Skip to main content

The Inviscid Stability of Supersonic Flow Past Axisymmetric Bodies

  • Conference paper

Part of the book series: ICASE/ NASA LaRC Series ((ICASE/NASA))

Abstract

The supersonic flow past a sharp cone is studied. The associated boundary layer flow (i.e. the velocity and temperature field) is computed. The inviscid linear temporal stability of axisymmetric boundary layers in general is considered, and in particular, a so- called “triply generalized” inflection condition for “subsonic” non- axisymmetric neutral modes is presented. Preliminary numerical results for the stability of the cone boundary layer are presented for a freestream Mach number of 3.8. In particular, a new inviscid mode of instability is seen to occur in certain regimes, and this is shown to be related to a viscous mode found by Duck and Hall (1988).

A number of computations were performed using time provided under S.E.R.C. grant number GR/E/25702.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Duck, P. W., 1988, The inviscid axisymmetric stability of the supersonic flow along a circular cylinder ICASE Report No. 89–19 (submitted to J. Fluid Mech.).

    Google Scholar 

  2. Duck, P. W. and Hall, P., 1988, Non-axisymmetric viscous lower branch modes, in supersonic flows ICASE Report No. 88–42 (submitted to J. Fluid Mech.).

    Google Scholar 

  3. Duck, P. W. and Shaw, S., 1990, The inviscid stability of super-sonic flow past sharp cone in preparation.

    Google Scholar 

  4. Lees, L. and Lin, C. C., 1946, Investigation of the stability of the laminar boundary layer in a compressible fluid NACA Tech. Note 1115.

    Google Scholar 

  5. Mack, L. M., 1963, The inviscid stability of the compressible laminar boundary layer Space Programs Summary 37–23, p. 297, JPL, Pasadena, CA.

    Google Scholar 

  6. Mack, L. M., 1964, The inviscid stability of the compressible laminar boundary layer; part II Space Programs Summary 37–26, p. 105, JPL, Pasadena, CA.

    Google Scholar 

  7. Mack, L. M., 1965a, Stability of the compressible laminar boundary layer according to a direct numerical solution AGARDograph 97, Part I, 329.

    Google Scholar 

  8. Mack, L. M., 1965b, Computation of the stability of the laminar- boundary layer Methods in Computational Physics, (B. Alden, S. Fernbach, and M. Rotenberg, eds.), 4, 247, Academic, N.Y.

    Google Scholar 

  9. Mack, L. M., 1969, Boundary Layer Stability Theory JPL, Pasadena, CA, Document No. 900–277, Rev. A.

    Google Scholar 

  10. Mack, L. M., 1984, Boundary-layer linear stability theory Special Course on Stability and Transition of Laminar Flow, AGARD Report No. 709, 3–1.

    Google Scholar 

  11. Mack, L. M., 1987, Review of compressible stability theory Proc. ICASE Workshop on the Stability of Time Dependent and Spatially varying flows, Springer-Verlag.

    Google Scholar 

  12. Mangier, K. W., 1946, Boundary layers on bodies of revolution in symmetrical flow Gt. Brit. Ministry of Air Production Volkenrode Repts and Transls. 55.

    Google Scholar 

  13. Stewartson, K., 1964, The theory of laminar boundary layers Compressible Fluids, Oxford U. P.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag New York Inc.

About this paper

Cite this paper

Duck, P.W. (1990). The Inviscid Stability of Supersonic Flow Past Axisymmetric Bodies. In: Hussaini, M.Y., Voigt, R.G. (eds) Instability and Transition. ICASE/ NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3432-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3432-6_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97324-1

  • Online ISBN: 978-1-4612-3432-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics