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...

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")

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

virtual	~interfaceOxideRate ()=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::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()

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

Definition at line 31 of file interfaceOxideRate.C.

◆ ~interfaceOxideRate()

virtual ~interfaceOxideRate ( )

virtualdefault

Member Function Documentation

◆ TypeName()

TypeName ( "interfaceOxideRate< Thermo, OtherThermo >" )

◆ Kexp()

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

virtual

Implements interfaceCompositionModel.

Definition at line 91 of file interfaceOxideRate.C.

References GeometricField::boundaryField(), Foam::dimDensity, Foam::constant::electromagnetic::e, Foam::exp(), forAll, phasePair::from(), Foam::fac::interpolate(), Foam::max(), mesh, Foam::New(), tmp::ref(), GeometricField::ref(), phaseModel::rho(), T, phasePair::to(), and Foam::Zero.

Here is the call graph for this function:

◆ KSp()

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

virtual

Implements interfaceCompositionModel.

Definition at line 179 of file interfaceOxideRate.C.

◆ KSu()

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

virtual

Implements interfaceCompositionModel.

Definition at line 191 of file interfaceOxideRate.C.

◆ Tactivate()

virtual const dimensionedScalar& Tactivate ( ) const

inlinevirtualnoexcept

Implements interfaceCompositionModel.

Definition at line 291 of file interfaceOxideRate.H.

◆ includeDivU()

virtual bool includeDivU ( ) const

inlinevirtualnoexcept

Reimplemented from interfaceCompositionModel.

Definition at line 298 of file interfaceOxideRate.H.

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

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

Constructor & Destructor Documentation

◆ interfaceOxideRate()

◆ ~interfaceOxideRate()

Member Function Documentation

◆ TypeName()

◆ Kexp()

◆ KSp()

◆ KSu()

◆ Tactivate()

◆ includeDivU()

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