Daughter size distribution model of Laakkonen et al. (2007). Note that the diameters in the original expression were substituted by bubble volumes giving. More...

Inheritance diagram for LaakkonenDaughterSizeDistribution:

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Collaboration diagram for LaakkonenDaughterSizeDistribution:

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Public Member Functions
	TypeName ("Laakkonen")
	Runtime type information. More...

	LaakkonenDaughterSizeDistribution (const breakupModel &breakup, const dictionary &dict)

virtual	~LaakkonenDaughterSizeDistribution ()
	Destructor. More...

dimensionedScalar	antiderivative (const dimensionedScalar &xk, const dimensionedScalar &v, const dimensionedScalar &bndr, const dimensionedScalar range) const
	Calculate antiderivative. More...

virtual dimensionedScalar	calcNik (const label i, const label k) const
	Calculate contribution to sizeGroup i due to breakup in sizeGroup k. More...

Public Member Functions inherited from daughterSizeDistributionModel
	TypeName ("daughterSizeDistributionModel")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, daughterSizeDistributionModel, dictionary,(const breakupModel &breakup, const dictionary &dict),(breakup, dict))

	daughterSizeDistributionModel (const breakupModel &breakup, const dictionary &dict)

virtual	~daughterSizeDistributionModel ()
	Destructor. More...

const dimensionedScalar &	nik (const label i, const label k) const
	Return contribution to sizeGroup i due to breakup in sizeGroup k. More...

void	precompute ()
	Precompute field independent expressions. More...

Additional Inherited Members
Static Public Member Functions inherited from daughterSizeDistributionModel
static autoPtr< daughterSizeDistributionModel >	New (const breakupModel &breakup, const dictionary &dict)

Protected Attributes inherited from daughterSizeDistributionModel
const breakupModel &	breakup_
	Reference to the breakupModel. More...

PtrList< PtrList< dimensionedScalar > >	nik_
	Contribution to sizeGroup i due to breakup in sizeGroup k. More...

Detailed Description

Daughter size distribution model of Laakkonen et al. (2007). Note that the diameters in the original expression were substituted by bubble volumes giving.

$(1 + C_4)(2 + C_4)(3 + C_4)(4 + C_4) \times \left(\frac{1}{3}\right) \left(\frac{1}{v_j}\right) \left(\frac{v_i}{v_j}\right)^{2} \left(1 - \frac{v_i}{v_j}\right)^{C_4}$

where

	=	Volume of daughter bubble i [m3]
	=	Volume of mother bubble j [m3]

The total number of daughter bubbles generated depends on C4 and evaluates to

$\frac{4}{3} + \frac{C_4}{3}$

References:

        Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. (2007).
        Modelling local bubble size distributions in agitated vessels.
        Chemical Engineering Science, 62, 721–740.

Usage

Property	Description	Required	Default value
`C4`	Coefficient C4	no	18.25

Source files

Definition at line 105 of file LaakkonenDaughterSizeDistribution.H.

Constructor & Destructor Documentation

◆ LaakkonenDaughterSizeDistribution()

LaakkonenDaughterSizeDistribution	(	const breakupModel &	breakup,
		const dictionary &	dict
	)

Definition at line 52 of file LaakkonenDaughterSizeDistribution.C.

◆ ~LaakkonenDaughterSizeDistribution()

~LaakkonenDaughterSizeDistribution ( )

virtual

Destructor.

Definition at line 66 of file LaakkonenDaughterSizeDistribution.C.

Member Function Documentation

◆ TypeName()

TypeName ( "Laakkonen" )

Runtime type information.

◆ antiderivative()

Foam::dimensionedScalar antiderivative	(	const dimensionedScalar &	xk,
		const dimensionedScalar &	v,
		const dimensionedScalar &	bndr,
		const dimensionedScalar	range
	)		const

Calculate antiderivative.

Definition at line 74 of file LaakkonenDaughterSizeDistribution.C.

References Foam::pow(), Foam::pow3(), range, and Foam::sqr().

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◆ calcNik()

Foam::dimensionedScalar calcNik	(	const label	i,
		const label	k
	)		const

virtual

Calculate contribution to sizeGroup i due to breakup in sizeGroup k.

Implements daughterSizeDistributionModel.

Definition at line 100 of file LaakkonenDaughterSizeDistribution.C.

References k, and x.

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

applications/modules/multiphaseEuler/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/LaakkonenDaughterSizeDistribution/LaakkonenDaughterSizeDistribution.H
applications/modules/multiphaseEuler/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/LaakkonenDaughterSizeDistribution/LaakkonenDaughterSizeDistribution.C

Public Member Functions

Additional Inherited Members