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")

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

virtual	~kineticGasEvaporation ()=default

virtual tmp< volScalarField >	Kexp (const volScalarField &field)

virtual tmp< volScalarField >	KSp (label modelVariable, const volScalarField &field)

virtual tmp< volScalarField >	KSu (label modelVariable, const volScalarField &field)

virtual const dimensionedScalar &	Tactivate () const noexcept

virtual bool	includeDivU () const noexcept

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

	~InterfaceCompositionModel ()=default

virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const

virtual tmp< volScalarField >	Yf (const word &speciesName, const volScalarField &Tf) const

virtual tmp< volScalarField >	D (const word &speciesName) const

virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const

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

	~InterfaceCompositionModel ()=default

virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const

virtual tmp< volScalarField >	D (const word &speciesName) const

virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const

virtual void	addMDotL (const volScalarField &K, const volScalarField &Tf, volScalarField &mDotL, volScalarField &mDotLPrime) const

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

template<class ThermoType >
Foam::tmp< Foam::volScalarField >	getSpecieMassFraction (const word &speciesName, const multiComponentMixture< ThermoType > &mixture) const

template<class ThermoType >
Foam::tmp< Foam::volScalarField >	getSpecieMassFraction (const word &speciesName, const pureMixture< ThermoType > &mixture) const

template<class ThermoType >
Foam::tmp< Foam::volScalarField >	MwMixture (const pureMixture< ThermoType > &mixture) const

template<class ThermoType >
Foam::tmp< Foam::volScalarField >	MwMixture (const multiComponentMixture< ThermoType > &mixture) const

Public Member Functions inherited from interfaceCompositionModel
	TypeName ("interfaceCompositionModel")

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

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

virtual	~interfaceCompositionModel ()=default

const word	transferSpecie () const

const phasePair &	pair () const

bool	includeVolChange ()

const word &	variable () const

	TypeName ("interfaceCompositionModel")

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

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

virtual	~interfaceCompositionModel ()=default

virtual void	update (const volScalarField &Tf)=0

const hashedWordList &	species () const

bool	transports (word &speciesName) const

virtual tmp< volScalarField >	YfPrime (const word &speciesName, const volScalarField &Tf) const =0

Additional Inherited Members
Public Types inherited from interfaceCompositionModel
enum	modelVariable { T, P, Y, alpha }

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)

Protected Member Functions inherited from InterfaceCompositionModel< Thermo, OtherThermo >
template<class ThermoType >
const pureMixture< ThermoType >::thermoType &	getLocalThermo (const word &speciesName, const pureMixture< ThermoType > &globalThermo) const

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

template<class ThermoType >
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const pureMixture< ThermoType > &thermo) const

template<class ThermoType >
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const multiComponentMixture< ThermoType > &thermo) const

template<class ThermoType >
tmp< volScalarField >	MwMixture (const pureMixture< ThermoType > &thermo) const

template<class ThermoType >
tmp< volScalarField >	MwMixture (const multiComponentMixture< ThermoType > &) const

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

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

Protected Attributes inherited from InterfaceCompositionModel< Thermo, OtherThermo >
const Thermo &	fromThermo_

const OtherThermo &	toThermo_

const dimensionedScalar	Le_

const Thermo &	thermo_

const OtherThermo &	otherThermo_

Protected Attributes inherited from interfaceCompositionModel
modelVariable	modelVariable_

bool	includeVolChange_

const phasePair &	pair_

word	speciesName_

const fvMesh &	mesh_

const hashedWordList	speciesNames_

Static Protected Attributes inherited from interfaceCompositionModel
static const Enum< modelVariable >	modelVariableNames_

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:

	=	mass flux rate [kg/s/m2]
	=	molecular weight
$T_{activate}$	=	saturation temperature
	=	accommodation coefficient
	=	universal gas constant
$p_{sat}$	=	saturation pressure
	=	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:

	=	latent heat
$\nu_v$	=	inverse of the vapor density
$\nu_l$	=	inverse of the liquid density

Using the above relations:

$Flux = 2 \frac{C}{2 - C} \sqrt{\frac{M}{2 \pi R {T_activate}^3}} L (\rho_{v}) (T - T_{activate})$

This assumes liquid and vapour are in equilibrium, then the accommodation 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;
        isoAlpha            0.1;
        Tactivate           373;
    }
);

where:

Property	Description	Required	Default value
`C`	Coefficient (C > 0 for evaporation, C < 0 for
`condensation`)	yes
`includeVolChange`	Volumen change	no	yes
`isoAlpha`	iso-alpha for interface	no	0.5
`Tactivate`	Saturation temperature	yes
`species`	Specie name on the other phase	no	none

Source files

Definition at line 201 of file kineticGasEvaporation.H.

Constructor & Destructor Documentation

◆ kineticGasEvaporation()

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

Definition at line 109 of file kineticGasEvaporation.C.

References Foam::abort(), Foam::constant::electromagnetic::e, Foam::FatalError, FatalErrorInFunction, and IOobject::member().

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◆ ~kineticGasEvaporation()

virtual ~kineticGasEvaporation ( )

virtualdefault

Member Function Documentation

◆ TypeName()

TypeName ( "kineticGasEvaporation< Thermo, OtherThermo >" )

◆ Kexp()

Foam::tmp< Foam::volScalarField > Kexp ( const volScalarField & field )

virtual

Implements interfaceCompositionModel.

Definition at line 186 of file kineticGasEvaporation.C.

References Foam::dimDensity, Foam::dimTemperature, phasePair::from(), L(), Foam::mag(), Foam::max(), IOobject::member(), mesh, Foam::constant::mathematical::pi(), Foam::pow3(), Foam::constant::physicoChemical::R, tmp::ref(), phaseModel::rho(), Foam::sign(), Foam::sqrt(), Foam::T(), T0, phasePair::to(), and Foam::Zero.

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◆ KSp()

Foam::tmp< Foam::volScalarField > KSp	(	label	modelVariable,
		const volScalarField &	field
	)

virtual

Implements interfaceCompositionModel.

Definition at line 262 of file kineticGasEvaporation.C.

References Foam::pos(), and Foam::sign().

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◆ KSu()

Foam::tmp< Foam::volScalarField > KSu	(	label	modelVariable,
		const volScalarField &	field
	)

virtual

Implements interfaceCompositionModel.

Definition at line 290 of file kineticGasEvaporation.C.

References Foam::pos(), and Foam::sign().

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◆ Tactivate()

virtual const dimensionedScalar& Tactivate ( ) const

inlinevirtualnoexcept

Implements interfaceCompositionModel.

Definition at line 278 of file kineticGasEvaporation.H.

◆ includeDivU()

virtual bool includeDivU ( ) const

inlinevirtualnoexcept

Reimplemented from interfaceCompositionModel.

Definition at line 285 of file kineticGasEvaporation.H.

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

src/phaseSystemModels/multiphaseInter/phasesSystem/massTransferModels/kineticGasEvaporation/kineticGasEvaporation.H
src/phaseSystemModels/multiphaseInter/phasesSystem/massTransferModels/kineticGasEvaporation/kineticGasEvaporation.C

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()

◆ KSp()

◆ KSu()

◆ Tactivate()

◆ includeDivU()

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