Laakkonen Class Reference

Model of Laakkonen et al. (2007). The total breakup rate is calculated by. More...

Inheritance diagram for Laakkonen:
Collaboration diagram for Laakkonen:

Public Member Functions

 TypeName ("Laakkonen")
 Runtime type information. More...
 
 Laakkonen (const populationBalanceModel &popBal, const dictionary &dict)
 
virtual ~Laakkonen ()
 Destructor. More...
 
virtual tmp< volScalarField::Internalrate (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 daughterSizeDistributionModeldsd () 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 populationBalanceModelpopBal () const
 Return reference to the populationBalanceModel. More...
 

Additional Inherited Members

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

Detailed Description

Model of Laakkonen et al. (2007). The total breakup rate is calculated by.

\[ C_1 \epsilon_c^{1/3} \mathrm{erfc} \left( \sqrt { C_2 \frac{\sigma}{\rho_c \epsilon_c^{2/3} (6v_i/\pi)^{5/9}} + C_3 \frac{\mu_c}{\sqrt{\rho_c \rho_d} \epsilon_c^{1/3} (6v_i/\pi)^{4/9}} } \right) \]

where

$ \sigma $ = Surface tension [N/m]
$ v_i $ = Volume of mother bubble i [m3]
$ \epsilon_c $ = Turbulent dissipation rate of continuous phase [m^2/s^3]
$ \mu_c $ = Molecular dynamic viscosity of liquid phase [Pa s]
$ \rho_c $ = Density of continuous phase [kg/m^3]
$ \rho_d $ = Density of disperse phase [kg/m^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
C1 coefficient C1 no 2.25
C2 coefficient C2 no 0.04
C3 coefficient C3 no 0.01
daughterSizeDistributionModel inh. from breakupModel inherited
Source files

Definition at line 141 of file Laakkonen.H.

Constructor & Destructor Documentation

◆ Laakkonen()

Laakkonen ( const populationBalanceModel popBal,
const dictionary dict 
)

Definition at line 47 of file Laakkonen.C.

◆ ~Laakkonen()

virtual ~Laakkonen ( )
inlinevirtual

Destructor.

Definition at line 172 of file Laakkonen.H.

Member Function Documentation

◆ TypeName()

TypeName ( "Laakkonen"  )

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 63 of file Laakkonen.C.

References Foam::cbrt(), Foam::erfc(), Foam::pow(), Foam::constant::physicoChemical::sigma, and Foam::sqrt().

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