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Far downstream analysis for the Blasius boundary-layer stability problem

Turner, MR (2007) Far downstream analysis for the Blasius boundary-layer stability problem QJMAM, 60 (3). 255 - 274.

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Abstract

In this paper, we examine the large Reynolds number (Re) asymptotic structure of the wave number in the Orr-Sommerfeld region for the Blasius boundary layer on a semi-infinite flat plate given by Goldstein (1983, J. Fluid Mech., 127, 59-81). 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 wave number.

Item Type: Article
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 24 Jun 2011 16:04
Last Modified: 23 Sep 2013 18:41
URI: http://epubs.surrey.ac.uk/id/eprint/2910

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