Turbulence kinetic energy equation for dilute suspensions
Abstract
A multiphase turbulence closure model is presented which employs one transport equation, namely the turbulence kinetic energy equation. The proposed form of this equation is different from the earlier formulations in some aspects. The power spectrum of the carrier fluid is divided into two regions, which interact in different ways and at different rates with the suspended particles as a function of the particleeddy size ratio and density ratio. The length scale is described algebraically. A mass/time averaging procedure for the momentum and kinetic energy equations is adopted. The resulting turbulence correlations are modeled under less retrictive assumptions comparative to previous work. The closures for the momentum and kinetic energy equations are given. Comparisons of the predictions with experimental results on liquidsolid jet and gassolid pipe flow show satisfactory agreement.
 Publication:

Constitutive Relationships and Models in Continuum Theories of Multiphase Flows
 Pub Date:
 September 1989
 Bibcode:
 1989crmc.nasa..147A
 Keywords:

 Kinetic Energy;
 Multiphase Flow;
 Solid Suspensions;
 Turbulence Models;
 Closure Law;
 GasSolid Interactions;
 Jet Flow;
 Momentum;
 Pipe Flow;
 Fluid Mechanics and Heat Transfer