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Concerning marginal singularities in the boundary-layer flow on a downstream-moving surface

Timoshin, SN; (1996) Concerning marginal singularities in the boundary-layer flow on a downstream-moving surface. J FLUID MECH , 308 171 - 194. 10.1017/S0022112096001449. Green open access

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Abstract

The formation of separation singularities in solutions of the classical boundary-layer equations is studied numerically and analytically for the case of a two-dimensional incompressible steady flow near a solid surface moving in the direction of the main stream. Unlike the previously studied regime of the incipient separation located at the maximum point in the external pressure distribution, the breakdown in this work occurs under an adverse pressure forcing and involves a regular flow field upstream of the Moore-Rolt-Sears point with an algebraic non-analyticity downstream. Small deviations from the precisely regular approach to the singular point are shown to result in an exponential amplification of linear disturbances; in the subsequent nonlinear stage the solution terminates in a finite-distance blow-up singularity or, alternatively, continues in a regular fashion across the singular station. The case of asymptotically small slip velocities is considered and a connection with marginal separation on a fixed wall is discussed.

Type:Article
Title:Concerning marginal singularities in the boundary-layer flow on a downstream-moving surface
Open access status:An open access version is available from UCL Discovery
DOI:10.1017/S0022112096001449
Publisher version:http://dx.doi.org/10.1017/S0022112096001449
Language:English
Additional information:© 1996 Cambridge University Press
Keywords:SEPARATION
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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