Abstract
The present paper deals with initial value problems associated with the high Reynolds number asymptotic theory of unsteady, marginally separated boundary layer flows. In particular, the subsonic planar flow case is treated. Special emphasis is placed on solutions which blow up within finite time. As is well-known, steady solutions of the underlying equations only exist up to a critical value of the crucial parameter which controls the conditions leading to localized boundary layer separation. Our numerical analysis shows that any blow-up solution finally approaches a unique structure, entirely independently of the choice of initial data, sub- or super-critical flow conditions, and, if present at all, the type of forcing. Further support for the existence of a self-similar, unique blow-up structure is gained from asymptotic analysis.
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Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday
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Scheichl, S., Braun, S. & Kluwick, A. On a similarity solution in the theory of unsteady marginal separation. Acta Mech 201, 153–170 (2008). https://doi.org/10.1007/s00707-008-0079-6
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DOI: https://doi.org/10.1007/s00707-008-0079-6