Instability of Plane Poiseuille Flow in Viscous Compressible Gas

Yoshiyuki Kagei, Takaaki Nishida

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Instability of plane Poiseuille flow in viscous compressible gas is investigated. A condition for the Reynolds and Mach numbers is given in order for plane Poiseuille flow to be unstable. It turns out that plane Poiseuille flow is unstable for Reynolds numbers much less than the critical Reynolds number for the incompressible flow when the Mach number is suitably large. It is proved by the analytic perturbation theory that the linearized operator around plane Poiseuille flow has eigenvalues with positive real part when the instability condition for the Reynolds and Mach numbers is satisfied.

Original languageEnglish
Pages (from-to)129-143
Number of pages15
JournalJournal of Mathematical Fluid Mechanics
Volume17
Issue number1
DOIs
Publication statusPublished - Mar 2014

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

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