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The propagation of steady disturbances in a supersonic stream bounded on one side by a parallel subsonic stream

Published online by Cambridge University Press:  24 October 2008

L. Howarth
L. Howarth
Affiliation:
St John's CollegeCambridge
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Extract

The problem of the propagation of steady disturbance in a semi-infinite supersonic stream moving parallel to and bounded on one side by a subsonic stream is discussed and the complete solution obtained for any assumed form of incident disturbance. It is shown that a local initial disturbance generally produces a reflected wave extending to infinity both upstream and downstream of the initial disturbance. A (positive) pressure pulse as an incident wave produces pressure upstream and rarefaction downstream and the magnitude of the effects is calculated in a particular case. Conditions along the axis of symmetry are calculated for the subsonic region in this case.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 44 , Issue 3 , July 1948 , pp. 380 - 390
Copyright
Copyright © Cambridge Philosophical Society 1948

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References

* See Jeffreys, and Jeffreys, , Methods of Mathematical Physics (Cambridge, 1947), pp. 424–7.Google Scholar denotes principal value.

* Proc. Cambridge Phil. Soc. 43 (1947), 75–94.Google Scholar

† Meyer (in the Press).

* J. Aero. Sci. (Dec. 1946), p. 623.