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The wave system attached to a finite slender body in a supersonic relaxing gas stream

Published online by Cambridge University Press:  12 April 2006

Y. L. Sinai  and
J. F. Clarke
Y. L. Sinai
Affiliation:
Department of Aerodynamics, Cranfield Institute of Technology, Bedford MK43 0AL, England Present address: Department of Applied Mathematical Studies, University of Leeds, England.
J. F. Clarke
Affiliation:
Department of Aerodynamics, Cranfield Institute of Technology, Bedford MK43 0AL, England
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Abstract

The results of a companion paper are extended to encompass the flow about smooth, but otherwise general body shapes. The wave behaviour depends on three important parameters, namely the body thickness ratio ε, the quantity δ, which is proportional to the difference between the frozen and equilibrium sound speeds, and the ratio λ of a relaxation time to a characteristic flow time. Both analytical and numerical solutions have been obtained; account is taken of nonlinearity for complete spectra of the three parameters, enabling an assessment to be made of the evolution of the wave forms for a host of situations. In particular, it is possible to predict the structures of the shock waves in various regions, and it transpires that under certain conditions vibrational relaxation can overwhelm other dissipative effects.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 4 , 27 February 1978 , pp. 717 - 741
Copyright
© 1978 Cambridge University Press

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