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Linear stability of two-dimensional flow to three-dimensional perturbations in a channel with a flexible wall

Sibanda P., Motsa S. S., Shateyi S.

Archives of Mechanics

2004

Vol. 56, nr 4

293-311

In this paper we investigate the effects of three-dimensional disturbance waves on the stability of a two-dimensional channel flow with one compliant surface. The study exploits the multideck structure of the flow in the limit of large Reynolds numbers to make an asymptotic analysis of the flow and to derive linear neutral stability results. The study shows that for a flow over flexible surfaces, three-dimensional disturbances may be more unstable than two-dimensional modes for a given set of wall properties.

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.