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

Turner, M.R. and Hammerton, P.W. (2006) Asymptotic receptivity 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 against existing numerical and asymptotic analysis and present results which justifies 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 and Corke (1998).

Item Type: Journal article
Additional Information: © 2006 Cambridge University Press
Subjects: G000 Computing and Mathematical Sciences > G100 Mathematics
DOI (a stable link to the resource): 10.1017/S0022112006001108
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: 26 Nov 2009
Last Modified: 21 May 2014 11:01
URI: http://eprints.brighton.ac.uk/id/eprint/6472

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