/*---------------------------------------------------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Copyright (C) 2024-2026 OpenFOAM Foundation \\/ M anipulation | ------------------------------------------------------------------------------- License This file is part of OpenFOAM. OpenFOAM is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. OpenFOAM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with OpenFOAM. If not, see . \*---------------------------------------------------------------------------*/ #include "wallBoiling.H" #include "multiphaseEuler.H" #include "fluidThermophysicalTransportModel.H" #include "partitioningModel.H" #include "nucleationSiteModel.H" #include "departureDiameterModel.H" #include "departureFrequencyModel.H" #include "alphatPhaseChangeWallFunctionFvPatchScalarField.H" #include "alphatJayatillekeWallFunctionFvPatchScalarField.H" #include "wallBoilingPhaseChangeRateFvPatchScalarField.H" #include "zeroGradientFvPatchFields.H" #include "addToRunTimeSelectionTable.H" /*---------------------------------------------------------------------------*\ Class wallBoiling::laggedProperties Declaration \*---------------------------------------------------------------------------*/ struct Foam::fv::wallBoiling::laggedProperties { //- Typedef to shorten the name of the Jayatilleke wall function typedef compressible::alphatJayatillekeWallFunctionFvPatchScalarField alphatJayatillekeWallFunction; //- Wall function field const wallBoiling& model; //- Patch index const label patchi; //- Liquid volume fraction const scalarField& alphaLiquid; //- Vapour volume fraction const scalarField& alphaVapour; //- Liquid thermophysical transport model const fluidThermophysicalTransportModel& ttmLiquid; //- Vapour thermophysical transport model const fluidThermophysicalTransportModel& ttmVapour; //- Liquid convective turbulent thermal diffusivity const scalarField alphatConvLiquid; //- Phase convective turbulent thermal diffusivity const scalarField alphatConvVapour; //- Patch area by neighbouring cell volume ratio const scalarField AbyV; //- Liquid density private: const tmp trhoLiquid; public: const scalarField& rhoLiquid; //- Vapour density private: const tmp trhoVapour; public: const scalarField& rhoVapour; //- Liquid heat capacity const scalarField& CpLiquid; //- Liquid laminar kinematic viscosity private: const tmp tnuLiquid; public: const scalarField& nuLiquid; //- Liquid laminar thermal diffusivity const scalarField kappaByCpLiquid; //- Liquid viscosity wall function const nutWallFunctionFvPatchScalarField& nutLiquid; //- Dimensionless wall distance const scalarField yPlusLiquid; //- Smoothing function const scalarField P; //- Cell temperature const scalarField TcLiquid; //- Saturation temperature const scalarField Tsat; //- Latent heat const scalarField L; //- Patch inline const fvPatch& patch() const { return model.mesh().boundary()[patchi]; } //- Constructor laggedProperties ( const wallBoiling& model, const label patchi ) : model(model), patchi(patchi), alphaLiquid(model.liquid_.boundaryField()[patchi]), alphaVapour(model.vapour_.boundaryField()[patchi]), ttmLiquid ( model.mesh().lookupType ( model.liquid_.name() ) ), ttmVapour ( model.mesh().lookupType ( model.vapour_.name() ) ), alphatConvLiquid ( alphatJayatillekeWallFunction::alphat(ttmLiquid, model.Prt_, patchi) ), alphatConvVapour ( alphatJayatillekeWallFunction::alphat(ttmVapour, model.Prt_, patchi) ), AbyV ( patch().magSf() /scalarField ( patch().mesh().V(), patch().faceCells() ) ), trhoLiquid(model.liquid_.thermo().rho(patchi)), rhoLiquid(trhoLiquid()), trhoVapour(model.vapour_.thermo().rho(patchi)), rhoVapour(trhoVapour()), CpLiquid(model.liquid_.thermo().Cp().boundaryField()[patchi]), tnuLiquid(model.liquid_.fluidThermo().nu(patchi)), nuLiquid(tnuLiquid()), kappaByCpLiquid ( model.liquid_.thermo().kappa().boundaryField()[patchi]/CpLiquid ), nutLiquid ( nutWallFunctionFvPatchScalarField::nutw ( ttmLiquid.momentumTransport(), patchi ) ), yPlusLiquid ( pow025(nutLiquid.Cmu()) *sqrt(ttmLiquid.momentumTransport().k()().boundaryField()[patchi]) *ttmLiquid.momentumTransport().yb()[patchi] /nuLiquid ), P ( alphatJayatillekeWallFunction::P ( rhoLiquid*nuLiquid/kappaByCpLiquid/model.Prt_ ) ), TcLiquid ( model.liquid_.thermo().T().boundaryField()[patchi] .patchInternalField() ), Tsat ( model.Tsat_->value ( model.liquid_.fluidThermo().p().boundaryField()[patchi] ) ), L ( model.L ( patchi, model.liquid_.thermo().T().boundaryField()[patchi] ) ) {} }; // * * * * * * * * * * * * * Static Member Functions * * * * * * * * * * * * // namespace Foam { namespace fv { defineTypeNameAndDebug(wallBoiling, 0); addToRunTimeSelectionTable(fvModel, wallBoiling, dictionary); } } // * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * // void Foam::fv::wallBoiling::readCoeffs(const dictionary& dict) { reReadSpecie(dict); Tsat_.reset ( Function1::New ( "saturationTemperature", {dimPressure, dimTemperature}, dict ).ptr() ); partitioningModel_.reset ( wallBoilingModels::partitioningModel::New ( dict.subDict("partitioningModel") ).ptr() ); nucleationSiteModel_.reset ( wallBoilingModels::nucleationSiteModel::New ( dict.subDict("nucleationSiteModel") ).ptr() ); departureDiameterModel_.reset ( wallBoilingModels::departureDiameterModel::New ( dict.subDict("departureDiameterModel") ).ptr() ); departureFrequencyModel_.reset ( wallBoilingModels::departureFrequencyModel::New ( dict.subDict("departureFrequencyModel") ).ptr() ); tolerance_ = dict.lookupOrDefault("tolerance", units::unitless, rootSmall); liquidTemperatureWallFunction_ = dict.lookupOrDefault("useLiquidTemperatureWallFunction", true); Prt_ = dict.lookupOrDefault("Prt", dimless, 0.85); bubbleWaitingTimeRatio_ = dict.lookupOrDefault("bubbleWaitingTimeRatio", dimless, 0.8); } const Foam::fvPatchScalarField& Foam::fv::wallBoiling::getLiquidTemperaturePatchField ( const laggedProperties& lagProps, scalarField& isFixed, scalarField& h, scalarField& hTaPlusQa ) const { isFixed.setSize(lagProps.patch().size()); h.setSize(lagProps.patch().size()); hTaPlusQa.setSize(lagProps.patch().size()); const fvPatchScalarField& T = liquid_.thermo().T().boundaryField()[lagProps.patchi]; const fvPatchScalarField& alphat = alphatLiquid_.boundaryField()[lagProps.patchi]; if (isA(T)) { isFixed = 1; h = rootVGreat; hTaPlusQa = rootVGreat*T; } else if (isA(T)) { isFixed = 0; h = 0; hTaPlusQa = 0; } else if (isA(T)) { const fixedGradientFvPatchScalarField& Tfg = refCast(T); isFixed = 0; h = 0; hTaPlusQa = alphat*lagProps.CpLiquid*Tfg.gradient(); } else if (isA(T)) { const mixedFvPatchScalarField& Tm = refCast(T); isFixed = pos(Tm.valueFraction() - 1 + rootSmall); h = Tm.valueFraction() /max(1 - Tm.valueFraction(), rootVSmall) *alphat *lagProps.CpLiquid *lagProps.patch().deltaCoeffs(); hTaPlusQa = h*Tm.refValue() + alphat*lagProps.CpLiquid*Tm.refGrad(); } else { FatalErrorInFunction << "Temperature boundary condition type not recognised" << exit(FatalError); } return T; } Foam::tmp Foam::fv::wallBoiling::calcBoiling ( const laggedProperties& lagProps, const scalarField& TLiquid, const scalarField& wetFraction, scalarField& dDeparture, scalarField& fDeparture, scalarField& nucleationSiteDensity, scalarField& qQuenching, scalarField& qEvaporative, scalarField& mDot ) const { using constant::mathematical::pi; scalarField Tl; if (!liquidTemperatureWallFunction_) { Tl = lagProps.TcLiquid; } else { // Liquid temperature at y+=250 is estimated from the logarithmic // thermal