Free Convection From a Vertical Plate With Discontinuous Wall Temperature

[+] Author and Article Information
Matthew Kelleher

Department of Mechanical Engineering, Naval Postgraduate School, Monterey, Calif.

J. Heat Transfer 93(4), 349-356 (Nov 01, 1971) (8 pages) doi:10.1115/1.3449830 History: Received April 27, 1970; Revised August 17, 1970; Online August 11, 2010


Free convection from a vertical plate with a step discontinuity in wall temperature is analyzed by using asymptotic series. Expansions for the velocity and temperature profiles are obtained in the region immediately above the discontinuity. By series truncation, the wall heat flux is obtained in terms of a simple polynomial. Calculations are made for Pr = 0.72 and 10.0 and for various wall-temperature ratios. Comparison of the results with experimental data and previous numerical solutions is good.

Copyright © 1971 by ASME
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