diff --git a/src/thermophysicalModels/basic/rhoThermo/rhoThermos.C b/src/thermophysicalModels/basic/rhoThermo/rhoThermos.C
index d02a3b4ca9..b66681ab64 100644
--- a/src/thermophysicalModels/basic/rhoThermo/rhoThermos.C
+++ b/src/thermophysicalModels/basic/rhoThermo/rhoThermos.C
@@ -43,6 +43,7 @@ License
#include "constTransport.H"
#include "sutherlandTransport.H"
+#include "WLFTransport.H"
#include "icoPolynomial.H"
#include "hPolynomialThermo.H"
@@ -408,6 +409,18 @@ makeThermos
specie
);
+makeThermos
+(
+ rhoThermo,
+ heRhoThermo,
+ pureMixture,
+ WLFTransport,
+ sensibleInternalEnergy,
+ hConstThermo,
+ rhoConst,
+ specie
+);
+
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
diff --git a/src/thermophysicalModels/specie/transport/WLF/WLFTransport.C b/src/thermophysicalModels/specie/transport/WLF/WLFTransport.C
new file mode 100644
index 0000000000..628600401d
--- /dev/null
+++ b/src/thermophysicalModels/specie/transport/WLF/WLFTransport.C
@@ -0,0 +1,92 @@
+/*---------------------------------------------------------------------------*\
+ ========= |
+ \\ / F ield | OpenFOAM: The Open Source CFD Toolbox
+ \\ / O peration | Website: https://openfoam.org
+ \\ / A nd | Copyright (C) 2018 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 "WLFTransport.H"
+#include "IOstreams.H"
+
+// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
+
+template
+Foam::scalar Foam::WLFTransport::readCoeff
+(
+ const word& coeffName,
+ const dictionary& dict
+)
+{
+ return readScalar(dict.subDict("transport").lookup(coeffName));
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
+
+template
+Foam::WLFTransport::WLFTransport(const dictionary& dict)
+:
+ Thermo(dict),
+ mu0_(readCoeff("mu0", dict)),
+ Tr_(readCoeff("Tr", dict)),
+ C1_(readCoeff("C1", dict)),
+ C2_(readCoeff("C2", dict)),
+ rPr_(1.0/readScalar(dict.subDict("transport").lookup("Pr")))
+{}
+
+
+// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
+
+template
+void Foam::WLFTransport::write(Ostream& os) const
+{
+ os << this->specie::name() << endl
+ << token::BEGIN_BLOCK << incrIndent << nl;
+
+ Thermo::write(os);
+
+ dictionary dict("transport");
+ dict.add("mu0", mu0_);
+ dict.add("Tr", Tr_);
+ dict.add("C1", C1_);
+ dict.add("C2", C2_);
+ dict.add("Pr", 1.0/rPr_);
+
+ os << indent << dict.dictName() << dict
+ << decrIndent << token::END_BLOCK << nl;
+}
+
+
+// * * * * * * * * * * * * * * * IOstream Operators * * * * * * * * * * * * //
+
+template
+Foam::Ostream& Foam::operator<<
+(
+ Ostream& os,
+ const WLFTransport& wlft
+)
+{
+ wlft.write(os);
+ return os;
+}
+
+
+// ************************************************************************* //
diff --git a/src/thermophysicalModels/specie/transport/WLF/WLFTransport.H b/src/thermophysicalModels/specie/transport/WLF/WLFTransport.H
new file mode 100644
index 0000000000..d267b5a2be
--- /dev/null
+++ b/src/thermophysicalModels/specie/transport/WLF/WLFTransport.H
@@ -0,0 +1,210 @@
+/*---------------------------------------------------------------------------*\
+ ========= |
+ \\ / F ield | OpenFOAM: The Open Source CFD Toolbox
+ \\ / O peration | Website: https://openfoam.org
+ \\ / A nd | Copyright (C) 2018 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 .
+
+Class
+ Foam::WLFTransport
+
+Description
+ Transport package using the Williams-Landel-Ferry model.
+
+ Templated into a given thermodynamics package (needed for thermal
+ conductivity).
+
+ Dynamic viscosity [kg/m.s]
+ \f[
+ \mu = \mu_0 \exp \left(\frac{-C_1 ( T - T_r )}{C_2 + T - T_r}\right)
+ \f]
+
+ References:
+ \verbatim
+ Williams, M. L., Landel, R. F., & Ferry, J. D. (1955).
