LaakkonenAlopaeusAittamaaDsd.H

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Class
    Foam::diameterModels::daughterSizeDistributionModels::
    LaakkonenAlopaeusAittamaaDsd
 
Description
    Daughter size distribution model used by Laakkonen et al. (2006). Note that
    it must be multiplied by the number of daughter particles (2). Also, the
    coefficient C4 needs to be set to the value of 2 as to ensure number and
    mass conservation following Kumar and Ramkrishna (1996). Also the internal
    coordinate was changed to particle volume, which gives
 
    \f[
        \frac{60}{v_j} \left(\frac{v_i}{v_j}\right)^{2}
        \left(1 - \frac{v_i}{v_j}\right)^{2}
    \f]
 
    where
 
    \vartable
        v_i         |  Volume of daughter bubble i [m]
        v_j         |  Volume of mother bubble j [m]
    \endvartable
 
    References:
    \verbatim
        Laakkonen, M., Alopaeus, V., & Aittamaa, J. (2006).
        Validation of bubble breakage, coalescence and mass transfer models for
        gas-liquid dispersion in agitated vessel.
        Chemical engineering science, 61(1), 218-228.
        Eq. 3, p. 220.
    \endverbatim
 
    \verbatim
        Kumar, S., & Ramkrishna, D. (1996).
        On the solution of population balance equations by discretization-I.
        A fixed pivot technique.
        Chemical Engineering Science, 51(8), 1311-1332.
        Eq. 33, p. 1318.
    \endverbatim
 
Usage
    \table
        Property     | Description             | Required    | Default value
        C1           | Coefficient C1          | no          | 6.0
        C2           | Coefficient C2          | no          | 0.04
        C3           | Coefficient C3          | no          | 0.01
    \endtable
 
SourceFiles
    LaakkonenAlopaeusAittamaaBinaryBreakup.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef LaakkonenAlopaeusAittamaaDsd_H
#define LaakkonenAlopaeusAittamaaDsd_H
 
#include "daughterSizeDistributionModel.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace diameterModels
{
namespace daughterSizeDistributionModels
{
 
/*---------------------------------------------------------------------------*\
                      Class LaakkonenAlopaeusAittamaaDsd Declaration
\*---------------------------------------------------------------------------*/
 
class LaakkonenAlopaeusAittamaaDsd
:
    public daughterSizeDistributionModel
{
public:
 
    //- Runtime type information
    TypeName("LaakkonenAlopaeusAittamaa");
 
 
    // Constructor
 
        LaakkonenAlopaeusAittamaaDsd
        (
            const breakupModel& breakup,
            const dictionary& dict
        );
 
 
    //- Destructor
    virtual ~LaakkonenAlopaeusAittamaaDsd();
 
 
    // Member Functions
 
        //- Return total number of particles assigned to class i when a particle
        //  of class k breaks
        virtual dimensionedScalar calcNik(const label i, const label k) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace daughterSizeDistributionModels
} // End namespace diameterModels
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //