Model of Lehr et al. (2002). The breakup rate is calculated by. More...

#include <LehrMilliesMewes.H>

Inheritance diagram for LehrMilliesMewes:

Collaboration diagram for LehrMilliesMewes:

Public Member Functions
	TypeName ("LehrMilliesMewes")
	Runtime type information.
	LehrMilliesMewes (const populationBalanceModel &popBal, const dictionary &dict)
virtual	~LehrMilliesMewes ()=default
	Destructor.
virtual void	addToBinaryBreakupRate (volScalarField &binaryBreakupRate, const label i, const label j)
	Add to binary breakupRate.
Public Member Functions inherited from binaryBreakupModel
	TypeName ("binaryBreakupModel")
	Runtime type information.
	declareRunTimeSelectionTable (autoPtr, binaryBreakupModel, dictionary,(const populationBalanceModel &popBal, const dictionary &dict),(popBal, dict))
	binaryBreakupModel (const populationBalanceModel &popBal, const dictionary &dict)
autoPtr< binaryBreakupModel >	clone () const
virtual	~binaryBreakupModel ()=default
	Destructor.
virtual void	correct ()
	Correct diameter independent expressions.

Additional Inherited Members
Static Public Member Functions inherited from binaryBreakupModel
static autoPtr< binaryBreakupModel >	New (const word &type, const populationBalanceModel &popBal, const dictionary &dict)
Protected Attributes inherited from binaryBreakupModel
const populationBalanceModel &	popBal_
	Reference to the populationBalanceModel.

Detailed Description

Model of Lehr et al. (2002). The breakup rate is calculated by.

$\‍[ 0.5 d_j^{*^{5/3}} \mathrm{exp}\left(-\frac{\sqrt{2}}{d_j^{*^{3}}}\right) \frac{6}{\pi^{3/2}d_i^{*^{3}}} \mathrm{exp} \left( - \frac{9}{4}\left[\mathrm{ln}\left(2^{2/5} d_i^{*}\right)\right]^{2} \right) \left( 1 + \mathrm{erf} \left[ \frac{3}{2}\mathrm{ln} \left(2^{1/15} d_j^{*}\right) \right] \right)^{-1} \frac{1}{L^{3}T} \‍]$

with the time scale

$\‍[ T = \left(\frac{\sigma}{\rho_c}\right)^{2/5} \frac{1}{\epsilon_c^{3/5}} \‍]$

the dimensionless diameter

$\‍[ d^{*} = \frac{d}{L} \‍]$

and the length scale

$\‍[ L = \left(\frac{\sigma}{\rho_c}\right)^{3/5} \frac{1}{\epsilon_c^{2/5}} \‍]$

$\rho_c$	=	Density of continuous phase [kg/m3]
$\sigma$	=	Surface tension [N/m]
$\epsilon_c$	=	Continuous phase turbulent dissipation rate [m2/s3]
	=	Diameter of daughter bubble i [m]
	=	Diameter of mother bubble j [m]

References:

        Lehr, F., Millies, M., & Mewes, D. (2002).
        Bubble‐size distributions and flow fields in bubble columns.
        AIChE Journal, 48(11), 2426-2443.
        Eq. 12-16, p. 2429-2430.

Source files

Definition at line 121 of file LehrMilliesMewes.H.

Constructor & Destructor Documentation

◆ LehrMilliesMewes()

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

Definition at line 49 of file LehrMilliesMewes.C.

References binaryBreakupModel::binaryBreakupModel(), and dict.

Here is the call graph for this function:

◆ ~LehrMilliesMewes()

virtual ~LehrMilliesMewes ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "LehrMilliesMewes" )

Runtime type information.

References dict.

◆ addToBinaryBreakupRate()

void addToBinaryBreakupRate	(	volScalarField &	binaryBreakupRate,
		const label	i,
		const label	j )

virtual

Add to binary breakupRate.

Implements binaryBreakupModel.

Definition at line 61 of file LehrMilliesMewes.C.

References sizeGroup::d(), Foam::dimLength, Foam::erf(), Foam::exp(), L, Foam::log(), Foam::max(), sizeGroup::phase(), pi(), binaryBreakupModel::popBal_, Foam::pow(), Foam::pow3(), phaseModel::rho(), Foam::sqr(), Foam::sqrt(), Foam::T(), and T.