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Linear stability theory of oscillatory Stokes layers

Published online by Cambridge University Press:  29 March 2006

Christian Von Kerczek  and
Stephen H. Davis
Christian Von Kerczek
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University
Stephen H. Davis
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University
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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 be more stable than 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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 62 , Issue 4 , 27 February 1974 , pp. 753 - 773
Copyright
© 1974 Cambridge University Press

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