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

M.R. Turner, P.W. Hammerton

Research output: Contribution to journalArticle

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).
Original languageEnglish
Pages (from-to)355-381
Number of pages27
JournalJournal of Fluid Mechanics
Volume562
DOIs
Publication statusPublished - 2006

Bibliographical note

© 2006 Cambridge University Press

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