On Blow-up Solutions in Marginally Separated Triple-deck Flows

摘要

The present paper deals with blow-up solutions associated with the high Reynolds number asymptotic theory of unsteady, planar and marginally separated boundary layer flows. In particular, the case is treated in which a rapid focusing process results in the breakdown of the fully nonlinear triple-deck structure that governs the next stage on from classical marginal separation. The terminal form of these equations in the event of such a blow-up were successfully solved numerically by the use of a scheme based on Chebyshev polynomials for both spatial directions. Surprisingly, the computations showed that the terminal solutions for the flow quantities are not unique, but form a two-parametric family.