CoulaloglouTavlarides.H

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Class
    Foam::populationBalance::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 populationBalance
{
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
 
        //- Return the coalescence rate between two groups
        virtual tmp<volScalarField::Internal> rate
        (
            const label i,
            const label j
        ) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace coalescenceModels
} // End namespace populationBalance
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //