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1 2002

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The effect of heating/cooling on the upper-branch stability of boundary layer flows over a compliant boundary

Motsa S. S., Gajjar J. S., Sibanda P.

Computer Assisted Mechanics and Engineering Sciences

2002

Vol. 9, No. 2

163-181

We investigate the evolution of Tollmien-Schlichting waves in boundary layers in the presence of moderate buoyancy arising from the heating or cooling of a compliant wall. We exploit the multi-deck structure of the flow in the limit of large Reynolds numbers to make an asymptotic analysis of the pertubed flow, along the upper-branch of the neutral stability curve, to derive linear neutral results. These results are discussed and are compared to rigid wall results. Also, a brief parametric study, based on the linear neutral results, is presented and the results are discussed.