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Stability of plane Couette flow for high Reynolds number

Published online by Cambridge University Press:  17 February 2009

G. B. Davis  and
A. G. Morris
A. G. Morris
Affiliation:
Department of Mathematics, The University of Wollongong, Wollongong, N.S.W.2500.
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Abstract

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Experimental evidence shows that plane Couette flow becomes unstable when the Reynolds number R reaches certain critical values. Linear stability theory does not predict these observations and has been unable to locate these instabilities. A Chebyshev/QR numerical technique is used to investigate much higher values of R than those previously tested. In particular, values of R up to 108 are confidently tested, whereas previously values of R up to only 2 × 104 have been considered.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 3 , January 1983 , pp. 350 - 357
Copyright
Copyright © Australian Mathematical Society 1983

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