wall function of Koncar, Krepper & Egorov (2005) const scalarField TyPlus250 ( Prt_ *( log(lagProps.nutLiquid.E()*250) /lagProps.nutLiquid.kappa() + lagProps.P ) ); const scalarField TyPlus ( Prt_ *( log ( lagProps.nutLiquid.E() *max(lagProps.yPlusLiquid, scalar(11)) ) /lagProps.nutLiquid.kappa() + lagProps.P ) ); Tl = TLiquid - (TyPlus250/TyPlus)*(TLiquid - lagProps.TcLiquid); } // Bubble departure diameter dDeparture = departureDiameterModel_->dDeparture ( liquid_, vapour_, lagProps.patchi, Tl, lagProps.Tsat, lagProps.L ); // Bubble departure frequency fDeparture = departureFrequencyModel_->fDeparture ( liquid_, vapour_, lagProps.patchi, Tl, lagProps.Tsat, lagProps.L, dDeparture ); // Nucleation site density nucleationSiteDensity = nucleationSiteModel_->nucleationSiteDensity ( liquid_, vapour_, lagProps.patchi, Tl, lagProps.Tsat, lagProps.L, dDeparture, fDeparture ); // Del Valle & Kenning (1985) const scalarField Ja ( lagProps.rhoLiquid *lagProps.CpLiquid *max(lagProps.Tsat - Tl, scalar(0)) /(lagProps.rhoVapour*lagProps.L) ); const scalarField Al ( wetFraction*4.8*exp(min(-Ja/80, log(vGreat))) ); scalarField A2 ( min(pi*sqr(dDeparture)*nucleationSiteDensity*Al/4, scalar(1)) ); const scalarField A1(max(1 - A2, scalar(1e-4))); scalarField A2E ( min(pi*sqr(dDeparture)*nucleationSiteDensity*Al/4, scalar(5)) ); // Volumetric mass source in the near wall cell due to the // wall boiling mDot = (1.0/6.0)*A2E*dDeparture*lagProps.rhoVapour*fDeparture*lagProps.AbyV; // Quenching heat transfer coefficient const scalarField hQ ( 2*lagProps.kappaByCpLiquid*lagProps.CpLiquid*fDeparture *sqrt ( bubbleWaitingTimeRatio_ /max(fDeparture, small) /(pi*lagProps.kappaByCpLiquid/lagProps.rhoLiquid) ) ); // Quenching heat flux qQuenching = A2*hQ*max(TLiquid - Tl, scalar(0)); // Evaporation heat flux qEvaporative = mDot*lagProps.L/lagProps.AbyV; // Return total sum of convective, quenching and evaporative heat fluxes const scalarField gradT ( lagProps.patch().deltaCoeffs() *max(TLiquid - lagProps.TcLiquid, small*lagProps.TcLiquid) ); return A1*lagProps.alphatConvLiquid*lagProps.CpLiquid*gradT + qQuenching + qEvaporative; } Foam::tmp Foam::fv::wallBoiling::calcBoiling ( const wallBoilingPhaseChangeRateFvPatchScalarField& mDot, const laggedProperties& lagProps, const scalarField& TLiquid ) const { scalarField dDeparture(mDot.dDeparture_); scalarField fDeparture(mDot.fDeparture_); scalarField nucleationSiteDensity(mDot.nucleationSiteDensity_); scalarField qQuenching(mDot.qQuenching_); scalarField qEvaporative(mDot.qEvaporative_); scalarField mDotCopy(mDot); return calcBoiling ( lagProps, TLiquid, mDot.wetFraction_, dDeparture, fDeparture, nucleationSiteDensity, qQuenching, qEvaporative, mDotCopy ); } Foam::tmp Foam::fv::wallBoiling::evaluateBoiling ( wallBoilingPhaseChangeRateFvPatchScalarField& mDot, const laggedProperties& lagProps, const scalarField& TLiquid ) const { return calcBoiling ( lagProps, TLiquid, mDot.wetFraction_, mDot.dDeparture_, mDot.fDeparture_, mDot.nucleationSiteDensity_, mDot.qQuenching_, mDot.qEvaporative_, mDot ); } void Foam::fv::wallBoiling::correctMDot() const { Info<< type() << ": " << name() << endl << incrIndent; //- Reset the phase-change rates in all the near-wall cells forAll(mDot_.boundaryField(), patchi) { if (!isPatchActive(patchi)) continue; const labelUList& faceCells = mesh().boundary()[patchi].faceCells(); forAll(faceCells, i) { mDot_[faceCells[i]] = scalar(0); } } // Loop the boiling patches, evaluate the model, and sum the phase change // rates into the adjacent cells forAll(mDot_.boundaryField(), patchi) { if (!isPatchActive(patchi)) continue; // Access the wall-boiling phase-change patch field for this patch wallBoilingPhaseChangeRateFvPatchScalarField& mDot = mDotPfRef(patchi); // Construct lagged properties const laggedProperties lagProps(*this, patchi); // Evaluate the wetted fraction mDot.wetFraction_ = partitioningModel_->wetFraction(lagProps.alphaLiquid); // Set the vapour turbulent thermal diffusivity mDot.alphatVapour_ = (1 - mDot.wetFraction_) /max(1 - lagProps.alphaLiquid, rootSmall) *lagProps.alphatConvVapour; // Get the temperature boundary condition and extract its // physical parameters scalarField TLiquidIsFixed, TLiquidH, TLiquidHTaPlusQa; const fvPatchScalarField& TLiquid = getLiquidTemperaturePatchField ( lagProps, TLiquidIsFixed, TLiquidH, TLiquidHTaPlusQa ); // Define the residual. This should be monotonic in T. auto R = [&](const scalarField& T) { return calcBoiling(mDot, lagProps, T) - TLiquidHTaPlusQa + TLiquidH*T; }; // Solve using interval bisection. Boiling cannot occur below the // saturation temperature, so that is taken to be the lower bound. The // upper bound is harder to define. For now, take twice the current // superheat as the maximum. The solution is likely to be below this // value. If it is not, then the iteration will converge to this upper // limit, creating a new superheat of twice the current value. // Subsequent time-steps will then double this superheat again and // again until it does eventually bound the solution. mDot.boiling_ = neg(R(lagProps.Tsat)); scalarField T0(lagProps.Tsat); scalarField T1 ( max ( TLiquid + (TLiquid - lagProps.Tsat), lagProps.Tsat*(1 + sqrt(tolerance_)) ) ); scalar e = gMax((1 - TLiquidIsFixed)*mDot.boiling_*(T1 - T0)/(T0 + T1)); for (; e > tolerance_; e /= 2) { const scalarField Tm((T0 + T1)/2); const scalarField rM(R(Tm)); T0 = pos(rM)*T0 + neg0(rM)*Tm; T1 = pos(rM)*Tm + neg0(rM)*T1; } const scalarField T ( TLiquidIsFixed*TLiquid + (1 - TLiquidIsFixed)*(T0 + T1)/2 ); // Use solution to re-evaluate the boiling and set the thermal // diffusivity to recover the calculated heat flux const scalarField gradT ( lagProps.patch().deltaCoeffs() *max(T - lagProps.TcLiquid, small*lagProps.TcLiquid) ); const scalarField q(evaluateBoiling(mDot, lagProps, T)); const scalarField alphatBoilingLiquid ( q/lagProps.CpLiquid/gradT/max(lagProps.alphaLiquid, rootSmall) ); mDot.alphatLiquid_= mDot.boiling_*alphatBoilingLiquid + (1 - mDot.boiling_)*lagProps.alphatConvLiquid; infoField ( word("mDot[", mesh().boundary()[patchi].name(), "]"), dimensions::density/dimensions::time, mDot ); // Sum the phase change rate into the internal field const labelUList& faceCells = mesh().boundary()[patchi].faceCells(); forAll(faceCells, i) { mDot_[faceCells[i]] += mDot[i]; } } Info<< decrIndent; } // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * // Foam::fv::wallBoiling::wallBoiling ( const word& name, const word& modelType, const fvMesh& mesh, const dictionary& dict ) : wallPhaseChange ( name, modelType, mesh, dict, readSpecie(coeffs(modelType, dict), false) ), nucleation(), liquid_(phases().first()), vapour_(phases().second()), alphatLiquid_(wallPhaseChange::alphats().first()), alphatVapour_(wallPhaseChange::alphats().second()), p_rgh_ ( mesh().lookupObject(solver::typeName).p_rgh ), tolerance_(NaN), liquidTemperatureWallFunction_(true), Prt_(NaN), bubbleWaitingTimeRatio_(NaN), Tsat_(nullptr), partitioningModel_(nullptr), nucleationSiteModel_(nullptr), departureDiameterModel_(nullptr), departureFrequencyModel_(nullptr), pressureEquationIndex_(-1), mDot_ ( IOobject ( name + ":mDot", mesh.time().name(), mesh, IOobject::READ_IF_PRESENT, IOobject::AUTO_WRITE ), mesh, dimensionedScalar(dimensions::density/dimensions::time, scalar(0)), mDotBoundaryTypes ( wallBoilingPhaseChangeRateFvPatchScalarField::typeName ) ) { readCoeffs(coeffs(dict)); } // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * // const