Stability of Shock Waves of Arbitrary Strength With Viscosity and Heat Conduction

[+] Author and Article Information
M. Morduchow, J. V. Valentino

Department of Mechanical and Aerospace Engineering, Polytechnic Institute of New York, Brooklyn, N. Y. 11201

J. Appl. Mech 46(3), 505-509 (Sep 01, 1979) (5 pages) doi:10.1115/1.3424596 History: Received June 01, 1978; Online July 12, 2010


The problem of the stability of shock waves with viscosity and heat conduction has been previously formulated as an eigenvalue problem involving a set of linear ordinary differential equations in a finite domain with what are shown to be regular singular points at the ends of the domain. By means of a computer-aided Frobenius type of analysis, it is shown that the (continuous) eigenvalue spectrum is such that the shock waves will be stable for all values of the shock-strength parameter. Some actual solutions of the disturbance equations are shown.

Copyright © 1979 by ASME
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