Considering the Hertz Knudsen formula, which gives the evaporation-condensation flux based on the kinetic theory for flat interface: More...

Inheritance diagram for kineticGasEvaporation< Thermo, OtherThermo >:

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Collaboration diagram for kineticGasEvaporation< Thermo, OtherThermo >:

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Public Member Functions
	TypeName ("kineticGasEvaporation")
	Runtime type information. More...

	kineticGasEvaporation (const dictionary &dict, const phasePair &pair)
	Construct from components. More...

virtual	~kineticGasEvaporation ()=default
	Destructor. More...

virtual tmp< volScalarField >	Kexp (label variable, const volScalarField &field)
	Explicit mass transfer coefficient. More...

virtual const dimensionedScalar &	Tactivate () const
	Return Tactivate. More...

Public Member Functions inherited from InterfaceCompositionModel< Thermo, OtherThermo >
	InterfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from components. More...

	~InterfaceCompositionModel ()=default
	Destructor. More...

virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const
	Mass fraction difference between the interface and the field. More...

virtual tmp< volScalarField >	D (const word &speciesName) const
	Mass diffusivity. More...

virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const
	Latent heat. More...

virtual void	addMDotL (const volScalarField &K, const volScalarField &Tf, volScalarField &mDotL, volScalarField &mDotLPrime) const
	Add latent heat flow rate to total. More...

	InterfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from components. More...

	~InterfaceCompositionModel ()=default
	Destructor. More...

virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const
	Mass fraction difference between the interface and the field. More...

virtual tmp< volScalarField >	Yf (const word &speciesName, const volScalarField &Tf) const
	Reference mass fraction for specied based models. More...

virtual tmp< volScalarField >	D (const word &speciesName) const
	Mass diffusivity of the local thermo. More...

virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const
	Latent heat (to - from)(thermo - otherThermo) More...

template<class ThermoType >
const Foam::multiComponentMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const multiComponentMixture< ThermoType > &globalThermo) const

template<class ThermoType >
const Foam::pureMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const pureMixture< ThermoType > &globalThermo) const

Public Member Functions inherited from interfaceCompositionModel
	TypeName ("interfaceCompositionModel")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, interfaceCompositionModel, dictionary,(const dictionary &dict, const phasePair &pair),(dict, pair))

	interfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from a dictionary and a phase pair. More...

virtual	~interfaceCompositionModel ()=default
	Destructor. More...

virtual void	update (const volScalarField &Tf)=0
	Update the composition. More...

const hashedWordList &	species () const
	Return the transferring species names. More...

bool	transports (word &speciesName) const

virtual tmp< volScalarField >	YfPrime (const word &speciesName, const volScalarField &Tf) const =0
	The interface mass fraction derivative w.r.t. temperature. More...

	TypeName ("interfaceCompositionModel")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, interfaceCompositionModel, dictionary,(const dictionary &dict, const phasePair &pair),(dict, pair))

	interfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from a dictionary and a phase pair. More...

virtual	~interfaceCompositionModel ()=default
	Destructor. More...

const word	transferSpecie () const
	Return the transferring species name. More...

const phasePair &	pair () const
	Return pair. More...

const word	variable () const
	Returns the variable on which the model is based. More...

Additional Inherited Members
Public Types inherited from interfaceCompositionModel
enum	modelVariable { T, P, Y }
	Enumeration for variable based mass transfer models. More...

Static Public Member Functions inherited from interfaceCompositionModel
static autoPtr< interfaceCompositionModel >	New (const dictionary &dict, const phasePair &pair)

static autoPtr< interfaceCompositionModel >	New (const dictionary &dict, const phasePair &pair)

Public Attributes inherited from interfaceCompositionModel
modelVariable	modelVariable_
	Enumeration for model variables. More...

Static Public Attributes inherited from interfaceCompositionModel
static const Enum< modelVariable >	modelVariableNames

Protected Member Functions inherited from InterfaceCompositionModel< Thermo, OtherThermo >
template<class ThermoType >
const pureMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const pureMixture< ThermoType > &globalThermo) const
	Get a reference to the local thermo for a pure mixture. More...

template<class ThermoType >
const multiComponentMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const multiComponentMixture< ThermoType > &globalThermo) const
	Get a reference to the local thermo for a multi component mixture. More...

template<class ThermoType >
const pureMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const pureMixture< ThermoType > &globalThermo) const
	Get a reference to the local thermo for a pure mixture. More...

template<class ThermoType >
const multiComponentMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const multiComponentMixture< ThermoType > &globalThermo) const
	Get a reference to the local thermo for a multi component mixture. More...

template<class ThermoType >
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const pureMixture< ThermoType > &thermo) const
	Return mass fraction for a pureMixture equal to one. More...

template<class ThermoType >
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const multiComponentMixture< ThermoType > &thermo) const
	Return mass fraction for speciesName. More...

template<class ThermoType >
tmp< volScalarField >	MwMixture (const pureMixture< ThermoType > &thermo) const
	Return moleculas weight of the mixture for pureMixture [Kg/mol]. More...

template<class ThermoType >
tmp< volScalarField >	MwMixture (const multiComponentMixture< ThermoType > &) const
	Return moleculas weight of the mixture for multiComponentMixture. More...