+ The temperature dependence of relaxation mechanisms
+ in amorphous polymers and other glass-forming liquids.
+ Journal of the American Chemical society, 77(14), 3701-3707.
+ \endverbatim
+
+SourceFiles
+ WLFTransportI.H
+ WLFTransport.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef WLFTransport_H
+#define WLFTransport_H
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+// Forward declaration of friend functions and operators
+
+template class WLFTransport;
+
+template
+inline WLFTransport operator+
+(
+ const WLFTransport&,
+ const WLFTransport&
+);
+
+template
+inline WLFTransport operator*
+(
+ const scalar,
+ const WLFTransport&
+);
+
+template
+Ostream& operator<<
+(
+ Ostream&,
+ const WLFTransport&
+);
+
+
+/*---------------------------------------------------------------------------*\
+ Class WLFTransport Declaration
+\*---------------------------------------------------------------------------*/
+
+template
+class WLFTransport
+:
+ public Thermo
+{
+ // Private data
+
+ //- Dynamic viscosity at the reference temperature [Pa.s]
+ scalar mu0_;
+
+ //- Reference temperature [T]
+ scalar Tr_;
+
+ //- WLF coefficient 1 []
+ scalar C1_;
+
+ //- WLF coefficient 2 [T]
+ scalar C2_;
+
+ //- Reciprocal Prandtl Number []
+ scalar rPr_;
+
+
+ // Private Member Functions
+
+ //- Read coefficient from dictionary
+ scalar readCoeff(const word& coeffName, const dictionary& dict);
+
+
+public:
+
+ // Constructors
+
+ //- Construct as named copy
+ inline WLFTransport(const word&, const WLFTransport&);
+
+ //- Construct from dictionary
+ WLFTransport(const dictionary& dict);
+
+ //- Construct and return a clone
+ inline autoPtr clone() const;
+
+ // Selector from dictionary
+ inline static autoPtr New(const dictionary& dict);
+
+
+ // Member functions
+
+ //- Return the instantiated type name
+ static word typeName()
+ {
+ return "WLF<" + Thermo::typeName() + '>';
+ }
+
+ //- Dynamic viscosity [kg/ms]
+ inline scalar mu(const scalar p, const scalar T) const;
+
+ //- Thermal conductivity [W/mK]
+ inline scalar kappa(const scalar p, const scalar T) const;
+
+ //- Thermal diffusivity of enthalpy [kg/ms]
+ inline scalar alphah(const scalar p, const scalar T) const;
+
+ // Species diffusivity
+ // inline scalar D(const scalar p, const scalar T) const;
+
+ //- Write to Ostream
+ void write(Ostream& os) const;
+
+
+ // Member operators
+
+ inline void operator=(const WLFTransport&);
+
+ inline void operator+=(const WLFTransport&);
+
+ inline void operator*=(const scalar);
+
+
+ // Friend operators
+
+ friend WLFTransport operator+
+ (
+ const WLFTransport&,
+ const WLFTransport&
+ );
+
+ friend WLFTransport operator*
+ (
+ const scalar,
+ const WLFTransport&
+ );
+
+
+ // Ostream Operator
+
+ friend Ostream& operator<<
+ (
+ Ostream&,
+ const WLFTransport&
+ );
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "WLFTransportI.H"
+
+#ifdef NoRepository
+ #include "WLFTransport.C"
+#endif
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //
diff --git a/src/thermophysicalModels/specie/transport/WLF/WLFTransportI.H b/src/thermophysicalModels/specie/transport/WLF/WLFTransportI.H
new file mode 100644
index 0000000000..1a758b87ca
--- /dev/null
+++ b/src/thermophysicalModels/specie/transport/WLF/WLFTransportI.H
