Model describing coagulation due to Brownian motion. Utilises collisional diameters and the Cunningham slip correction. The slip correction coefficient is implemented in the following form: More...

Inheritance diagram for BrownianCollisions:

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Collaboration diagram for BrownianCollisions:

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

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

virtual	~BrownianCollisions ()
	Destructor. More...

virtual void	precompute ()
	Pre-compute diameter independent expressions. More...

virtual tmp< volScalarField::Internal >	rate (const label i, const label j) const
	Return the coalescence rate between two groups. 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)
	Construct from a population balance and its dictionary. More...

virtual	~coalescenceModel ()
	Destructor. More...

virtual bool	coalesces () const
	Does this model coalesce? More...

Additional Inherited Members
Static Public Member Functions inherited from coalescenceModel
static autoPtr< coalescenceModel >	New (const populationBalanceModel &popBal, const dictionary &dict)
	Selector. More...

Protected Attributes inherited from coalescenceModel
const populationBalanceModel &	popBal_
	Reference to the populationBalanceModel. More...

Detailed Description

Model describing coagulation due to Brownian motion. Utilises collisional diameters and the Cunningham slip correction. The slip correction coefficient is implemented in the following form:

$C_{c_i} = 1 + \lambda [A_1 + A_2 \exp(-A_3 d_i/\lambda)]/d_i\,.$

The coefficients default to the values proposed by Davis (1945). The mean free path is computed by

$\lambda = \frac{kT}{\sqrt{2} \pi p \sigma^{2}}\,.$

	=	Coefficient [-]
	=	Coefficient [-]
	=	Coefficient [-]
$\sigma$	=	Lennard-Jones parameter [m]

Reference:

        Davies, C. N. (1945).
        Definitive equations for the fluid resistance of spheres.
        Proceedings of the Physical Society, 57(4), 259.

Usage

Property	Description	Required	Default value
`A1`	Coefficient A1	no	2.514
`A2`	Coefficient A2	no	0.8
`A3`	Coefficient A2	no	0.55
`sigma`	Lennard-Jones parameter	yes	none

Source files

Definition at line 129 of file BrownianCollisions.H.

Constructor & Destructor Documentation

◆ BrownianCollisions()

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

Definition at line 52 of file BrownianCollisions.C.

◆ ~BrownianCollisions()

virtual ~BrownianCollisions ( )

inlinevirtual

Destructor.

Definition at line 166 of file BrownianCollisions.H.

Member Function Documentation

◆ TypeName()

TypeName ( "BrownianCollisions" )

Runtime type information.

◆ precompute()

void precompute ( )

virtual

Pre-compute diameter independent expressions.

Reimplemented from coalescenceModel.

Definition at line 85 of file BrownianCollisions.C.

References k, Foam::constant::physicoChemical::k, p, Foam::constant::mathematical::pi(), Foam::sqr(), Foam::sqrt(), and DimensionedField< Type, GeoMesh, PrimitiveField >::T().

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◆ rate()

Foam::tmp< Foam::volScalarField::Internal > rate	(	const label	i,
		const label	j
	)		const

virtual

Return the coalescence rate between two groups.

Implements coalescenceModel.

Definition at line 101 of file BrownianCollisions.C.

References Foam::exp(), k, Foam::constant::physicoChemical::k, and DimensionedField< Type, GeoMesh, PrimitiveField >::T().