Public Member Functions | List of all members
Kusters Class Reference

Solid particle breakage model of Kusters (1991). The breakage rate is calculated by. More...

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Public Member Functions

 TypeName ("Kusters")
 Runtime type information. More...
 
 Kusters (const populationBalanceModel &popBal, const dictionary &dict)
 
virtual ~Kusters ()
 Destructor. More...
 
virtual tmp< volScalarField::Internal > rate (const label i) const
 Return the breakup rate for a group. More...
 
- Public Member Functions inherited from daughterSizeDistribution
 daughterSizeDistribution (const populationBalanceModel &popBal, const dictionary &dict)
 
virtual ~daughterSizeDistribution ()
 Destructor. More...
 
const daughterSizeDistributionModel & dsd () const
 Return const-reference to daughter size distribution model. More...
 
virtual void precompute ()
 Pre-compute diameter independent expressions. More...
 
- Public Member Functions inherited from breakupModel
 TypeName ("breakupModel")
 Runtime type information. More...
 
 declareRunTimeSelectionTable (autoPtr, breakupModel, dictionary,(const populationBalanceModel &popBal, const dictionary &dict),(popBal, dict))
 
 breakupModel (const populationBalanceModel &popBal, const dictionary &dict)
 
virtual ~breakupModel ()
 Destructor. More...
 
const populationBalanceModel & popBal () const
 Return reference to the populationBalanceModel. More...
 

Additional Inherited Members

- Static Public Member Functions inherited from breakupModel
static autoPtr< breakupModel > New (const populationBalanceModel &popBal, const dictionary &dict)
 
- Protected Attributes inherited from daughterSizeDistribution
autoPtr< daughterSizeDistributionModel > dsdPtr_
 Daughter size distribution model. More...
 
- Protected Attributes inherited from breakupModel
const populationBalanceModel & popBal_
 Reference to the populationBalanceModel. More...
 

Detailed Description

Solid particle breakage model of Kusters (1991). The breakage rate is calculated by.

\[ \sqrt{\frac{4}{15\pi}}\sqrt{\frac{\epsilon}{\nu}} \exp\left(-\frac{\epsilon_{crit}}{\epsilon}\right) \]

\[ \epsilon_{crit}=\frac{B}{R_{ci}} \]

\[ R_{ci} = 0.5d_{p}\left(\frac{n_i}{k_c}\right)^{1/D_f} \]

\[ n_i = \left(\frac{d_i}{d_{p}}\right)^{D_f} \]

where

$ B $ = Critical force parameter for breakage [m3/s3]
$ d_i $ = Diameter of transported particle [m]
$ d_{p} $ = Diameter of primary particles [m]
$ D_f $ = Fractal dimension of particle [-]
$ k_c $ = Constant relative to packing density [-]
$ n_i $ = Number of primary particles in agglomerate [-]
$ \nu $ = Kinematic viscosity of continuous phase [m2/s]
$ \epsilon $ = Continuous phase turbulent dissipation rate [m2/s3]
$ \epsilon_{crit} $ = Critical turbulent dissipation rate [m2/s3]

Reference: 

        Kusters, K. A. (1991).
        The influence of turbulence on aggregation of small particles in
        agitated vessels.
        PhD Thesis
Source files

Definition at line 128 of file Kusters.H.

Constructor & Destructor Documentation

◆ Kusters()

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

Definition at line 47 of file Kusters.C.

◆ ~Kusters()

virtual ~Kusters ( )
inlinevirtual

Destructor.

Definition at line 162 of file Kusters.H.

Member Function Documentation

◆ TypeName()

TypeName ( "Kusters"  )

Runtime type information.

◆ rate()

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

Return the breakup rate for a group.

Implements daughterSizeDistribution.

Definition at line 64 of file Kusters.C.

References Foam::exp(), Foam::constant::mathematical::pi(), Foam::pow(), and Foam::sqrt().

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