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Laminar flow past a sphere at high Mach number

Published online by Cambridge University Press:  28 March 2006

R. T. Davis  and
W. J. Chyu
R. T. Davis
Affiliation:
Engineering Mechanics Department, Virginia Polytechnic Institute
W. J. Chyu
Affiliation:
Engineering Mechanics Department, Virginia Polytechnic Institute
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Abstract

Laminar hypersonic flow past a sphere is examined on the basis of the constant-density approximation. The Navier-Stokes equations governing the flow are reduced to a nearly parabolic form so that backward influence is essentially eliminated. Two methods of solution are then used on the resulting equations. The first method is the so-called series-truncation method (local similarity), and the second method is an implicit finite-difference method. The solutions from the two methods are compared for various values of the shock Reynolds number. These solutions are also compared with Lighthill's inviscid constant-density solution for high-shock Reynolds number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 3 , March 1966 , pp. 481 - 495
Copyright
© 1966 Cambridge University Press

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