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Hydrodynamic stability of the boundary layer on a continuous moving surface

Published online by Cambridge University Press:  28 March 2006

F. K. Tsou ,
E. M. Sparrow  and
E. F. Kurtz
F. K. Tsou
Affiliation:
University of Minnesota, Minneapolis, Minnesota Present address: Drexel Institute of Technology, Philadelphia, Pennsylvania.
E. M. Sparrow
Affiliation:
University of Minnesota, Minneapolis, Minnesota
E. F. Kurtz
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts
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Abstract

The characteristics of the laminar boundary layer on a continuous moving surface are described and an experiment is performed to demonstrate that such a flow is physically realizable. The hydrodynamic stability of the flow is analysed within the framework of small-perturbation stability theory. A complete stability diagram is mapped out. The critical Reynolds number is found to be substantially higher than that for the Blasius flow and, correspondingly, the critical layer lies closer to the wall. The disturbance amplitude function and its derivative are numerically evaluated, from which are derived the vector flow field of the disturbance, the resultant flow field (main flow plus disturbances), the root-mean-square distributions of the disturbance velocity components, and the distributions of the kinetic energy and the Reynolds stress. The energy criterion for stability is also investigated and is found to be consistent with the solutions of the eigenvalue problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 1 , September 1966 , pp. 145 - 161
Copyright
© 1966 Cambridge University Press

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