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Roll-up of vorticity in adverse-pressure-gradient boundary layers

Published online by Cambridge University Press:  21 April 2006

M. E. Goldstein ,
P. A. Durbin  and
S. J. Leib
M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135, USA
P. A. Durbin
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135, USA
S. J. Leib
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135, USA
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Abstract

It is shown how the unsteady, nonlinear critical-layer equation determines the evolution of instability waves in a weak adverse-pressure-gradient boundary layer. Numerical solutions show that the nonlinearity halts the growth of these inviscidly unstable waves. The stabilizing effect of nonlinearity, in the present case, can be described as a consequence of either the increase (toward zero) of the phase jump across the critical layer or the roll-up of the critical-layer disturbance vorticity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 183 , October 1987 , pp. 325 - 342
Copyright
© 1987 Cambridge University Press

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