University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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.

[img]
Preview
PDF
paper1.3.pdf
Available under License : See the attached licence file.

Download (623kB)
[img] Plain Text (licence)
licence.txt

Download (1kB)

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: 09 Jun 2014 13:29
URI: http://epubs.surrey.ac.uk/id/eprint/2910

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800