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Applications of the theory of the general hodograph equation

Part II. The non-symmetric flow at sonic speed past a flat plate

Published online by Cambridge University Press:  24 October 2008

A. G. Mackie
A. G. Mackie
Affiliation:
st salvator's CollegeSt Andrews
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Abstract

For a gas with a general equation of state the stream function for the flow past a flat plate is determined when the plate is held at an angle ½π–α to the stream. At infinity the Mach number M1 = 1 and free streamlines, on which M1 = 1, extend from the edges of the plate to infinity downstream. The method of solution requires the determination of the correct singularity corresponding to the free stream and the subsequent satisfying of the boundary conditions. The drag coefficient is determined in the form of a contour integral and the computational problems in evaluating the drag are discussed. The integral is evaluated for small values of α for a gas with an equation of state as given by Tomotika and Tamada(6).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 4 , October 1962 , pp. 638 - 645
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

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