@@ -0,0 +1,222 @@
+/*---------------------------------------------------------------------------*\
+ ========= |
+ \\ / F ield | OpenFOAM: The Open Source CFD Toolbox
+ \\ / O peration | Website: https://openfoam.org
+ \\ / A nd | Copyright (C) 2018 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 "specie.H"
+
+// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
+
+template
+inline Foam::WLFTransport::WLFTransport
+(
+ const word& name,
+ const WLFTransport& wlft
+)
+:
+ Thermo(name, wlft),
+ mu0_(wlft.mu0_),
+ Tr_(wlft.Tr_),
+ C1_(wlft.C1_),
+ C2_(wlft.C2_),
+ rPr_(wlft.rPr_)
+{}
+
+
+template
+inline Foam::autoPtr>
+Foam::WLFTransport::clone() const
+{
+ return autoPtr>
+ (
+ new WLFTransport(*this)
+ );
+}
+
+
+template
+inline Foam::autoPtr>
+Foam::WLFTransport::New
+(
+ const dictionary& dict
+)
+{
+ return autoPtr>
+ (
+ new WLFTransport(dict)
+ );
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
+
+template
+inline Foam::scalar Foam::WLFTransport::mu
+(
+ const scalar p,
+ const scalar T
+) const
+{
+ return mu0_*exp(-C1_*(T - Tr_)/(C2_ + T - Tr_));
+}
+
+
+template
+inline Foam::scalar Foam::WLFTransport::kappa
+(
+ const scalar p, const scalar T
+) const
+{
+ return this->Cp(p, T)*mu(p, T)*rPr_;
+}
+
+
+template
+inline Foam::scalar Foam::WLFTransport::alphah
+(
+ const scalar p,
+ const scalar T
+) const
+{
+
+ return mu(p, T)*rPr_;
+}
+
+
+// * * * * * * * * * * * * * * * Member Operators * * * * * * * * * * * * * //
+
+template
+inline void Foam::WLFTransport::operator=
+(
+ const WLFTransport& wlft
+)
+{
+ Thermo::operator=(wlft);
+
+ mu0_ = wlft.mu0_;
+ Tr_ = wlft.Tr_;
+ C1_ = wlft.C1_;
+ C2_ = wlft.C2_;
+ rPr_ = wlft.rPr_;
+}
+
+
+template
+inline void Foam::WLFTransport::operator+=
+(
+ const WLFTransport& wlft
+)
+{
+ scalar Y1 = this->Y();
+
+ Thermo::operator+=(wlft);
+
+ if (mag(this->Y()) > small)
+ {
+ Y1 /= this->Y();
+ scalar Y2 = wlft.Y()/this->Y();
+
+ mu0_ = Y1*mu0_ + Y2*wlft.mu0_;
+ Tr_ = Y1*Tr_ + Y2*wlft.Tr_;
+ C1_ = Y1*C1_ + Y2*wlft.C1_;
+ C2_ = Y1*C2_ + Y2*wlft.C2_;
+ rPr_ = 1.0/(Y1/rPr_ + Y2/wlft.rPr_);
+ }
+}
+
+
+template
+inline void Foam::WLFTransport::operator*=
+(
+ const scalar s
+)
+{
+ Thermo::operator*=(s);
+}
+
+
+// * * * * * * * * * * * * * * * Friend Operators * * * * * * * * * * * * * //
+
+template
+inline Foam::WLFTransport Foam::operator+
+(
+ const WLFTransport& wlft1,
+ const WLFTransport& wlft2
+)
+{
+ Thermo t
+ (
+ static_cast(wlft1) + static_cast(wlft2)
+ );
+
+ if (mag(t.Y()) < small)
+ {
+ return WLFTransport
+ (
+ t,
+ 0,
+ wlft1.mu0_,
+ wlft1.Tr_,
+ wlft1.C1_,
+ wlft1.C2_,
+ wlft1.rPr_
+ );
+ }
+ else
+ {
+ scalar Y1 = wlft1.Y()/t.Y();
+ scalar Y2 = wlft2.Y()/t.Y();
+
+ return WLFTransport
+ (
+ t,
+ Y1*wlft1.mu0_ + Y2*wlft2.mu0_,
+ Y1*wlft1.Tr_ + Y2*wlft2.Tr_,
+ Y1*wlft1.C1_ + Y2*wlft2.C1_,
+ Y1*wlft1.C2_ + Y2*wlft2.C2_,
+ 1.0/(Y1/wlft1.rPr_ + Y2/wlft2.rPr_)
+ );
+ }
+}
+
+
+template
+inline Foam::WLFTransport Foam::operator*
+(
+ const scalar s,
+ const WLFTransport& wlft
+)
+{
+ return WLFTransport
+ (
+ s*static_cast(wlft),
+ wlft.mu0_,
+ wlft.Tr_,
+ wlft.C1_,
+ wlft.C2_,
+ 1.0/wlft.rPr_
+ );
+}
+
+
+// ************************************************************************* //