Public Member Functions | List of all members
CoulaloglouTavlaridesCoalescence Class Reference

Model of Coulaloglou and Tavlarides (1977). The coalescence rate is calculated by. More...

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Public Member Functions

 TypeName ("CoulaloglouTavlarides")
 Runtime type information. More...
 
 CoulaloglouTavlaridesCoalescence (const populationBalanceModel &popBal, const dictionary &dict)
 
virtual ~CoulaloglouTavlaridesCoalescence ()
 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< coalescenceModelclone () const
 
virtual ~coalescenceModel ()
 Destructor. More...
 
virtual void correct ()
 Correct diameter independent expressions. More...
 

Additional Inherited Members

- Static Public Member Functions inherited from coalescenceModel
static autoPtr< coalescenceModelNew (const word &type, const populationBalanceModel &popBal, const dictionary &dict)
 
- Protected Attributes inherited from coalescenceModel
const populationBalanceModelpopBal_
 Reference to the populationBalanceModel. More...
 

Detailed Description

Model of Coulaloglou and Tavlarides (1977). The coalescence rate is calculated by.

\[ C_1 (v_i^{2/3} + v_j^{2/3}) (v_i^{2/9} + v_j^{2/9})^{1/2} \frac{\epsilon_c^{1/3}}{1 + \alpha_d} \text{exp} \left[ - C_2 \frac{\mu_c \rho_c}{\sigma^2} \frac{\epsilon_c}{(1 + \alpha_d)^{3}} \left( \frac{v_i^{1/3} v_j^{1/3}}{v_i^{1/3} + v_j^{1/3}} \right)^{4} \right] \]

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 continous phase [kg/m3]

References:

        "Description of interaction processes in agitated liquid-liquid
         dispersions"
        Coulaloglou, C.A., Tavlarides, L.L.
        Chemical Engineering Science, Vol. 32, Issue 11, 1977, pp. 1289-1297
        Eq. 37, p. 1294
Usage
Property Description Required Default value
C1 Coefficient C1 no 2.8
C2 Coefficient C2 no 1.83e9
Source files

Definition at line 137 of file CoulaloglouTavlaridesCoalescence.H.

Constructor & Destructor Documentation

◆ CoulaloglouTavlaridesCoalescence()

CoulaloglouTavlaridesCoalescence ( const populationBalanceModel popBal,
const dictionary dict 
)

◆ ~CoulaloglouTavlaridesCoalescence()

virtual ~CoulaloglouTavlaridesCoalescence ( )
inlinevirtual

Destructor.

Definition at line 165 of file CoulaloglouTavlaridesCoalescence.H.

References CoulaloglouTavlaridesCoalescence::addToCoalescenceRate().

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Member Function Documentation

◆ TypeName()

TypeName ( "CoulaloglouTavlarides"  )

Runtime type information.

◆ addToCoalescenceRate()

virtual void addToCoalescenceRate ( volScalarField coalescenceRate,
const label  i,
const label  j 
)
virtual

Add to coalescenceRate.

Implements coalescenceModel.

Referenced by CoulaloglouTavlaridesCoalescence::~CoulaloglouTavlaridesCoalescence().

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The documentation for this class was generated from the following file: