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Hypersonic weak-interaction similarity solutions for flow past a flat plate

Published online by Cambridge University Press:  28 March 2006

William B. Bush  and
Arthur K. Cross
William B. Bush
Affiliation:
University of Southern California, Los Angeles, California
Arthur K. Cross
Affiliation:
University of Southern California, Los Angeles, California
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Abstract

The hypersonic weak-interaction regime for the flow of a viscous, heat-conducting compressible fluid past a flat plate is analysed using the Navier-Stokes equations as a basis. The fluid is assumed to be a perfect gas having constant specific heats, a constant Prandtl number, σ, of order unity, and a viscosity coefficient varying as a power, ω, of the absolute temperature. Limiting forms of solutions are studied for the free-stream Mach number, M, the free-stream Reynolds number (based on the plate length), RL, and the reciprocal of the weak-interaction parameter, (ξ*)−1 = [Fscr ](M, RL, ω, σ), greater than order unity.

By means of matched asymptotic expansions, it is shown that, for (1 − ω) > 0, the zone between the shock wave and the plate is composed of four distinct regions for which similarity exists. The behaviour of the flow in these four regions is analysed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 2 , 11 August 1967 , pp. 349 - 359
Copyright
© 1967 Cambridge University Press

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