Kinetic theory of multicomponent dense mixtures of slightly inelastic spherical particles

Piroz Zamankhan

Research output: Contribution to journalArticleScientificpeer-review

88 Citations (Scopus)

Abstract

A kinetic-type theoretical approach is developed for the transport processes involved in flows of dense mixtures of solid particles with distribution in particle size. The particles are treated as being smooth, nearly elastic, and spherical. Starting from the reduced Liouville equation, a generalized Boltzmann equation that includes the effects of inelastic collisions is stated, assuming the condition of particle chaos. The nonequilibrium velocity distribution function is derived for particles of each size using a generalized Grad moment method. The theory is applied to study the rheology of multicomponent mixtures of granular materials undergoing steady shearing flows.
Original languageEnglish
Pages (from-to)4877-4891
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume52
Issue number5
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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Kinetic Theory
kinetic theory
Inelastic collision
Liouville Equation
Moment Method
Rheology
Transport Processes
Granular Materials
Velocity Distribution
Steady Flow
Boltzmann Equation
Particle Size
Generalized Equation
Liouville equations
Non-equilibrium
granular materials
inelastic collisions
Chaos
Distribution Function
shearing

Keywords

  • mixtures
  • particles
  • spherical powder
  • kinetic theory
  • transport properties
  • elastic properties
  • Bolzman equation
  • velocity measurement
  • flowmeters
  • particle size distribution

Cite this

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Kinetic theory of multicomponent dense mixtures of slightly inelastic spherical particles. / Zamankhan, Piroz.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 52, No. 5, 1995, p. 4877-4891.

Research output: Contribution to journalArticleScientificpeer-review

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AB - A kinetic-type theoretical approach is developed for the transport processes involved in flows of dense mixtures of solid particles with distribution in particle size. The particles are treated as being smooth, nearly elastic, and spherical. Starting from the reduced Liouville equation, a generalized Boltzmann equation that includes the effects of inelastic collisions is stated, assuming the condition of particle chaos. The nonequilibrium velocity distribution function is derived for particles of each size using a generalized Grad moment method. The theory is applied to study the rheology of multicomponent mixtures of granular materials undergoing steady shearing flows.

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KW - particles

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KW - elastic properties

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KW - velocity measurement

KW - flowmeters

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