The interfaceOxideRate is a simple model to calculate the formation rate of oxide inclusions (mDotOxide), which is a local function of the volume fraction of reducing agent (alpha), temperature (T) and oxide-inclusion density (chi). More...

#include <interfaceOxideRate.H>

Inheritance diagram for interfaceOxideRate< Thermo, OtherThermo >:

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Collaboration diagram for interfaceOxideRate< Thermo, OtherThermo >:

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Public Member Functions
	TypeName ("interfaceOxideRate")
	Runtime type information.
	interfaceOxideRate (const dictionary &dict, const phasePair &pair)
	Construct from components.
virtual	~interfaceOxideRate ()=default
	Destructor.
virtual tmp< volScalarField >	Kexp (const volScalarField &field)
	Explicit total mass transfer coefficient.
virtual tmp< volScalarField >	KSp (label modelVariable, const volScalarField &field)
	Implicit mass transfer coefficient.
virtual tmp< volScalarField >	KSu (label modelVariable, const volScalarField &field)
	Explicit mass transfer coefficient.
virtual const dimensionedScalar &	Tactivate () const noexcept
	Return solidus temperature of reducing agent.
virtual bool	includeDivU () const noexcept
	Add/subtract alpha*div(U) as a source term for alpha, substituting div(U) = mDot(1/rho1 - 1/rho2).
Public Member Functions inherited from InterfaceCompositionModel< Thermo, OtherThermo >
	InterfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from components.
virtual	~InterfaceCompositionModel ()=default
	Destructor.
virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const
	Mass fraction difference between the interface and the field.
virtual tmp< volScalarField >	Yf (const word &speciesName, const volScalarField &Tf) const
	Reference mass fraction for species based models.
virtual tmp< volScalarField >	Dfrom (const word &speciesName) const
	Specie mass diffusivity for pure mixture.
virtual tmp< volScalarField >	Dto (const word &speciesName) const
	Specie mass diffusivity for specie in a multicomponent.
virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const
	Latent heat (to - from)(thermo - otherThermo).
	InterfaceCompositionModel (const dictionary &dict, const phasePair &pair)
	Construct from components.
	~InterfaceCompositionModel ()=default
	Destructor.
virtual tmp< volScalarField >	dY (const word &speciesName, const volScalarField &Tf) const
	Mass fraction difference between the interface and the field.
virtual tmp< volScalarField >	D (const word &speciesName) const
	Mass diffusivity.
virtual tmp< volScalarField >	L (const word &speciesName, const volScalarField &Tf) const
	Latent heat.
virtual void	addMDotL (const volScalarField &K, const volScalarField &Tf, volScalarField &mDotL, volScalarField &mDotLPrime) const
	Add latent heat flow rate to total.
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")
	Runtime type information.
	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.
virtual	~interfaceCompositionModel ()=default
	Destructor.
const word	transferSpecie () const
	Return the transferring species name.
const phasePair &	pair () const
	The phase pair.
const multiphaseInterSystem &	fluid () const
	Return the multiphaseInterSystem this interface belongs to.
bool	includeVolChange ()
	Add volume change in pEq.
const word &	variable () const
	Returns the variable on which the model is based.

Additional Inherited Members
Public Types inherited from interfaceCompositionModel
enum	modelVariable { T , P , Y , alpha }
	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)
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.
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.
template<class ThermoType>
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const pureMixture< ThermoType > &thermo) const
	Return mass fraction for a pureMixture equal to one.
template<class ThermoType>
tmp< volScalarField >	getSpecieMassFraction (const word &speciesName, const multiComponentMixture< ThermoType > &thermo) const
	Return mass fraction for speciesName.
template<class ThermoType>
tmp< volScalarField >	MwMixture (const pureMixture< ThermoType > &thermo) const
	Return moleculas weight of the mixture for pureMixture [Kg/mol].
template<class ThermoType>
tmp< volScalarField >	MwMixture (const multiComponentMixture< ThermoType > &) const
	Return moleculas weight of the mixture for multiComponentMixture.
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.
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.
Protected Attributes inherited from InterfaceCompositionModel< Thermo, OtherThermo >
const Thermo &	fromThermo_
	Thermo (from).
const OtherThermo &	toThermo_
	Other Thermo (to).
const dimensionedScalar	Le_
	Lewis number.
const Thermo &	thermo_
	Thermo.
const OtherThermo &	otherThermo_
	Other Thermo.
Protected Attributes inherited from interfaceCompositionModel
modelVariable	modelVariable_
	Enumeration for the model variable.
bool	includeVolChange_
	Add volume change in pEq.
const phasePair &	pair_
	Phase pair.
word	speciesName_
	Names of the transferring specie.
const fvMesh &	mesh_
	Reference to mesh.
Static Protected Attributes inherited from interfaceCompositionModel
static const Enum< modelVariable >	modelVariableNames_
	Selection names for the modelVariable.

Detailed Description

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

The interfaceOxideRate is a simple model to calculate the formation rate of oxide inclusions (mDotOxide), which is a local function of the volume fraction of reducing agent (alpha), temperature (T) and oxide-inclusion density (chi).

