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Analysis of compressible flows around a uniformly expanding circular cylinder and sphere

Published online by Cambridge University Press:  11 April 2006

Takeyoshi Kimura  and
Michihisa Tsutahara
Takeyoshi Kimura
Affiliation:
Department of Mechanical Engineering, Kobe University, Rokko, Nada, Kobe, Japan
Michihisa Tsutahara
Affiliation:
Department of Mechanical Engineering, Kobe University, Rokko, Nada, Kobe, Japan
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Abstract

The flows caused by a uniformly expanding circular cylinder or sphere in a perfect gas at rest at various (from small to very large) expansion velocities are analysed by a method of successive approximations in which the first approximation represents the incompressible flow. The shock waves which form around the bodies are also treated. The results for a sphere, even up to the third approximation, agree closely with Taylor's (1946) calculations for all the expansion rates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 4 , 23 March 1977 , pp. 625 - 630
Copyright
© 1977 Cambridge University Press

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References

Howarth (ed.) 1953 Modern Developments in Fluid Dynamics. Oxford University Press.
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Sakurai, A. 1975 J. Phys. Soc. Japan, 38, 1760–1768.
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics. Academic.
Taylor, G. I. 1946 Proc. Roy. Soc. A 186, 274–292.
Van Dyke, M. D. 1964 Perturbation Methods in Fluid Mechanics. Academic.