A Numerical Study of Developing Free Convection Between Isothermal Vertical Plates

[+] Author and Article Information
D. Naylor, J. M. Floryan, J. D. Tarasuk

The Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9

J. Heat Transfer 113(3), 620-626 (Aug 01, 1991) (7 pages) doi:10.1115/1.2910610 History: Received May 22, 1990; Revised December 14, 1990; Online May 23, 2008


Steady two-dimensional laminar free convection between isothermal vertical plates including entrance flow effects has been numerically investigated. The full elliptic forms of the Navier-Stokes and energy equations are solved using novel inlet flow boundary conditions. Results are presented for Prandtl number Pr = 0.7, Grashof number range 50 ≤ Grb ≤ 5×104 , and channel aspect ratios of L/b = 10, 17, 24. New phenomena, such as inlet flow separation, have been observed. The results cast doubt on the validity of previous elliptic solutions. Comparisons with the approximate boundary-layer results show that a full elliptic solution is necessary to get accurate local quantities near the channel entrance.

Copyright © 1991 by The American Society of Mechanical Engineers
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