A two-phase (water and air) fluid system with water, nitrogen and oxygen as components. More...

#include <dumux/material/fluidsystems/h2on2o2.hh>

Inheritance diagram for Dumux::FluidSystems::H2ON2O2< Scalar, Policy >:

Description

template<class Scalar, class Policy = H2ON2O2DefaultPolicy<>>
class Dumux::FluidSystems::H2ON2O2< Scalar, Policy >

A two-phase (water and air) fluid system with water, nitrogen and oxygen as components.

This fluidsystem uses tabulated version of water of the IAPWS-formulation.

Also remember to initialize tabulated components (FluidSystem::init()), while this is not necessary for non-tabularized ones.

Public Types
using	Scalar = Scalar
	export the scalar type 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	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 bool	isMiscible ()
	Returns whether the fluids are miscible. 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...

static Scalar	criticalTemperature (int compIdx)
	Critical temperature of a component \(\mathrm{[K]}\). More...

static Scalar	criticalPressure (int compIdx)
	Critical pressure of a component \(\mathrm{[Pa]}\). More...

static Scalar	criticalMolarVolume (int compIdx)
	Molar volume of a component at the critical point \(\mathrm{[m^3/mol]}\). More...

static Scalar	acentricFactor (int compIdx)
	The acentric factor of a component \(\mathrm{[-]}\). More...

template<class FluidState >
static Scalar	kelvinVaporPressure (const FluidState &fluidState, const int phaseIdx, const int compIdx, const Scalar radius)
	Kelvin equation in \(\mathrm{[Pa]}\). More...

template<class FluidState >
static Scalar	kelvinVaporPressure (const FluidState &fluidState, const int phaseIdx, const int compIdx)
	Vapor pressure including the Kelvin equation in \(\mathrm{[Pa]}\). More...

template<class FluidState >
static Scalar	surfaceTension (const FluidState &fluidState)
	Calculate the surface tension between water and air in \(\mathrm{[\frac{N}{m}]}\), according to IAPWS Release on Surface Tension from September 1994. The equation is valid between the triple Point (0.01C) and the critical temperature. 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)
	Calculate the 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 \(i\) and \(j\) 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	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, const int phaseIdx)
	Thermal conductivity 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	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 \(c_{p,\alpha}\) 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 \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\). More...

static constexpr bool	isTracerFluidSystem ()
	Some properties of the fluid system. More...

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

static constexpr bool	viscosityIsConstant (int phaseIdx)
	Returns true if and only if a fluid phase is assumed to have a constant viscosity. More...

Static Public Attributes
static constexpr int	numPhases = 2
	Number of phases in the fluid system. More...

static constexpr int	numComponents = 3
	Number of components in the fluid system. More...

static constexpr int	numSPhases = 0

static constexpr int	liquidPhaseIdx = 0
	index of the liquid phase More...

static constexpr int	gasPhaseIdx = 1
	index of the gas phase More...

static constexpr int	phase0Idx = liquidPhaseIdx
	index of the first phase More...

static constexpr int	phase1Idx = gasPhaseIdx
	index of the second phase More...

static constexpr int	H2OIdx = 0

static constexpr int	N2Idx = 1

static constexpr int	O2Idx = 2

static constexpr int	comp0Idx = H2OIdx

static constexpr int	comp1Idx = N2Idx

static constexpr int	comp2Idx = O2Idx

static constexpr int	liquidPhaseMainCompIdx = H2OIdx

static constexpr int	gasPhaseMainCompIdx = N2Idx

Member Typedef Documentation

◆ ParameterCache

using Dumux::FluidSystems::Base< Scalar , H2ON2O2< Scalar, H2ON2O2DefaultPolicy<> > >::ParameterCache = NullParameterCache

inherited

The type of parameter cache objects.

◆ Scalar

using Dumux::FluidSystems::Base< Scalar , H2ON2O2< Scalar, H2ON2O2DefaultPolicy<> > >::Scalar = Scalar

inherited

export the scalar type

Member Function Documentation

◆ acentricFactor()

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::acentricFactor ( int compIdx )

inlinestatic

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

Parameters

compIdx The index of the component to consider

◆ binaryDiffusionCoefficient() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, 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 \(i\) 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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::componentEnthalpy	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	componentIdx
	)

inlinestatic

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

◆ componentName()

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

static std::string Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::componentName ( int compIdx )

inlinestatic

Return the human readable name of a component.

Parameters

compIdx The index of the component to consider

◆ criticalMolarVolume()

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::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 Policy = H2ON2O2DefaultPolicy<>>

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::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 Policy = H2ON2O2DefaultPolicy<>>

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::criticalTemperature ( int compIdx )

inlinestatic

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

Parameters

compIdx The index of the component to consider

◆ density() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, 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 \(\mathrm{[kg/m^3]}\).

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

Parameters

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

◆ diffusionCoefficient() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::diffusionCoefficient	(	const FluidState &	fluidState,
		int	phaseIdx,
		int	compIdx
	)

inlinestatic

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

Molecular diffusion of a compoent \(\kappa\) is caused by a gradient of the chemical potential and follows the law

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

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

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

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

Parameters

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

◆ enthalpy() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::enthalpy	(	const FluidState &	fluidState,
		int	phaseIdx
	)

inlinestatic

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

Note: This fluid 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. ...

Parameters

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

◆ fugacityCoefficient() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::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()

static constexpr int Dumux::FluidSystems::Base< Scalar , H2ON2O2< Scalar, H2ON2O2DefaultPolicy<> > >::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() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

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

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

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

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::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

◆ init() [1/2]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

static void Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static void Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static bool Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static bool Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static constexpr bool Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::isMiscible ( )

inlinestaticconstexpr

Returns whether the fluids are miscible.

