CoulaloglouTavlarides.H

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Class
    Foam::diameterModels::coalescenceModels::CoulaloglouTavlarides

Description
    Model of Coulaloglou and Tavlarides (1977). The coalescence rate is
    calculated by

    \f[
        C_1 (v_i^{2/3} + v_j^{2/3}) (v_i^{2/9} + v_j^{2/9})^{1/2}
        \frac{\epsilon_c^{1/3}}{1 + \alpha_d}
        \text{exp}
        \left[
          - C_2 \frac{\mu_c \rho_c}{\sigma^2}
            \frac{\epsilon_c}{(1 + \alpha_d)^{3}}
            \left(
                \frac{v_i^{1/3} v_j^{1/3}}{v_i^{1/3} + v_j^{1/3}}
            \right)^{4}
        \right]
    \f]

    where

    \vartable
        \sigma      |  Surface tension [N/m]
        v_i         |  Volume of droplet i [m^3]
        v_j         |  Volume of droplet j [m^3]
        \epsilon_c  |  Turbulent dissipation rate of continuous phase [m^2/s^3]
        \alpha_d    |  Total void fraction of disperse phase [-]
        \mu_c       |  Molecular dynamic viscosity of liquid phase [Pa s]
        \rho_c      |  Density of continuous phase [kg/m^3]
    \endvartable

    References:
    \verbatim
        Coulaloglou, C. A., & Tavlarides, L. L. (1977).
        Description of interaction processes in agitated liquid-liquid
        dispersions.
        Chemical Engineering Science, 32(11), 1289-1297.
        Eq. 37, p. 1294.
    \endverbatim

Usage
    \table
        Property     | Description             | Required    | Default value
        C1           | Coefficient C1          | no          | 2.8
        C2           | Coefficient C2          | no          | 1.83e9
    \endtable

SourceFiles
    CoulaloglouTavlarides.C

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

#ifndef CoulaloglouTavlarides_H
#define CoulaloglouTavlarides_H

#include "coalescenceModel.H"

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

namespace Foam
{
namespace diameterModels
{
namespace coalescenceModels
{

/*---------------------------------------------------------------------------*\
                    Class CoulaloglouTavlarides Declaration
\*---------------------------------------------------------------------------*/

class CoulaloglouTavlarides
:
    public coalescenceModel
{
    // Private Data

        //- Optional coefficient C1, defaults to 2.8
        dimensionedScalar C1_;

        //- Optional coefficient C2, defaults to 1.83e9
        dimensionedScalar C2_;


public:

    //- Runtime type information
    TypeName("CoulaloglouTavlarides");

    // Constructor

        CoulaloglouTavlarides
        (
            const populationBalanceModel& popBal,
            const dictionary& dict
        );


    //- Destructor
    virtual ~CoulaloglouTavlarides()
    {}


    // Member Functions

        //- Add to coalescenceRate
        virtual void addToCoalescenceRate
        (
            volScalarField& coalescenceRate,
            const label i,
            const label j
        );
};


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

} // End namespace coalescenceModels
} // End namespace diameterModels
} // End namespace Foam

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

#endif

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