A cascade model for neutrally buoyant dispersed two-phase homogeneous turbulence-I. Model formulation

V. Jairazbhoy, L. L. Tavlarides, J. Lewalle

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


This work proposes a cascade model approach to describe two-phase turbulent flows of neutrally buoyant liquid dispersions for high dispersed phase fractions. A continuum framework is selected for the representation of the mean flow momentum and continuity equations. The cascade model of Desnyansky & Novikov is extended to describe the energy spectrum and eddy intermittency in the presence of a dispersed phase. The Reynolds stress in the mean balance equation is related to the cascade variables by a spectral eddy viscosity model. A population balance is formulated for each eddy size. This approach permits the specification of the immediate environment of the drop processes modeled in the population balance. Specific drop-eddy events such as grazing collisions, drop entrapment and eddy shattering are suggested and their effects on the turbulent spectrum, eddy intermittencies and drop size distributions are examined. The energy, intermittency and population balance equations modified to include the effects of drop-eddy interactions form the proposed two-phase cascade model for homogeneous, neutrally buoyant, turbulent dispersions.

Original languageEnglish (US)
Pages (from-to)467-483
Number of pages17
JournalInternational Journal of Multiphase Flow
Issue number3
StatePublished - Jun 1995


  • cascade model
  • homogeneous turbulence
  • turbulent dispersions
  • two-phase flow
  • two-phase turbulence

ASJC Scopus subject areas

  • Mechanical Engineering
  • General Physics and Astronomy
  • Fluid Flow and Transfer Processes


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