WLFTransport.H

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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.
 
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    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 <http://www.gnu.org/licenses/>.
 
Class
    Foam::WLFTransport
 
Description
    Transport package using the Williams-Landel-Ferry model for viscosity of
    polymer melts:
 
    \verbatim
        mu = mu0*exp(-C1*(T - Tr)/(C2 + T - Tr))
    \endverbatim
 
    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
 
    The thermal conductivity is obtained using a constant Prandtl number.
 
Usage
    \table
        Property     | Description
        mu0          | Reference dynamic viscosity [Pa.s]
        Tref         | Reference temperature [K]
        C1           | WLF constant []
        C2           | WLF constant [K]
        Pr           | Constant Prandtl number []
    \endtable
 
    Example specification of WLFTransport for a polymer:
    \verbatim
    transport
    {
        mu0         50000;
        Tr          416;
        C1          20.4;
        C2          101.6;
        Pr          10000;
    }
    \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 from components
        inline WLFTransport
        (
            const Thermo& t,
            const scalar mu0,
            const scalar Tr,
            const scalar C1,
            const scalar C2,
            const scalar Pr
        );
 
        //- Construct as named copy
        inline WLFTransport(const word&, const WLFTransport&);
 
        //- Construct from name and dictionary
        WLFTransport(const word& name, const dictionary& dict);
 
        //- Construct and return a clone
        inline autoPtr<WLFTransport> clone() const;
 
 
    // Member Functions
 
        //- Return the instantiated type name
        static word typeName()
        {
            return "WLF<" + Thermo::typeName() + '>';
        }
 
        //- Dynamic viscosity [kg/m/s]
        inline scalar mu(const scalar p, const scalar T) const;
 
        //- Thermal conductivity [W/m/K]
        inline scalar kappa(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 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
 
// ************************************************************************* //