Journal of Fluid Mechanics



Unsteady boundary layers close to the stagnation region of slender bodies


Tuncer  Cebeci a1, Keith  Stewartson a2 1 and Suzanne M.  Schimke a3
a1 Aerodynamics Research & Technology, Douglas Aircraft Company, Long Beach, CA
a2 Department of Mathematics, University College, London
a3 Aerodynamics Research & Technology, Douglas Aircraft Company, Long Beach, CA

Article author query
cebeci t   [Google Scholar] 
stewartson k   [Google Scholar] 
schimke sm   [Google Scholar] 
 

Abstract

The evolution of unsteady boundary layers on the plane of symmetry of a slender prolate spheroid in uniform motion at constant angle of attack after an impulsive start has been studied for the case of a prescribed pressure distribution. Calculated results have been obtained for angles of attack ranging from 30° to 50° and show, for example, that the unsteady-state solutions approach the steady-state solutions rapidly on the windward and leeward sides for α < αc ([approximate] 41°). This is also so on the windward side for α > αc. On the leeward side for α > αc, however, the unsteady boundary layer is initially unseparated, but develops a region of reversed flow with increasing time. Subsequently, the streamwise displacement thickness develops a pronounced peak, which leads to a singularity of the type observed by van Dommelen & Shen on a circular cylinder started impulsively from rest.

(Published Online April 20 2006)
(Received October 13 1983)
(Revised May 21 1984)



Footnotes

1 Deceased 7 May 1983.



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