Foam::scalarField& Foam::fv::wallBoiling::active ( const label patchi ) const { return mDotPfRef(patchi).boiling_; } Foam::Pair Foam::fv::wallBoiling::alphats ( const label patchi ) const { return Pair ( mDotPfRef(patchi).alphatLiquid_, mDotPfRef(patchi).alphatVapour_ ); } Foam::tmp Foam::fv::wallBoiling::Lfraction() const { // Put all the latent heat into the liquid return volInternalScalarField::New ( name() + ":Lfraction", mesh(), dimensionedScalar(dimless, scalar(0)) ); } Foam::tmp Foam::fv::wallBoiling::d() const { tmp tdVapour = vapour_.d(); const volInternalScalarField& dVapour = tdVapour(); const volInternalScalarField mask ( neg ( mag(mDot_()) - dimensionedScalar(dimensions::density/dimensions::time, rootVSmall) ) ); tmp td = volInternalScalarField::New(name() + ":d", mask*dVapour); volInternalScalarField& d = td.ref(); forAll(mDot_.boundaryField(), patchi) { if (!isPatchActive(patchi)) continue; // Access the wall-boiling phase-change patch field for this patch const wallBoilingPhaseChangeRateFvPatchScalarField& mDot = mDotPf(patchi); // Average the diameter into the internal field const labelUList& faceCells = mesh().boundary()[patchi].faceCells(); forAll(faceCells, i) { if (mask[faceCells[i]]) continue; d[faceCells[i]] += mDot.dDeparture_[i]*mDot[i]/mDot_[faceCells[i]]; } } return td; } Foam::tmp Foam::fv::wallBoiling::nDot() const { tmp tnDot = volInternalScalarField::New ( name() + ":nDot", mesh(), dimensionedScalar(inv(dimensions::time), scalar(0)) ); volInternalScalarField& nDot = tnDot.ref(); forAll(mDot_.boundaryField(), patchi) { if (!isPatchActive(patchi)) continue; // Access the wall-boiling phase-change patch field for this patch const wallBoilingPhaseChangeRateFvPatchScalarField& mDot = mDotPf(patchi); // Sum the frequency into the internal field const labelUList& faceCells = mesh().boundary()[patchi].faceCells(); forAll(faceCells, i) { nDot[faceCells[i]] += mDot.fDeparture_[i]; } } return tnDot; } Foam::tmp Foam::fv::wallBoiling::tau() const { NotImplemented; return tmp(nullptr); } Foam::tmp Foam::fv::wallBoiling::mDot() const { return mDot_.internalField(); } const Foam::wallBoilingPhaseChangeRateFvPatchScalarField& Foam::fv::wallBoiling::mDotPf(const label patchi) const { if (!isPatchActive(patchi)) { FatalErrorInFunction << "Patch " << mesh().boundary()[patchi].name() << " is not boiling" << exit(FatalError); } return refCast ( mDot_.boundaryField()[patchi] ); } Foam::wallBoilingPhaseChangeRateFvPatchScalarField& Foam::fv::wallBoiling::mDotPfRef(const label patchi) const { if (!isPatchActive(patchi)) { FatalErrorInFunction << "Patch " << mesh().boundary()[patchi].name() << " is not boiling" << exit(FatalError); } return refCast ( mDot_.boundaryFieldRef()[patchi] ); } void Foam::fv::wallBoiling::addSup ( const volScalarField& alpha, const volScalarField& rho, fvMatrix& eqn ) const { // Pressure equation (i.e., continuity, linearised in the pressure) if ( (&alpha == &liquid_ || &alpha == &vapour_) && (&rho == &liquid_.rho() || &rho == &vapour_.rho()) && &eqn.psi() == &p_rgh_ ) { // Ensure that the source is up-to date if this is the first call in // the current phase loop if (pressureEquationIndex_ % 2 == 0) correctMDot(); pressureEquationIndex_ ++; } // Let the base class add the actual source massTransfer::addSup(alpha, rho, eqn); } void Foam::fv::wallBoiling::correct() { // Reset the p_rgh equation solution counter pressureEquationIndex_ = 0; // Correct the total phase change rate correctMDot(); } bool Foam::fv::wallBoiling::read(const dictionary& dict) { if (phaseChange::read(dict)) { readCoeffs(coeffs(dict)); return true; } else { return false; } } // ************************************************************************* //