Protected Attributes inherited from InterfaceCompositionModel< Thermo, OtherThermo >
const Thermo &	thermo_
	Thermo. More...

const OtherThermo &	otherThermo_
	Other Thermo. More...

const dimensionedScalar	Le_
	Lewis number. More...

const Thermo &	fromThermo_
	Thermo (from) More...

const OtherThermo &	toThermo_
	Other Thermo (to) More...

Protected Attributes inherited from interfaceCompositionModel
const phasePair &	pair_
	Phase pair. More...

const hashedWordList	speciesNames_
	Names of the transferring species. More...

word	speciesName_
	Names of the transferring specie. More...

const fvMesh &	mesh_
	Reference to mesh. More...

Detailed Description

template<class Thermo, class OtherThermo>
class Foam::meltingEvaporationModels::kineticGasEvaporation< Thermo, OtherThermo >

Considering the Hertz Knudsen formula, which gives the evaporation-condensation flux based on the kinetic theory for flat interface:

\[ Flux = C \sqrt{\frac{M}{2 \pi R T_{activate}}}(p - p_{sat}) \]

where:

\( Flux \)	=	mass flux rate [kg/s/m2]
\( M \)	=	molecular weight
\( T_{activate} \)	=	saturation temperature
\( C \)	=	accomodation coefficient
\( R \)	=	universal gas constant
\( p_{sat} \)	=	saturation pressure
\( p \)	=	vapor partial pressure

The Clapeyron-Clausius equation relates the pressure to the temperature for the saturation condition:

\[ \frac{dp}{dT} = - \frac{L}{T (\nu_v - \nu_l)} \]

where:

\( L \)	=	latent heat
\( \nu_v \)	=	inverse of the vapor density
\( \nu_l \)	=	inverse of the liquid density

Using the above relations:

\[ Flux = 2 \frac{C}{2 - C} \sqrt{\frac{M}{2 \pi R T_{activate}}} L (\rho_{v}*\rho_{l}/(\rho_{l} - \rho_{v})) (T - T_{activate})/T_{activate} \]

This assumes liquid and vapour are in equilibrium, then the accomodation coefficient are equivalent for the interface. This relation is known as the Hertz-Knudsen-Schrage.

Based on the reference:

Van P. Carey, Liquid-Vapor Phase Change Phenomena, ISBN 0-89116836, 1992, pp. 112-121.

Usage

Example usage:

massTransferModel
(
    (liquid to gas)
    {
        type                kineticGasEvaporation;
        species             vapour.gas;
        C                   0.1;
        alphaMin            0.0;
        alphaMax            0.2;
        Tactivate           373;
    }
);

where:

Property	Description	Required	Default value
`C`	Accomodation coefficient (C > 0 for evaporation, C < 0 for
`condensation`)	yes
`alphaMin`	Minimum value of alpha	no	0.0
`alphaMax`	Maximum values of alpha	no	0.5
`Tactivate`	Saturation temperature	yes
`species`	Specie name on the other phase	yes

Source files

Definition at line 206 of file kineticGasEvaporation.H.

Constructor & Destructor Documentation

◆ kineticGasEvaporation()

kineticGasEvaporation	(	const dictionary &	dict,
		const phasePair &	pair
	)

Construct from components.

◆ ~kineticGasEvaporation()

virtual ~kineticGasEvaporation ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "kineticGasEvaporation< Thermo, OtherThermo >" )

Runtime type information.

◆ Kexp()

virtual tmp<volScalarField> Kexp	(	label	variable,
		const volScalarField &	field
	)

virtual

Explicit mass transfer coefficient.

Implements interfaceCompositionModel.

◆ Tactivate()

virtual const dimensionedScalar& Tactivate ( ) const

virtual

Return Tactivate.

Implements interfaceCompositionModel.

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

applications/solvers/multiphase/icoReactingMultiphaseInterFoam/massTransferModels/kineticGasEvaporation/kineticGasEvaporation.H

Public Member Functions

Additional Inherited Members

Detailed Description

template<class Thermo, class OtherThermo> class Foam::meltingEvaporationModels::kineticGasEvaporation< Thermo, OtherThermo >

Constructor & Destructor Documentation

◆ kineticGasEvaporation()

◆ ~kineticGasEvaporation()

Member Function Documentation

◆ TypeName()

◆ Kexp()

◆ Tactivate()

template<class Thermo, class OtherThermo>
class Foam::meltingEvaporationModels::kineticGasEvaporation< Thermo, OtherThermo >