The oxide-inclusion formation rate is modelled as follows:

$\‍[ S_\chi = C_\chi S_\alpha S_T S_\rho \‍]$

with

$\‍[ S_\alpha = \alpha (1 - \alpha) \‍]$

$\‍[ S_T = \exp{ 1 - \frac{1}{max(T - T_{solidus}/(T_liquidus - T_solidus), 1e-6)} } \‍]$

$\‍[ S_\rho = max \left(\frac{\chi_{crit} - \chi_{curr}}{\chi_{curr}}, 0\right) \‍]$

where

$S_\chi$	=	Oxide-inclusion formation rate [kg/(m^3 s)]
$C_\chi$	=	Oxide-inclusion formation rate constant [kg/(m^3 s)]
$S_\alpha$	=	Formation factor due to volume fraction of reducing agent [-]
	=	Formation factor due to temperature [-]
$S_\rho$	=	Formation factor due to oxide-inclusion density [-]
$\alpha$	=	Volume fraction of reducing agent [-]
	=	Local temperature [K]
$T_{solidus}$	=	Solidus temperature of reducing agent [K]
$T_{liquidus}$	=	Liquidus temperature of reducing agent [K]
$\chi_{crit}$	=	Critical oxide-inclusion density [kg/m^3]
$\chi_{curr}$	=	Current oxide-inclusion density [kg/m^3]

References:

        Oxide-inclusion model (tag:CSC):
            Cao, L., Sun, F., Chen, T., Tang, Y., & Liao, D. (2018).
            Quantitative prediction of oxide inclusion defects inside
            the casting and on the walls during cast-filling processes.
            International Journal of Heat and Mass Transfer, 119, 614-623.
            DOI:10.1016/j.ijheatmasstransfer.2017.11.127

Usage

Minimal example by using constant/phaseProperties.massTransferModel:

massTransferModel
(
    (liquid to oxide)
    {
        type                interfaceOxideRate;
        C                   <scalar>;
        Tliquidus           <scalar>;
        Tsolidus            <scalar>;
        oxideCrit           <scalar>;
        isoAlpha            <scalar>;
    }
);

where the entries mean:

Property	Description	Type	Reqd	Deflt
`type`	Type name: interfaceOxideRate	word	yes	-
`C`	Oxide-inclusion formation rate constant	scalar	yes	-
`Tliquidus`	Liquidus temperature of reducing agent	scalar	yes	-
`Tsolidus`	Solidus temperature of reducing agent	scalar	yes	-
`oxideCrit`	Critical oxide-inclusion density	scalar	yes	-
`isoAlpha`	Location of the source	scalar	no	0.5

Note

oxideCrit should be determined experimentally (CSC:p. 616).
C should be determined by practical production (CSC:p. 616).

Source files

Definition at line 223 of file interfaceOxideRate.H.

Constructor & Destructor Documentation

◆ interfaceOxideRate()

template<class Thermo, class OtherThermo>

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

Construct from components.

Definition at line 30 of file interfaceOxideRate.C.

References dict, Foam::dimDensity, Foam::dimTemperature, Foam::dimTime, InterfaceCompositionModel< Thermo, OtherThermo >::InterfaceCompositionModel(), interfaceCompositionModel::mesh_, interfaceCompositionModel::pair(), timeName, and Foam::Zero.

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◆ ~interfaceOxideRate()

template<class Thermo, class OtherThermo>

virtual ~interfaceOxideRate ( )

virtualdefault

Destructor.

References field().

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Member Function Documentation

◆ TypeName()

template<class Thermo, class OtherThermo>

TypeName ( "interfaceOxideRate< Thermo, OtherThermo >" )

Runtime type information.

References dict, and interfaceCompositionModel::pair().

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◆ Kexp()

template<class Thermo, class OtherThermo>

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

virtual

Explicit total mass transfer coefficient.

Implements interfaceCompositionModel.

Definition at line 90 of file interfaceOxideRate.C.

References GeometricField< Type, PatchField, GeoMesh >::boundaryField(), Foam::dimDensity, e, Foam::exp(), forAll, Foam::interpolate(), Foam::isA(), Foam::max(), mesh, interfaceCompositionModel::mesh_, GeometricField< scalar, fvPatchField, volMesh >::New(), MeshObject< fvMesh, UpdateableMeshObject, volPointInterpolation >::New(), tmp< T >::New(), IOobjectOption::NO_REGISTER, interfaceCompositionModel::pair(), pp(), tmp< T >::ref(), Foam::refCast(), interfaceCompositionModel::T, and Foam::Zero.

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◆ KSp()

template<class Thermo, class OtherThermo>

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

virtual

Implicit mass transfer coefficient.

Implements interfaceCompositionModel.

Definition at line 174 of file interfaceOxideRate.C.

References interfaceCompositionModel::variable().

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◆ KSu()

template<class Thermo, class OtherThermo>

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

virtual

Explicit mass transfer coefficient.

Implements interfaceCompositionModel.

Definition at line 186 of file interfaceOxideRate.C.

References interfaceCompositionModel::variable().

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◆ Tactivate()

template<class Thermo, class OtherThermo>

virtual const dimensionedScalar & Tactivate ( ) const

inlinevirtualnoexcept

Return solidus temperature of reducing agent.

Implements interfaceCompositionModel.

Definition at line 317 of file interfaceOxideRate.H.

References Foam::noexcept.

◆ includeDivU()

template<class Thermo, class OtherThermo>

virtual bool includeDivU ( ) const

inlinevirtualnoexcept

Add/subtract alpha*div(U) as a source term for alpha, substituting div(U) = mDot(1/rho1 - 1/rho2).

Reimplemented from interfaceCompositionModel.

Definition at line 326 of file interfaceOxideRate.H.

References Foam::noexcept.

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

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ interfaceOxideRate()

◆ ~interfaceOxideRate()

Member Function Documentation

◆ TypeName()

◆ Kexp()

◆ KSp()

◆ KSu()

◆ Tactivate()

◆ includeDivU()