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A review of theoretical treatments of shock-tube attenuation

Published online by Cambridge University Press:  28 March 2006

D. A. Spence  and
B. A. Woods
D. A. Spence
Affiliation:
Royal Aircraft Establishment, Farnborough, Hants.
B. A. Woods
Affiliation:
Royal Aircraft Establishment, Farnborough, Hants.
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Abstract

A critical review is given of theories dealing with viscous effects in shock tubes for cases in which the boundary layer is thin compared with the diameter. In particular an examination of the radial variation of flow quantities is used to show that the approach of Mirels (1957) is based on firmer ground than that of Trimpi & Cohen (1955). It is also shown that the small perturbation theories of these and other authors lead to an equation for running time identical in form to that derived by Roshko (1960) from an asymptotic analysis of boundarylayer leakage through the interface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 2 , June 1964 , pp. 161 - 174
Copyright
© 1964 Cambridge University Press

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