ePowerThermo.H

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License
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Class
    Foam::ePowerThermo

Description
    Internal energy based thermodynamics package using a power function of
    temperature for the constant heat capacity at constant volume which is
    particularly suitable for solids at low temperatures:

    \verbatim
        Cv = c0*pow(T/Tref, n0)
    \endverbatim

Usage
    \table
        Property     | Description
        c0           | Reference heat capacity at constant volume [J/kg/K]
        n0           | Exponent of the power function
        Tref         | Reference temperature [K]
        Hf           | Heat of formation [J/kg]
    \endtable

    Example specification of ePowerThermo:
    \verbatim
    thermodynamics
    {
        c0          230;
        Tref        470;
        n0          3;
        Hf          0;
    }
    \endverbatim

SourceFiles
    ePowerThermoI.H
    ePowerThermo.C

\*---------------------------------------------------------------------------*/

#ifndef ePowerThermo_H
#define ePowerThermo_H

#include "scalar.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

// Forward declaration of friend functions and operators

template<class EquationOfState> class ePowerThermo;

template<class EquationOfState>
inline ePowerThermo<EquationOfState> operator+
(
    const ePowerThermo<EquationOfState>&,
    const ePowerThermo<EquationOfState>&
);

template<class EquationOfState>
inline ePowerThermo<EquationOfState> operator*
(
    const scalar,
    const ePowerThermo<EquationOfState>&
);


template<class EquationOfState>
inline ePowerThermo<EquationOfState> operator==
(
    const ePowerThermo<EquationOfState>&,
    const ePowerThermo<EquationOfState>&
);


template<class EquationOfState>
Ostream& operator<<
(
    Ostream&,
    const ePowerThermo<EquationOfState>&
);


/*---------------------------------------------------------------------------*\
                        Class ePowerThermo Declaration
\*---------------------------------------------------------------------------*/

template<class EquationOfState>
class ePowerThermo
:
    public EquationOfState
{
    // Private Data

        scalar c0_;
        scalar n0_;
        scalar Tref_;
        scalar Hf_;


    // Private Member Functions

        //- Check given temperature is within the range of the fitted coeffs
        inline void checkT(const scalar T) const;

        //- Construct from components
        inline ePowerThermo
        (
            const EquationOfState& st,
            const scalar c0,
            const scalar n0,
            const scalar Tref,
            const scalar Hf
        );


public:

    // Constructors

        //- Construct from dictionary
        ePowerThermo(const dictionary&);

        //- Construct as a named copy
        inline ePowerThermo
        (
            const word&,
            const ePowerThermo&
        );

         //- Construct and return a clone
        inline autoPtr<ePowerThermo> clone() const;

        //- Selector from dictionary
        inline static autoPtr<ePowerThermo> New(const dictionary& dict);


    // Member Functions

        //- Return the instantiated type name
        static word typeName()
        {
            return "ePower<" + EquationOfState::typeName() + '>';
        }

        //- Limit the temperature to be in the range Tlow_ to Thigh_
        inline scalar limit(const scalar T) const;


        // Fundamental properties

            //- Heat capacity at constant volume [J/kg/K]
            inline scalar Cv(const scalar p, const scalar T) const;

            //- Sensible internal energy [J/kg]
            inline scalar Es(const scalar p, const scalar T) const;

            //- Absolute internal energy [J/kg]
            inline scalar Ea(const scalar p, const scalar T) const;

            //- Enthalpy of formation [J/kg]
            inline scalar Hf() const;

            //- Entropy [J/kg/K]
            inline scalar S(const scalar p, const scalar T) const;

            //- Gibbs free energy of the mixture in the standard state [J/kg]
            inline scalar Gstd(const scalar T) const;

            #include "EtoHthermo.H"


        // Derivative term used for Jacobian

            //- Temperature derivative of heat capacity at constant pressure
            inline scalar dCpdT(const scalar p, const scalar T) const;


    // Member Operators

        inline void operator+=(const ePowerThermo&);


    // Friend operators

        friend ePowerThermo operator+ <EquationOfState>
        (
            const ePowerThermo&,
            const ePowerThermo&
        );

        friend ePowerThermo operator* <EquationOfState>
        (
            const scalar,
            const ePowerThermo&
        );


        friend ePowerThermo operator== <EquationOfState>
        (
            const ePowerThermo&,
            const ePowerThermo&
        );


    // Ostream Operator

        friend Ostream& operator<< <EquationOfState>
        (
            Ostream&,
            const ePowerThermo&
        );
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#ifdef NoRepository
    #include "ePowerThermoI.H"
    #include "ePowerThermo.C"
#endif

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#endif

// ************************************************************************* //