On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces

Ravindra Samtaney*, Norman J. Zabusky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Vorticity is deposited due to baroclinic effects on the surface of a density-stratified interface accelerated by a shock. An analytical expression is presented, derived from shock polar analysis, for circulation per unit length on a fast-slow planar density interface inclined at an angle to the incident shock. The analytical expression is integrated to yield total circulation on nonplanar interfaces (sinusoidal and semicircular interfaces) accelerated by shocks. The analytical results agree well with diagnostics from numerical experiments using a second-order Godunov code for the Euler equations.

Original languageEnglish (US)
Pages (from-to)1285-1287
Number of pages3
JournalPhysics of Fluids A
Volume5
Issue number6
StatePublished - Dec 1 1992

ASJC Scopus subject areas

  • Engineering(all)

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