Model of Lehr et al. (2002). The breakup rate is calculated by. More...
Public Member Functions | |
| TypeName ("LehrMilliesMewes") | |
| Runtime type information. More... | |
| LehrMilliesMewes (const populationBalanceModel &popBal, const dictionary &dict) | |
| virtual | ~LehrMilliesMewes () |
| Destructor. More... | |
| virtual tmp< volScalarField::Internal > | rate (const label i, const label j) const |
| Return the breakup rate between two groups. More... | |
 Public Member Functions inherited from binary | |
| virtual | ~binary () |
| Destructor. More... | |
| breakupModel (const populationBalanceModel &popBal, const dictionary &dict) | |
| Inherit constructors. More... | |
| Public Member Functions inherited from breakupModel | |
| TypeName ("breakupModel") | |
| Runtime type information. More... | |
| declareRunTimeSelectionTable (autoPtr, breakupModel, dictionary,(const populationBalanceModel &popBal, const dictionary &dict),(popBal, dict)) | |
| breakupModel (const populationBalanceModel &popBal, const dictionary &dict) | |
| virtual | ~breakupModel () |
| Destructor. More... | |
| const populationBalanceModel & | popBal () const |
| Return reference to the populationBalanceModel. More... | |
| virtual void | precompute () |
| Pre-compute diameter independent expressions. More... | |
Additional Inherited Members | |
| Static Public Member Functions inherited from breakupModel | |
| static autoPtr< breakupModel > | New (const populationBalanceModel &popBal, const dictionary &dict) |
| Protected Attributes inherited from breakupModel | |
| const populationBalanceModel & | popBal_ |
| Reference to the populationBalanceModel. More... | |
Model of Lehr et al. (2002). The breakup rate is calculated by.
![\[ 0.5 d_j^{*^{5/3}} \mathrm{exp}\left(-\frac{\sqrt{2}}{d_j^{*^{3}}}\right) \frac{6}{\pi^{3/2}d_i^{*^{3}}} \mathrm{exp} \left( - \frac{9}{4}\left[\mathrm{ln}\left(2^{2/5} d_i^{*}\right)\right]^{2} \right) \left( 1 + \mathrm{erf} \left[ \frac{3}{2}\mathrm{ln} \left(2^{1/15} d_j^{*}\right) \right] \right)^{-1} \frac{1}{L^{3}T} \]](form_330.png)
with the time scale
![\[ T = \left(\frac{\sigma}{\rho_c}\right)^{2/5} \frac{1}{\epsilon_c^{3/5}} \]](form_331.png)
the dimensionless diameter
![\[ d^{*} = \frac{d}{L} \]](form_332.png)
and the length scale
![\[ L = \left(\frac{\sigma}{\rho_c}\right)^{3/5} \frac{1}{\epsilon_c^{2/5}} \]](form_333.png)
 | = | Density of continuous phase [kg/m^3] |
 | = | Surface tension [N/m] |
 | = | Continuous phase turbulent dissipation rate [m^2/s^3] |
 | = | Diameter of daughter bubble i [m] |
 | = | Diameter of mother bubble j [m] |
References:
Lehr, F., Millies, M., & Mewes, D. (2002).
Bubbleâsize distributions and flow fields in bubble columns.
AIChE Journal, 48(11), 2426-2443.
Eq. 12-16, p. 2429-2430.Definition at line 123 of file LehrMilliesMewes.H.
| LehrMilliesMewes | ( | const populationBalanceModel & | popBal, |
| const dictionary & | dict | ||
| ) |
Definition at line 47 of file LehrMilliesMewes.C.
|
inlinevirtual |
Destructor.
Definition at line 143 of file LehrMilliesMewes.H.
| TypeName | ( | "LehrMilliesMewes" | ) |
Runtime type information.
|
virtual |
Return the breakup rate between two groups.
Implements binary.
Definition at line 60 of file LehrMilliesMewes.C.
References DimensionedField< Type, GeoMesh, PrimitiveField >::dimensions(), Foam::dimLength, Foam::erf(), Foam::exp(), Foam::log(), Foam::max(), Foam::constant::mathematical::pi(), Foam::pow(), Foam::pow3(), dimensionSet::reset(), Foam::constant::physicoChemical::sigma, Foam::sqr(), Foam::sqrt(), and Foam::T().
1.9.1