Asymptotic receptivity analysis and the parabolized stability equation: a combined approach to boundary layer transition

Turner, M. R. and Hammerton, P. W. (2006) Asymptotic receptivity analysis and the parabolized stability equation: a combined approach to boundary layer transition. Journal of Fluid Mechanics, 562. pp. 355-381. ISSN 0022-1120

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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
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Vishal Gautam
Date Deposited:	12 Sep 2011 09:04
Last Modified:	07 Feb 2023 15:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/26690
DOI:	10.1017/S0022112006001108

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