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Steady separated flow in a linearly decelerated free stream

Leal, L. G. (1973) Steady separated flow in a linearly decelerated free stream. Journal of Fluid Mechanics, 59 (3). pp. 513-535. ISSN 0022-1120. doi:10.1017/S0022112073001680.

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Numerical methods are used to investigate the separated flow over a finite flat plate when the flow at large distances is given by the stream function ψ_∞ = -xy and the plate is situated on the x axis from - 1 to 1. The range of nominal Reynolds number is 10-800. Reduced-mesh calculations are used for fine resolution of the flow field in the immediate vicinity of the separation point. Streamlines, equivorticity lines, and shear stress and pressure gradient at the plate surface illustrate the overall structure of the flow. In each case the streamwise pressure gradient is less than that for undisturbed potential flow and the position of separation is consequently downstream of that predicted by classical boundary layer theory. The boundary-layer structure in the vicinity of the separation point shows a direct transition between the regular upstream behaviour and Dean’s (1950) solution right at separation with no sign whatever of intermediate singular behaviour of the type predicted by Goldstein (1948). The implications of these results for the structure of high Reynolds number, steady, laminar flow are discussed.

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Additional Information:© 1973 Cambridge University Press. Published Online March 29 2006; Received January 7 1972; Revised April 11 1973. The calculations reported in this paper were initiated while the author was a visitor to the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge. Thanks are due to this group for their hospitality and interest in this work, as well as to the director of the Computer Laboratory, who kindly provided access to the computer during this period. The author has benefited considerably during the course of this work from discussions with Professor A. Acrivos. The constructive criticisms of the various referees have led to considerable improvements in the manuscript for which the author is also grateful.
Issue or Number:3
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Official Citation:L. G. Leal (1973). Steady separated flow in a linearly decelerated free stream. Journal of Fluid Mechanics, 59 , pp 513-535 doi:10.1017/S0022112073001680
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33076
Deposited On:10 Aug 2012 17:16
Last Modified:09 Nov 2021 21:32

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