Vortex Instability of Mixed Convection Flow over a Horizontal Flat Plate

[+] Author and Article Information
A. Moutsoglou, T. S. Chen

Department of Mechanical and Aerospace Engineering, University of Missouri-Rolla, Rolla, MO 65401

K. C. Cheng

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada

J. Heat Transfer 103(2), 257-261 (May 01, 1981) (5 pages) doi:10.1115/1.3244450 History: Received March 23, 1980; Online October 20, 2009


The vortex instability of laminar, mixed-convection flow over an isothermal, horizontal flat plate is investigated analytically by the linear stability theory. In the analysis, the main flow and thermal fields are treated as non-parallel and the disturbances are assumed to have the form of a stationary longitudinal vortex roll that is periodic in the spanwise direction. Numerical results for the critical Grashof and Reynolds numbers that predict the first occurrence of the vortex rolls are obtained for fluids with Prandtl numbers of 0.7 and 7. It is found that the flow becomes more susceptible to vortex mode of instability as the buoyancy force increases. The present results are compared with available experimental data and also with analytical results from the wave mode of instability.

Copyright © 1981 by ASME
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