Laakkonen.H

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Class
    Foam::populationBalance::breakupModels::Laakkonen
 
Description
    Model of Laakkonen et al. (2007). The total breakup rate is calculated by
 
    \f[
        C_1 \epsilon_c^{1/3}
        \mathrm{erfc}
        \left(
            \sqrt
            {
                C_2 \frac{\sigma}{\rho_c \epsilon_c^{2/3} (6v_i/\pi)^{5/9}}
              + C_3 \frac{\mu_c}{\sqrt{\rho_c \rho_d}
                \epsilon_c^{1/3} (6v_i/\pi)^{4/9}}
            }
        \right)
    \f]
 
    where
 
    \vartable
        \sigma      |  Surface tension [N/m]
        v_i         |  Volume of mother bubble i [m3]
        \epsilon_c  |  Turbulent dissipation rate of continuous phase [m^2/s^3]
        \mu_c       |  Molecular dynamic viscosity of liquid phase [Pa s]
        \rho_c      |  Density of continuous phase [kg/m^3]
        \rho_d      |  Density of disperse phase [kg/m^3]
    \endvartable
 
    References:
    \verbatim
        Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. (2007).
        Modelling local bubble size distributions in agitated vessels.
        Chemical Engineering Science, 62, 721–740.
    \endverbatim
 
Usage
    \table
        Property     | Description             | Required    | Default value
        C1           | coefficient C1          | no          | 2.25
        C2           | coefficient C2          | no          | 0.04
        C3           | coefficient C3          | no          | 0.01
        daughterSizeDistributionModel | inh. from breakupModel | inherited |
    \endtable
 
SourceFiles
    Laakkonen.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef Laakkonen_H
#define Laakkonen_H
 
#include "daughterSizeDistribution.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace populationBalance
{
namespace breakupModels
{
 
/*---------------------------------------------------------------------------*\
                          Class Laakkonen Declaration
\*---------------------------------------------------------------------------*/
 
class Laakkonen
:
    public daughterSizeDistribution
{
    // Private Data
 
        //- Optional coefficient C1, defaults to 2.25
        dimensionedScalar C1_;
 
        //- Optional coefficient C2, defaults to 0.04
        dimensionedScalar C2_;
 
        //- Optional coefficient C3, defaults to 0.01
        dimensionedScalar C3_;
 
 
public:
 
    //- Runtime type information
    TypeName("Laakkonen");
 
    // Constructor
 
        Laakkonen
        (
            const populationBalanceModel& popBal,
            const dictionary& dict
        );
 
 
    //- Destructor
    virtual ~Laakkonen()
    {}
 
 
    // 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
 
// ************************************************************************* //