Kusters.H

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Class
    Foam::populationBalance::breakupModels::Kusters
 
Description
    Solid particle breakage model of Kusters (1991). The breakage rate is
    calculated by
 
    \f[
        \sqrt{\frac{4}{15\pi}}\sqrt{\frac{\epsilon}{\nu}}
        \exp\left(-\frac{\epsilon_{crit}}{\epsilon}\right)
    \f]
 
    \f[
        \epsilon_{crit}=\frac{B}{R_{ci}}
    \f]
 
    \f[
        R_{ci} = 0.5d_{p}\left(\frac{n_i}{k_c}\right)^{1/D_f}
    \f]
 
    \f[
        n_i = \left(\frac{d_i}{d_{p}}\right)^{D_f}
    \f]
 
    where
 
    \vartable
        B               |   Critical force parameter for breakage [m3/s3]
        d_i             |   Diameter of transported particle [m]
        d_{p}           |   Diameter of primary particles [m]
        D_f             |   Fractal dimension of particle [-]
        k_c             |   Constant relative to packing density [-]
        n_i             |   Number of primary particles in agglomerate [-]
        \nu             |   Kinematic viscosity of continuous phase [m2/s]
        \epsilon        |   Continuous phase turbulent dissipation rate [m2/s3]
        \epsilon_{crit} |   Critical turbulent dissipation rate [m2/s3]
    \endvartable
 
    Reference:
    \verbatim
        Kusters, K. A. (1991).
        The influence of turbulence on aggregation of small particles in
        agitated vessels.
        PhD Thesis
    \endverbatim
 
SourceFiles
    Kusters.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef Kusters_H
#define Kusters_H
 
#include "daughterSizeDistribution.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace populationBalance
{
namespace breakupModels
{
 
/*---------------------------------------------------------------------------*\
                           Class Kusters Declaration
\*---------------------------------------------------------------------------*/
 
class Kusters
:
    public daughterSizeDistribution
{
    // Private Data
 
        //- Model coefficient
        dimensionedScalar  B_;
 
        //- Primary particle diameter
        dimensionedScalar dP_;
 
        //- Packing density coefficient
        dimensionedScalar kc_;
 
        //- Fractal dimension
        dimensionedScalar Df_;
 
 
public:
 
    //- Runtime type information
    TypeName("Kusters");
 
    // Constructor
 
        Kusters
        (
            const populationBalanceModel& popBal,
            const dictionary& dict
        );
 
 
    //- Destructor
    virtual ~Kusters()
    {}
 
 
    // Member Functions
 
        //- Return the breakup rate for a group
        virtual tmp<volScalarField::Internal> rate(const label i) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace breakupModels
} // End namespace populationBalance
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //