The motion of a shock-wave through a region of non-uniform density

Author:

Bird G. A.

Abstract

The method of characteristics is used to calculate numerical solutions for the one-dimensional motion of a plane shock-wave through a stationary gas which contains a region of non-uniform density. These solutions are compared with those given by the Chisnell-Whitham approach which ignores the effects on the shock-wave of the disturbances which are generated in the flow behind it, and also with the asymptotic solution given by the simple theory which regards the nonuniform region as a contact-surface discontinuity. It is concluded that the results of the simplified theories must be applied with caution.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Moeckel, W. E. 1952 Nat. Adv. Comm. Aero. Tech. Note no. 2725.

2. Chisnell, R. F. 1957 J. Fluid Mech. 2,286.

3. Chisnell, R. F. 1955 Proc. Roy. Soc. A,223,350.

4. Whitham, G. B. 1958 J. Fluid Mech. 4,337.

5. Paterson, S. 1948 Proc. Phys. Soc. 61,119.

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