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

Stephen Shaw | Zendy; Peter W. Duck | Zendy

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

Author(s) -

Stephen Shaw,

Peter W. Duck

Publication year - 1992

Publication title -

physics of fluids a fluid dynamics

Language(s) - English

Resource type - Journals

eISSN - 2163-5013

pISSN - 0899-8213

DOI - 10.1063/1.858427

Subject(s) - inviscid flow , physics , supersonic speed , mach number , mechanics , rotational symmetry , curvature , choked flow , flow (mathematics) , instability , classical mechanics , geometry , mathematics

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.

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