alphaVarEquilibrium

Phase volume fraction variance equilibrium closure

Description

Provides algebraic equation for the equilibrium formulation of the phase volume fraction variance for the dispersed phases. Therefore, it closes a scalar field.

NOTE: despite the closure is applied to the dispersed phase, the variance for the continuous phase is identical.

Syntax

• dispersedPhaseK: requires a string. That is the name of the granular temperature field for the dispersed phase.

NOTE: the user has to provide an equation for the dispersedPhaseK field! (see example below).

Examples

In the auxiliary equations sub-dictionary:

fieldsToSolve (k.particles, k.air, alphaVar);

k.particles
{

  equation scalarEquilibrium;  

  subClosures  kEquilibrium;

  kEquilibrium
  {
    phase         dispersed;
    otherPhasek   k.air;
  }
}

k.air
{

  equation scalarEquilibrium;

  subClosures  kEquilibrium;

  kEquilibrium
  {
    phase         continuous;
    otherPhasek   k.particles;
  }
}

alphaVar
{

  equation scalarEquilibrium;

  subClosures  alphaVarEquilibrium;

  alphaVarEquilibrium
  {
    dispersedPhaseK k.particles;
  }
}

Back to equation closures.