University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Asymptotic receptivity analysis and the Parabolized Stability Equation : a combined approach to boundary layer transition

Turner, MR and Hammerton, PW (2006) Asymptotic receptivity analysis and the Parabolized Stability Equation : a combined approach to boundary layer transition J. Fluid Mech, 562. 355 - 382.

[img]
Preview
PDF
paper1.2.pdf
Available under License : See the attached licence file.

Download (666kB)
[img] Plain Text (licence)
licence.txt

Download (1kB)

Abstract

We consider the interaction of free-stream disturbances with the leading edge of a body and its effect on the transition point. We present a method which combines an asymptotic receptivity approach, and a numerical method which marches through the Orr–Sommerfeld region. The asymptotic receptivity analysis produces a three-deck eigensolution which in its far downstream limiting form produces an upstream boundary condition for our numerical parabolized stability equation (PSE). We discuss the advantages of this method compared to existing numerical and asymptotic analysis and present results which justify this method for the case of a semi-infinite flat plate, where asymptotic results exist in the Orr–Sommerfeld region. We also discuss the limitations of the PSE and comment on the validity of the upstream boundary conditions. Good agreement is found between the present results and the numerical results of Haddad & Corke (1998).

Item Type: Article
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 24 Jun 2011 15:58
Last Modified: 09 Jun 2014 13:29
URI: http://epubs.surrey.ac.uk/id/eprint/2909

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