LehrMilliesMewes.H

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Class
    Foam::populationBalance::breakupModels::LehrMilliesMewes
 
Description
    Model of Lehr et al. (2002). The breakup rate is calculated by
 
    \f[
        0.5 d_j^{*^{5/3}} \mathrm{exp}\left(-\frac{\sqrt{2}}{d_j^{*^{3}}}\right)
        \frac{6}{\pi^{3/2}d_i^{*^{3}}}
        \mathrm{exp}
        \left(
          - \frac{9}{4}\left[\mathrm{ln}\left(2^{2/5} d_i^{*}\right)\right]^{2}
        \right)
        \left(
            1
          + \mathrm{erf}
            \left[
                \frac{3}{2}\mathrm{ln} \left(2^{1/15} d_j^{*}\right)
            \right]
        \right)^{-1}
        \frac{1}{L^{3}T}
    \f]
 
    with the time scale
 
    \f[
        T = \left(\frac{\sigma}{\rho_c}\right)^{2/5} \frac{1}{\epsilon_c^{3/5}}
    \f]
 
    the dimensionless diameter
 
    \f[
        d^{*} = \frac{d}{L}
    \f]
 
    and the length scale
 
    \f[
        L = \left(\frac{\sigma}{\rho_c}\right)^{3/5} \frac{1}{\epsilon_c^{2/5}}
    \f]
 
    \vartable
        \rho_c          |  Density of continuous phase [kg/m^3]
        \sigma          |  Surface tension [N/m]
        \epsilon_c      |  Continuous phase turbulent dissipation rate [m^2/s^3]
        d_i             |  Diameter of daughter bubble i [m]
        d_j             |  Diameter of mother bubble j [m]
    \endvartable
 
    References:
    \verbatim
        Lehr, F., Millies, M., & Mewes, D. (2002).
        Bubble‐size distributions and flow fields in bubble columns.
        AIChE Journal, 48(11), 2426-2443.
        Eq. 12-16, p. 2429-2430.
    \endverbatim
 
SourceFiles
    LehrMilliesMewes.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef LehrMilliesMewes_H
#define LehrMilliesMewes_H
 
#include "binary.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace populationBalance
{
namespace breakupModels
{
 
/*---------------------------------------------------------------------------*\
                      Class LehrMilliesMewes Declaration
\*---------------------------------------------------------------------------*/
 
class LehrMilliesMewes
:
    public binary
{
public:
 
    //- Runtime type information
    TypeName("LehrMilliesMewes");
 
 
    // Constructor
 
        LehrMilliesMewes
        (
            const populationBalanceModel& popBal,
            const dictionary& dict
        );
 
 
    //- Destructor
    virtual ~LehrMilliesMewes()
    {}
 
 
    // Member Functions
 
        //- Return the breakup rate between two groups
        virtual tmp<volScalarField::Internal> rate
        (
            const label i,
            const label j
        ) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace breakupModels
} // End namespace populationBalance
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //