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

#include <CoulaloglouTavlaridesCoalescence.H>

Inheritance diagram for CoulaloglouTavlaridesCoalescence:

Collaboration diagram for CoulaloglouTavlaridesCoalescence:

Public Member Functions
	TypeName ("CoulaloglouTavlarides")
	Runtime type information.
	CoulaloglouTavlaridesCoalescence (const populationBalanceModel &popBal, const dictionary &dict)
virtual	~CoulaloglouTavlaridesCoalescence ()=default
	Destructor.
virtual void	addToCoalescenceRate (volScalarField &coalescenceRate, const label i, const label j)
	Add to coalescenceRate.
Public Member Functions inherited from coalescenceModel
	TypeName ("coalescenceModel")
	Runtime type information.
	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.
virtual void	correct ()
	Correct diameter independent expressions.

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.

Detailed Description

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

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

where

$\sigma$	=	Surface tension [N/m]
	=	Volume of droplet i [m3]
	=	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 135 of file CoulaloglouTavlaridesCoalescence.H.

Constructor & Destructor Documentation

◆ CoulaloglouTavlaridesCoalescence()

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

Definition at line 48 of file CoulaloglouTavlaridesCoalescence.C.

References coalescenceModel::coalescenceModel(), dict, Foam::dimArea, Foam::dimless, and Foam::inv().

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◆ ~CoulaloglouTavlaridesCoalescence()

virtual ~CoulaloglouTavlaridesCoalescence ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "CoulaloglouTavlarides" )

Runtime type information.

References dict.

◆ addToCoalescenceRate()

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

virtual

Add to coalescenceRate.

Implements coalescenceModel.

Definition at line 64 of file CoulaloglouTavlaridesCoalescence.C.

References Foam::cbrt(), Foam::exp(), phaseModel::mu(), sizeGroup::phase(), coalescenceModel::popBal_, Foam::pow(), Foam::pow3(), Foam::pow4(), phaseModel::rho(), Foam::sqr(), Foam::sqrt(), and sizeGroup::x().