ON THE STABILITY OF OSCILLATING, PLANE COUETTE FLOW
- 1 January 1970
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 23 (1) , 127-136
- https://doi.org/10.1093/qjmam/23.1.127
Abstract
The analysis concerns the stability to small disturbances of plane Couette flow when the flow is composed of a periodic, unsteady velocity as well as a mean velocity. Attention is restricted mainly to the case of large values of the product of wave-number and Reynolds number. In this region, a resonant interaction is possible which diminishes the decay rate of small disturbances by a term proportional to the amplitude of the unsteady velocity. Numerical results indicate that the flow is quite unlikely to be destabilized by this mechanism.Keywords
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