The inviscid stability of supersonic flow past heated or cooled axisymmetric bodies

Stephen J. Shaw*, Peter W. Duck

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The inviscid, linear, nonaxisymmetric, temporal stability of the boundary layer associated with the supersonic flow past axisymmetric bodies (with particular emphasis on long thin, straight circular cylinders), subject to heated or cooled wall conditions is investigated. The eigenvalue problem is computed in some detail for Mach numbers 2.8 and 3.8, revealing that curvature and choice of wall conditions both have a significant effect on the stability of the flow. The asymptotic, large azimuthal wave-number solution is obtained for the inviscid stability of the flow and compared with numerical results. Additionally, asymptotic analyses valid for large radii of curvature with cooled/heated wall conditions are presented.

Original languageEnglish
Pages (from-to)1541-1557
Number of pages17
JournalPhysics of Fluids A
Volume4
Issue number7
DOIs
Publication statusPublished - 1992
Externally publishedYes

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