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An asymptotic analysis of convection in boundary layer flows in the presence of a chemical reaction

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

Archives of Mechanics

2005

Vol. 57, nr 1

25--41

In this study we investigate the stability of two-dimensional disturbances imposed on a boundary layer flow over a semi-infinite flat plate in the presence of a reacting chemical species. Species concentration levels are assumed to be small, what is typical for many processes in water and in atmospheric air. We exploit the multi-deck structure of the flow in the limit of large Reynolds numbers to analyze asymptotically the perturbed flow. The neutral eigenrelations are obtained implicitly and limiting cases for large buoyancy and reaction kinematics are investigated. The results show some interesting effects of the Damkohler number on the wave number and wave speed of the disturbed flow.

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.