Abstract

Abstract : A spectral method is used to solve for the unsteady, two-dimensional flow over a flat plate in the Reynolds number range of transition. The physical problem considered is the propagation of large amplitude (nonlinear) Tollmien-Schlichting waves in a boundary layer. The solutions are generally in qualitative agreement with nonlinear stability theories in that: (1) nonlinear effects can be destabilizing, (2) the growth/decay behavior of the primary mode is changed only slightly by nonlinear effects, and (3) the second temporal harmonic is usually a second spatial harmonic. There are, however, regions in the flow in which both (1) and (3) are not true. Details of the solution in such a region are given to illustrate the complex nonlinear wave interactions possible in a boundary layer. (Author)

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