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An Example of a Plane Shock of Variable Strength

Published online by Cambridge University Press:  20 January 2009

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Abstract

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A particular solution of the equations of one-dimensional anisentropic flow of a polytropic gas is linked by a shock to gas at rest in which the density is non-uniform. The approach is inverse in that the density distribution is derived from the position of the shock and the prescribed flow behind it. The velocity and strength of the shock each vary with time. The result is an example of the propagation of a shock through an inhomogeneous gas.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1963

References

REFERENCES

Copson, E. T.Proc. Roy. Soc. A222 (1954), 254261.Google Scholar
Mackie, A. G. and Weir, D. G.Proc. Camb. Phil. Soc., 56 (1960), 6474.CrossRefGoogle Scholar
Weir, D. G.Proc. Camb. Phil. Soc., 57 (1961), 890894.CrossRefGoogle Scholar
Courant, R. and Friedrichs, K. O.Supersonic Flow and Shock Waves (New York, 1948), p. 150Google Scholar