Model of Coulaloglou and Tavlarides (1977). The coalescence rate is calculated by. More...
Public Member Functions | |
TypeName ("CoulaloglouTavlarides") | |
Runtime type information. More... | |
CoulaloglouTavlaridesCoalescence (const populationBalanceModel &popBal, const dictionary &dict) | |
virtual | ~CoulaloglouTavlaridesCoalescence ()=default |
Destructor. More... | |
virtual void | addToCoalescenceRate (volScalarField &coalescenceRate, const label i, const label j) |
Add to coalescenceRate. More... | |
Public Member Functions inherited from coalescenceModel | |
TypeName ("coalescenceModel") | |
Runtime type information. More... | |
declareRunTimeSelectionTable (autoPtr, coalescenceModel, dictionary,(const populationBalanceModel &popBal, const dictionary &dict),(popBal, dict)) | |
coalescenceModel (const populationBalanceModel &popBal, const dictionary &dict) | |
autoPtr< coalescenceModel > | clone () const |
virtual | ~coalescenceModel ()=default |
Destructor. More... | |
virtual void | correct () |
Correct diameter independent expressions. More... | |
virtual void | addToCoalescenceRate (volScalarField &coalescenceRate, const label i, const label j)=0 |
Add to coalescenceRate. More... | |
Additional Inherited Members | |
Static Public Member Functions inherited from coalescenceModel | |
static autoPtr< coalescenceModel > | New (const word &type, const populationBalanceModel &popBal, const dictionary &dict) |
Protected Attributes inherited from coalescenceModel | |
const populationBalanceModel & | popBal_ |
Reference to the populationBalanceModel. More... | |
Model of Coulaloglou and Tavlarides (1977). The coalescence rate is calculated by.
\[ C_1 (v_i^{2/3} + v_j^{2/3}) (v_i^{2/9} + v_j^{2/9})^{1/2} \frac{\epsilon_c^{1/3}}{1 + \alpha_d} \textrm{exp} \left[ - C_2 \frac{\mu_c \rho_c}{\sigma^2} \frac{\epsilon_c}{(1 + \alpha_d)^{3}} \left( \frac{v_i^{1/3} v_j^{1/3}}{v_i^{1/3} + v_j^{1/3}} \right)^{4} \right] \]
where
\( \sigma \) | = | Surface tension [N/m] |
\( v_i \) | = | Volume of droplet i [m3] |
\( v_j \) | = | Volume of droplet j [m3] |
\( \epsilon_c \) | = | Turbulent dissipation rate of continuous phase [m2/s3] |
\( \alpha_d \) | = | Total void fraction of disperse phase [-] |
\( \mu_c \) | = | Molecular dynamic viscosity of liquid phase [Pa s] |
\( \rho_c \) | = | Density of continuous phase [kg/m3] |
References:
Coulaloglou, C. A., & Tavlarides, L. L. (1977). Description of interaction processes in agitated liquid-liquid dispersions. Chemical Engineering Science, 32(11), 1289-1297. Eq. 37, p. 1294.
Property | Description | Required | Default value |
---|---|---|---|
C1 | Coefficient C1 | no | 2.8 |
C2 | Coefficient C2 | no | 1.83e9 |
Definition at line 139 of file CoulaloglouTavlaridesCoalescence.H.
CoulaloglouTavlaridesCoalescence | ( | const populationBalanceModel & | popBal, |
const dictionary & | dict | ||
) |
Definition at line 55 of file CoulaloglouTavlaridesCoalescence.C.
References Foam::dimArea, Foam::dimless, and Foam::inv().
|
virtualdefault |
Destructor.
TypeName | ( | "CoulaloglouTavlarides" | ) |
Runtime type information.
|
virtual |
Add to coalescenceRate.
Implements coalescenceModel.
Definition at line 71 of file CoulaloglouTavlaridesCoalescence.C.
References Foam::cbrt(), Foam::exp(), phaseModel::mu(), sizeGroup::phase(), Foam::pow(), Foam::pow3(), Foam::pow4(), phaseModel::rho(), Foam::sqr(), Foam::sqrt(), and sizeGroup::x().