Far downstream analysis for the Blasius boundary-layer stability problem

Turner, M.R. (2007) Far downstream analysis for the Blasius boundary-layer stability problem Quarterly Journal of Mechanics and Applied Mathematics, 60 (3). pp. 255-274. ISSN 0033-5614

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Abstract

In this paper we examine the large Reynolds number, Re, asymptotic structure of the wavenumber in the Orr-Sommerfeld region, for the Blasius boundary-layer on a semi-infinite flat plate given by Goldstein (1). We show that the inclusion of the term which contains the leading order non-parallel effects, at O(Re^{−1/2}), leads to a non-uniform expansion. By considering the far downstream form of each term in the asymptotic expansion, we derive a length scale at which the non-uniformity appears, and compare this position with the position seen in plots of the wavenumber.

Item Type: Journal article
Subjects: G000 Computing and Mathematical Sciences > G100 Mathematics
Faculties: Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Engineering and Product Design Research > Automotive Engineering
Depositing User: Dr Matthew Turner
Date Deposited: 10 Nov 2009
Last Modified: 21 May 2014 11:01
URI: http://eprints.brighton.ac.uk/id/eprint/6458

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