Inter-particle stress model of Lun et al. More...

#include <Lun.H>

Inheritance diagram for Lun:

Collaboration diagram for Lun:

Public Member Functions
	TypeName ("Lun")
	Runtime type information.
	Lun (const dictionary &dict)
	Constructors.
	Lun (const Lun &hc)
	Construct copy.
virtual autoPtr< ParticleStressModel >	clone () const
	Clone.
virtual	~Lun ()
	Destructor.
tmp< Field< scalar > >	tau (const Field< scalar > &alpha, const Field< scalar > &rho, const Field< scalar > &uRms) const
	Member Functions.
tmp< Field< scalar > >	dTaudTheta (const Field< scalar > &alpha, const Field< scalar > &rho, const Field< scalar > &uRms) const
	Collision stress derivative w.r.t. the volume fraction.
Public Member Functions inherited from ParticleStressModel
	TypeName ("particleStressModel")
	Runtime type information.
	declareRunTimeSelectionTable (autoPtr, ParticleStressModel, dictionary,(const dictionary &dict),(dict))
	Declare runtime constructor selection table.
	ParticleStressModel (const dictionary &dict)
	Constructors.
	ParticleStressModel (const ParticleStressModel &sm)
	Construct a copy.
virtual	~ParticleStressModel ()
	Destructor.
scalar	alphaPacked () const
	Member Functions.
tmp< FieldField< Field, scalar > >	tau (const FieldField< Field, scalar > &alpha, const FieldField< Field, scalar > &rho, const FieldField< Field, scalar > &uRms) const
	Collision stress using FieldFields.

Additional Inherited Members
Static Public Member Functions inherited from ParticleStressModel
static autoPtr< ParticleStressModel >	New (const dictionary &dict)
	Selector.
Protected Attributes inherited from ParticleStressModel
scalar	alphaPacked_
	Close pack volume fraction.

Detailed Description

Inter-particle stress model of Lun et al.

The stress value takes the following form:

$\‍[ \left( \alpha \rho + \alpha^2 \rho (1 + e) \frac{3}{5} \left( 1 - \left( \frac{\alpha}{\alpha_{pack}} \right)^\frac{1}{3} \right) \right) \frac{1}{3} \sigma^2 \‍]$

Here, $\alpha$ is the volume fraction of the dispersed phase, $\rho$ is the density of the dispersed phase, $e$ is a coefficient of restitution, and $\sigma$ is the RMS velocity fluctuation.

Reference:

    "Kinetic theories for granular flow: inelastic particles in Couette
    flow and slightly inelastic particles in a general flowfield"
    C Lun, S Savage, G Jeffrey, N Chepurniy
    Journal of Fluid Mechanics
    Volume 140, Pages 223-256, 1984

Source files