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March 18, 2014, 10:38 
Adding Boussinesq Approximation to multiphaseEulerFoam?

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New Member
Dominik Schmidt
Join Date: Mar 2014
Posts: 11
Rep Power: 3 
Hello,
I'm quite new to openFoam, but I'm trying to implement the Boussinesq approximation into the multiphaseEulerFoam Solver (OF 2.2.x). My first step was to add a simple temperatureequation for the hole system, including the calculation of rhok, as in other Boussinesq solvers. TEqn.H: Code:
fvScalarMatrix TEqn ( fvm::ddt(T) + fvm::div(phi, T)  fvm::laplacian(DT, T) ); TEqn.relax(); TEqn.solve(); rhok = 1.0  beta*(T  TRef); pEqn.H  lines 8589 Code:
phiHbyAs[phasei] += rAlphaAUfs[phasei] *( fluid.surfaceTension(phase)*mesh.magSf()/phase.rho() + /*(g & mesh.Sf())*/ fvc::interpolate(rhok)*(g & mesh.Sf())/phase.rho() ); pEqn.H  lines 235241 Code:
phase.U() = HbyAs[phasei] + fvc::reconstruct ( rAlphaAUfs[phasei]*/*(g & mesh.Sf())*/ fvc::interpolate(rhok)*(g & mesh.Sf())/phase.rho() + rAlphaAUfs[phasei]*mSfGradp/phase.rho() ); So my first question is, if this implementation makes sense or am I missing something important? I also made some modifications to TEqn based on Cryogenics, compressible multiphase and heat transfer solver Code:
{ volScalarField rhoCp = fluid.rho()*fluid.Cp(); surfaceScalarField kByCpf = fvc::interpolate(fluid.kappa()/rhoCp + sgsModel>nut()/fluid.Prt()); fvScalarMatrix TEqn ( fvm::ddt(T) + fvm::div(phi, T)  fvm::laplacian(kByCpf, T) ); TEqn.relax(); TEqn.solve(); rhok = 1.0  beta*(T  TRef); } left: buoyantBoussinesqPimpleFoam  right: multiphaseEulerFoamBoussinesq boussinesqSmall.jpg Setup: Fluid: Air (rho: 1.205; beta: 3.43e03; Pr/Prt 0.71, nu: 15.11e6; Cp: 1.005, kappa(multiphase): 0.0257) T_left: 303 K T_right: 283 K TRef: 293 K I believe/hope the reason can be found in the different TEqnimplementations, rather then in the PEqn, but would be glad if someone could support this assumption, and suggests an easy way to validate the multiphaseBoussinesqversion. My first idea would be to edit the TEqn of PimpleBoussinesq Solver so it matches the TEqn with fixed diffusion coeff. (DT) and compare the results with the modified multiphaseSolver. \\EDIT: After implementing the same TEqn in both solvers I couldn't see much difference. Then I remembered that multiphaseEulerFoam always has a residual phase fraction for overcoming the problems with nonphase intensive handling of the momentum equations. So I edited the transport properties for the second phase (alpha uniform 0) to match the ones of the "alpha uniform 1" phase (air). After that the temperature distribution looks more like the one with buoyantBoussinesqPimpleFoam, but the velocities are still lower with the modified multiphaseSolver. So the differences seem to be related to the fact, that multiphaseEulerFoam is not designed for dealing with a single phase system ? Thanks ! Last edited by dschmidt; March 19, 2014 at 05:36. 

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