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Studies on boundary-layer separation in unsteady flows using an integral method

Published online by Cambridge University Press:  20 April 2006

Michinori Matsushita ,
Shigeru Murata  and
Teruaki Akamatsu
Michinori Matsushita
Affiliation:
Department of Mechanical Engineering, Kyoto University. Japan
Shigeru Murata
Affiliation:
Department of Mechanical Engineering, Kyoto University. Japan
Teruaki Akamatsu
Affiliation:
Department of Mechanical Engineering, Kyoto University. Japan
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Abstract

A new two-parameter integral method is presented which is applicable to unsteady two-dimensional laminar boundary layers whether they are separated or not. The governing equations consist of three moments of the boundary-layer equation, and the assumed velocity profiles are those of unsteady trailing-edge flow and Falkner-Skan flow with slip. The governing equation system being hyperbolic, the spontaneous generation of a singularity associated with unsteady separation is confirmed as the focusing of characteristics. The obtained results of the boundary-layer quantities as well as the generation of separation singularity are in good agreement with those of exact methods (e.g. van Dommelen & Shen 1980) for starting flows of cylinders.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 149 , December 1984 , pp. 477 - 501
Copyright
© 1984 Cambridge University Press

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