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S. Braun, A. Kluwick:
"Blow-up and control of marginally separated boundary layers";
Philosophical Transactions of the Royal Society of London A (invited), 363 (2005), 1830; 1057 - 1067.

Key words: separation bubble, laminar-turbulent transition, Fisher equation, finite time blow-up, moving singularities, flow control

Interactive solutions for steady two-dimensional laminar marginally separated boundary layers are known to exist up to a critical value Gamma_c of the controlling parameter (e.g. the angle of attack of a slender airfoil) Gamma only. Here we investigate three-dimensional unsteady perturbations of such boundary layers assuming that the basic flow is almost critical, i.e. in the limit Gamma_c-Gamma -> 0. It is then shown that the interactive equations governing such perturbations simplify significantly allowing, among others, a systematic study of the blow-up phenomenon observed in earlier investigations and the optimization of devices used in boundary layer control.

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC05936596

http://www.journals.royalsoc.ac.uk/openurl.asp?genre=article&id=doi:10.1098/rsta.2005.1549