Supercritical Solutions for the Buoyancy Boundary Layer

[+] Author and Article Information
P. A. Iyer

General Atomic Corp., San Diego, Calif.

R. E. Kelly

Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024

J. Heat Transfer 100(4), 648-652 (Nov 01, 1978) (5 pages) doi:10.1115/1.3450871 History: Received January 20, 1978; Online August 11, 2010


Two-dimensional, finite amplitude solutions for the Prandtl buoyancy boundary layer are obtained for Reynolds numbers close to the critical values by an expansion in terms of disturbance amplitude. Supercritical nonlinear wave solutions are found to occur, rather than subcritical instabilities. The dependence of the wave amplitude and Nusselt number upon wall inclination, relative wall temperature, and Prandtl number is discussed.

Copyright © 1978 by ASME
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