thermalconductivitysomerton3p.hh

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#ifndef DUMUX_MATERIAL_THERMALCONDUCTIVITY_SOMERTON_3P_HH
#define DUMUX_MATERIAL_THERMALCONDUCTIVITY_SOMERTON_3P_HH
 
#include <algorithm>
#include <cmath>
 
namespace Dumux {

template<class Scalar>
class ThermalConductivitySomerton
{
public:
    template<class VolumeVariables>
    static Scalar effectiveThermalConductivity(const VolumeVariables& volVars)
    {
        using FluidSystem = typename VolumeVariables::FluidSystem;
 
        const Scalar sw = volVars.saturation(FluidSystem::wPhaseIdx);
        const Scalar sn = volVars.saturation(FluidSystem::nPhaseIdx);
        const Scalar lambdaW = volVars.fluidThermalConductivity(FluidSystem::wPhaseIdx);
        const Scalar lambdaN = volVars.fluidThermalConductivity(FluidSystem::nPhaseIdx);
        const Scalar lambdaG = volVars.fluidThermalConductivity(FluidSystem::gPhaseIdx);
        const Scalar lambdaSolid = volVars.solidThermalConductivity();
        const Scalar porosity = volVars.porosity();
 
        return effectiveThermalConductivity(sw, sn, lambdaW, lambdaN, lambdaG, lambdaSolid, porosity);
    }

    static Scalar effectiveThermalConductivity(const Scalar sw,
                                               const Scalar sn,
                                               const Scalar lambdaW,
                                               const Scalar lambdaN,
                                               const Scalar lambdaG,
                                               const Scalar lambdaSolid,
                                               const Scalar porosity)
    {
        using std::max;
        using std::pow;
        using std::sqrt;
        const Scalar satW = max<Scalar>(0.0, sw);
        const Scalar satN = max<Scalar>(0.0, sn);
 
        // porosity weighted geometric mean
        const Scalar lSw = pow(lambdaSolid, (1.0 - porosity)) * pow(lambdaW, porosity);
        const Scalar lSn = pow(lambdaSolid, (1.0 - porosity)) * pow(lambdaN, porosity);
        const Scalar lSg = pow(lambdaSolid, (1.0 - porosity)) * pow(lambdaG, porosity);
        const Scalar lambdaEff = lSg + sqrt(satW) * (lSw - lSg) + sqrt(satN) * (lSn -lSg);
 
        return lambdaEff;
 
    }
};
} // end namespace Dumux
#endif