The decay of a plane shock wave

Author:

Ardavan-Rhad H.

Abstract

An analytic solution of the non-isentropic equations of gas-dynamics, for the one-dimensional motion of a non-viscous and non-conductive medium, is derived in this paper for the first time. This is a particular solution which contains only one arbitrary function. On the basis of this solution, the interaction of a centred simple wave with a shock of moderate strength is analyzed; and it is shown that, for a weak shock, this analysis is compatible with Friedrichs's theory. Furthermore, in the light of this analysis, it is explained why the empirical methods employed by the shock-expansion theory, including Whitham's rule for determining the shock path, work.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

1. Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. New York:Interscience.

2. Eggars, A. J. , Savin, R. C. & Syverston, C. A. 1955 The generalized shock-expansion method and its application to bodies travelling at high supersonic air speeds.J. Aero. Sci. 22,231.

3. Mahony, J. J. 1955 A critique of shock-expansion theory.J. Aero. Sci. 22,673.

4. Ardavan-Rhad, H. 1969 Dynamics of cosmic explosions. Ph.D. thesis,University of Cambridge.

5. Whitham, G. B. 1958 On the propagation of shock waves through zones of non-uniform area or flow.J. Fluid Mech. 4,337.

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