A coupled boltzmann and navier-stokes fragmentation model induced by a fluid-particle-spring interaction

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Abstract

This paper is concerned with the modeling and analysis of the interaction between particles and fluids in particular regarding fragmentation processes. We simplify the model by assuming that the particles are constituted of spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltzmann system for the particles. The resulting coupled system is analyzed by means of a refined averaging lemma.

Original languageEnglish (US)
Pages (from-to)1244-1268
Number of pages25
JournalMultiscale Modeling and Simulation
Volume8
Issue number4
DOIs
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

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