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

Inheritance diagram for CoulaloglouTavlaridesCoalescence:

Collaboration diagram for CoulaloglouTavlaridesCoalescence:

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...

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...

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 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.

Usage

Property	Description	Required	Default value
`C1`	Coefficient C1	no	2.8
`C2`	Coefficient C2	no	1.83e9

Source files

Definition at line 139 of file CoulaloglouTavlaridesCoalescence.H.

Constructor & Destructor Documentation

◆ CoulaloglouTavlaridesCoalescence()

CoulaloglouTavlaridesCoalescence	(	const populationBalanceModel &	popBal,
		const dictionary &	dict
	)

Definition at line 57 of file CoulaloglouTavlaridesCoalescence.C.

◆ ~CoulaloglouTavlaridesCoalescence()

virtual ~CoulaloglouTavlaridesCoalescence ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "CoulaloglouTavlarides" )

Runtime type information.

◆ addToCoalescenceRate()

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

virtual

Add to coalescenceRate.

Implements coalescenceModel.

Definition at line 73 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().

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

src/phaseSystemModels/reactingEulerFoam/phaseSystems/populationBalanceModel/coalescenceModels/CoulaloglouTavlaridesCoalescence/CoulaloglouTavlaridesCoalescence.H
src/phaseSystemModels/reactingEulerFoam/phaseSystems/populationBalanceModel/coalescenceModels/CoulaloglouTavlaridesCoalescence/CoulaloglouTavlaridesCoalescence.C

Public Member Functions