluidSystem >

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

inline

Set the temperature $\mathrm{[K]}$ of all fluid phases.

◆ setViscosity()

template<class ScalarType , class FluidSystem >

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

inline

Set the index of the wetting phase.

◆ temperature() [1/2]

template<class ScalarType , class FluidSystem >

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

inline

Get the equilibrium temperature $\mathrm{[K]}$ of the fluid phases.

◆ temperature() [2/2]

template<class ScalarType , class FluidSystem >

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

inline

The absolute temperature $T_\alpha$ of a fluid phase $\alpha$ in $\mathrm{[K]}$ .

◆ viscosity()

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< 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::NonEquilibriumFluidState< ScalarType, FluidSystem >::wettingPhase ( ) const

inline

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

Member Data Documentation

◆ averageMolarMass_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::averageMolarMass_[numPhases] = {}

protected

◆ density_

template<class ScalarType , class FluidSystem >

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

protected

◆ enthalpy_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::enthalpy_[numPhases] = {}

protected

◆ fugacityCoefficient_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::fugacityCoefficient_[numPhases][numComponents] = {}

protected

◆ molarDensity_

template<class ScalarType , class FluidSystem >

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

protected

◆ moleFraction_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::moleFraction_[numPhases][numComponents] = {}

protected

◆ numComponents

template<class ScalarType , class FluidSystem >

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

staticconstexpr

◆ numPhases

template<class ScalarType , class FluidSystem >

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

staticconstexpr

◆ pressure_

template<class ScalarType , class FluidSystem >

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

protected

◆ saturation_

template<class ScalarType , class FluidSystem >

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

protected

◆ sumMoleFractions_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::sumMoleFractions_[numPhases] = {}

protected

◆ temperature_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::temperature_[numPhases] = {}

protected

◆ temperatureEquil_

template<class ScalarType , class FluidSystem >

Scalar Dumux::NonEquilibriumFluidState< ScalarType, FluidSystem >::temperatureEquil_ = 0.0

protected

◆ viscosity_

template<class ScalarType , class FluidSystem >

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

protected

◆ wPhaseIdx_

template<class ScalarType , class FluidSystem >

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

protected

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

nonequilibrium.hh

Description

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Member Typedef Documentation

◆ Scalar

Member Function Documentation

◆ assign()

◆ averageMolarMass()

◆ density()

◆ enthalpy()

◆ fugacity() [1/2]

◆ fugacity() [2/2]

◆ fugacityCoefficient()

◆ internalEnergy()

◆ massFraction()

◆ molarDensity()

◆ molarity()

◆ molarVolume()

◆ moleFraction()

◆ partialPressure()

◆ pressure()

◆ saturation()

◆ setDensity()

◆ setEnthalpy()

◆ setFugacityCoefficient()

◆ setMassFraction()

◆ setMolarDensity()

◆ setMoleFraction()

◆ setPressure()

◆ setSaturation()

◆ setTemperature() [1/2]

◆ setTemperature() [2/2]

◆ setViscosity()

◆ setWettingPhase()

◆ temperature() [1/2]

◆ temperature() [2/2]

◆ viscosity()

◆ wettingPhase()

Member Data Documentation

◆ averageMolarMass_

◆ density_

◆ enthalpy_

◆ fugacityCoefficient_

◆ molarDensity_

◆ moleFraction_

◆ numComponents

◆ numPhases

◆ pressure_

◆ saturation_

◆ sumMoleFractions_

◆ temperature_

◆ temperatureEquil_

◆ viscosity_

◆ wPhaseIdx_