◆ isTracerFluidSystem()

static constexpr bool Dumux::FluidSystems::Base< Scalar , H2ON2O2< Scalar, H2ON2O2DefaultPolicy<> > >::isTracerFluidSystem ( )

inlinestaticconstexprinherited

Some properties of the fluid system.

If the fluid system only contains tracer components

◆ kelvinVaporPressure() [1/2]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::kelvinVaporPressure	(	const FluidState &	fluidState,
		const int	phaseIdx,
		const int	compIdx
	)

inlinestatic

Vapor pressure including the Kelvin equation in \(\mathrm{[Pa]}\).

Calculate the decreased vapor pressure due to capillarity

Parameters

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

◆ kelvinVaporPressure() [2/2]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::kelvinVaporPressure	(	const FluidState &	fluidState,
		const int	phaseIdx,
		const int	compIdx,
		const Scalar	radius
	)

inlinestatic

Kelvin equation in \(\mathrm{[Pa]}\).

Calculate the increase vapor pressure over the curved surface of a drop with radius r

Parameters

fluidState	An abitrary fluid state
phaseIdx	The index of the fluid phase to consider
compIdx	The index of the component to consider
radius	The radius of the drop

◆ molarDensity() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, 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 simple relation is defined by the mass density \(\rho_\alpha\) and the molar mass of the main component

The molar density for the complrex 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 Policy = H2ON2O2DefaultPolicy<>>

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, 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 Policy = H2ON2O2DefaultPolicy<>>

static std::string Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::phaseName ( int phaseIdx )

inlinestatic

Return the human readable name of a fluid phase.

Parameters

phaseIdx The index of the fluid phase to consider

◆ surfaceTension()

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::surfaceTension ( const FluidState & fluidState )

inlinestatic

Calculate the surface tension between water and air in \(\mathrm{[\frac{N}{m}]}\), according to IAPWS Release on Surface Tension from September 1994. The equation is valid between the triple Point (0.01C) and the critical temperature.

Parameters

fluidState An abitrary fluid state

◆ thermalConductivity() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::thermalConductivity	(	const FluidState &	fluidState,
		const int	phaseIdx
	)

inlinestatic

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

Use the conductivity of air and water as a first approximation.

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

Parameters

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

◆ thermalConductivity() [2/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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() [3/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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

◆ viscosity() [1/3]

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

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 Policy = H2ON2O2DefaultPolicy<>>

template<class FluidState >

static Scalar Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::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, 20001, 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()

static constexpr bool Dumux::FluidSystems::Base< Scalar , H2ON2O2< Scalar, H2ON2O2DefaultPolicy<> > >::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

◆ comp0Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::comp0Idx = H2OIdx

staticconstexpr

◆ comp1Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::comp1Idx = N2Idx

staticconstexpr

◆ comp2Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::comp2Idx = O2Idx

staticconstexpr

◆ gasPhaseIdx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::gasPhaseIdx = 1

staticconstexpr

index of the gas phase

◆ gasPhaseMainCompIdx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::gasPhaseMainCompIdx = N2Idx

staticconstexpr

◆ H2OIdx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::H2OIdx = 0

staticconstexpr

◆ liquidPhaseIdx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::liquidPhaseIdx = 0

staticconstexpr

index of the liquid phase

◆ liquidPhaseMainCompIdx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::liquidPhaseMainCompIdx = H2OIdx

staticconstexpr

◆ N2Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::N2Idx = 1

staticconstexpr

◆ numComponents

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::numComponents = 3

staticconstexpr

Number of components in the fluid system.

◆ numPhases

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::numPhases = 2

staticconstexpr

Number of phases in the fluid system.

◆ numSPhases

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::numSPhases = 0

staticconstexpr

◆ O2Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::O2Idx = 2

staticconstexpr

◆ phase0Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::phase0Idx = liquidPhaseIdx

staticconstexpr

index of the first phase

◆ phase1Idx

template<class Scalar , class Policy = H2ON2O2DefaultPolicy<>>

constexpr int Dumux::FluidSystems::H2ON2O2< Scalar, Policy >::phase1Idx = gasPhaseIdx

staticconstexpr

index of the second phase

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

h2on2o2.hh

Description

Public Types

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ ParameterCache

◆ Scalar

Member Function Documentation

◆ acentricFactor()

◆ binaryDiffusionCoefficient() [1/3]

◆ binaryDiffusionCoefficient() [2/3]

◆ binaryDiffusionCoefficient() [3/3]

◆ componentEnthalpy()

◆ componentName()

◆ criticalMolarVolume()

◆ criticalPressure()

◆ criticalTemperature()

◆ 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()

◆ isTracerFluidSystem()

◆ kelvinVaporPressure() [1/2]

◆ kelvinVaporPressure() [2/2]

◆ molarDensity() [1/3]

◆ molarDensity() [2/3]

◆ molarDensity() [3/3]

◆ molarMass()

◆ phaseName()

◆ surfaceTension()

◆ thermalConductivity() [1/3]

◆ thermalConductivity() [2/3]

◆ thermalConductivity() [3/3]

◆ viscosity() [1/3]

◆ viscosity() [2/3]

◆ viscosity() [3/3]

◆ viscosityIsConstant()

Member Data Documentation

◆ comp0Idx

◆ comp1Idx

◆ comp2Idx

◆ gasPhaseIdx

◆ gasPhaseMainCompIdx

◆ H2OIdx

◆ liquidPhaseIdx

◆ liquidPhaseMainCompIdx

◆ N2Idx

◆ numComponents

◆ numPhases

◆ numSPhases

◆ O2Idx

◆ phase0Idx

◆ phase1Idx