Linear stability theory of oscillatory Stokes layers
- 27 February 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 62 (4) , 753-773
- https://doi.org/10.1017/s0022112074000929
Abstract
The stability of the oscillatory Stokes layers is examined using two quasi-static linear theories and an integration of the full time-dependent linearized disturbance equations. The full theory predicts absolute stability within the investigated range and perhaps for all the Reynolds numbers. A given wavenumber disturbance of a Stokes layer is found to bemore stablethan that of the motionless state (zero Reynolds number). The quasi-static theories predict strong inflexional instabilities. The failure of the quasi-static theories is discussed.Keywords
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