Waves of high frequency in suspensions near the critical point of the particulate pressure-density dependence

P. Vainshtein*, M. Shapiro, C. Gutfinger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The paper considers theoretically the propagation of weakly nonlinear high-frequency waves in homogeneous gas-solid suspensions. The governing equations include the equation of particle conservation and the equation of mean motion of the particles. These equations are supplemented by a barotropic dependence of the particulate pressure on the particle volume fraction which has a point of maximum (critical point) separating the regions of increase and decrease of the particulate pressure. Under conditi on that the particulate gas viscosity is negligible, the conservation laws represent a system of mixed hyperbolic-elliptic type. It is shown that a uniformly fluidized bed operated at the critical concentration is unstable with respect to high-frequency sinusoidal oscillations.

Original languageEnglish
Pages (from-to)265-278
Number of pages14
JournalJournal of Engineering Mathematics
Volume38
Issue number3
DOIs
StatePublished - Oct 2000

Keywords

  • Critical point
  • Equations of mixed type
  • High frequency
  • Particulate pressure
  • Suspensions
  • Waves

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