Filtered two-fluid models of fluidized gas-particle flows: New constitutive relations

Christian C. Milioli, Fernando E. Milioli, William Holloway, Kapil Agrawal, Sankaran Sundaresan

Research output: Contribution to journalArticlepeer-review

185 Scopus citations


New constitutive relations for filtered two-fluid models (TFM) of gas-particle flows are obtained by systematically filtering results generated through highly resolved simulations of a kinetic theory-based TFM. It was found in our earlier studies that the residual correlations appearing in the filtered TFM equations depended principally on the filter size and filtered particle volume fraction. Closer inspection of a large amount of computational data gathered in this study reveals an additional, systematic dependence of the correction to the drag coefficient on the filtered slip velocity, which serves as a marker for the extent of subfilter-scale inhomogeneity. Furthermore, the residual correlations for the momentum fluxes in the gas and particle phases arising from the subfilter-scale fluctuations are found to be modeled nicely using constitutive relations of the form used in large-eddy simulations of single-phase turbulent flows.

Original languageEnglish (US)
Pages (from-to)3265-3275
Number of pages11
JournalAIChE Journal
Issue number9
StatePublished - Sep 2013

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Environmental Engineering
  • General Chemical Engineering


  • Coarse grid simulation
  • Constitutive relations
  • Filtered model
  • Gas-particle flow
  • Kinetic theory of granular flows
  • Multiphase flows
  • Two-fluid model


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