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Propagation of waves of finite amplitude along a duct of non-uniform cross-section

Published online by Cambridge University Press:  28 March 2006

Jan Rościszewski
Jan Rościszewski
Affiliation:
Pierce Hall, Harvard University
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Abstract

This paper is concerned with the propagation of a simple wave along a duct of initially constant and then slowly varying cross-section. The equations of motion are linearized in the deviations from the simple wave solution. The solution for the propagation of a centred simple rarefaction wave is obtained in closed form and compared with the results of step-by-step calculations. The results are also found to be good when the area change is not small. Some remarks on boundary-layer influence are included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 4 , August 1960 , pp. 625 - 633
Copyright
© 1960 Cambridge University Press

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References

Backer, E. 1957 Ing. Archiv. 25.
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. New York: Interscience.
Owczarek, J. 1956 Quart. J. Mech. Appl. Math. 9, 143.
Rościszewski, J. 1959 J. Aero-Space Sci. 26, 388.
Rudinger, G. 1950 Wave Diagrams for Nonsteady Flow in Ducts. New York: Van Nostrand.