Journal of Applied Mathematics

On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows

Stanford Shateyi, Precious Sibanda, and Sandile S. Motsa

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The study sought to investigate thermosolutal convection and stability of two dimensional disturbances imposed on a heated boundary layer flow over a semi-infinite horizontal plate composed of a chemical species using a self-consistent asymptotic method. The chemical species reacts as it diffuses into the nearby fluid causing density stratification and inducing a buoyancy force. The existence of significant temperature gradients near the plate surface results in additional buoyancy and decrease in viscosity. We derive the linear neutral results by analyzing asymptotically the multideck structure of the perturbed flow in the limit of large Reynolds numbers. The study shows that for small Damkohler numbers, increasing buoyancy has a destabilizing effect on the upper branch Tollmien-Schlichting (TS) instability waves. Similarly, increasing the Damkohler numbers (which corresponds to increasing the reaction rate) has a destabilizing effect on the TS wave modes. However, for small Damkohler numbers, negative buoyancy stabilizes the boundary layer flow.

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J. Appl. Math., Volume 2008 (2008), Article ID 835380, 15 pages.

First available in Project Euclid: 10 February 2009

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Shateyi, Stanford; Sibanda, Precious; Motsa, Sandile S. On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows. J. Appl. Math. 2008 (2008), Article ID 835380, 15 pages. doi:10.1155/2008/835380.

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