WLFTransport.H

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    Copyright (C) 2018 OpenFOAM Foundation
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License
    This file is part of OpenFOAM.
 
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    the Free Software Foundation, either version 3 of the License, or
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    for more details.
 
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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 Thermo> class WLFTransport;
 
template<class Thermo>
inline WLFTransport<Thermo> operator+
(
    const WLFTransport<Thermo>&,
    const WLFTransport<Thermo>&
);
 
template<class Thermo>
inline WLFTransport<Thermo> operator*
(
    const scalar,
    const WLFTransport<Thermo>&
);
 
template<class Thermo>
Ostream& operator<<
(
    Ostream&,
    const WLFTransport<Thermo>&
);
 
 
/*---------------------------------------------------------------------------*\
                    Class WLFTransport Declaration
\*---------------------------------------------------------------------------*/
 
template<class Thermo>
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<WLFTransport> clone() const;
 
        // Selector from dictionary
        inline static autoPtr<WLFTransport> 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+ <Thermo>
        (
            const WLFTransport&,
            const WLFTransport&
        );
 
        friend WLFTransport operator* <Thermo>
        (
            const scalar,
            const WLFTransport&
        );
 
 
    // Ostream Operator
 
        friend Ostream& operator<< <Thermo>
        (
            Ostream&,
            const WLFTransport&
        );
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#include "WLFTransportI.H"
 
#ifdef NoRepository
    #include "WLFTransport.C"
#endif
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //