Laminar Natural Convection under Nonuniform Gravity

[+] Author and Article Information
J. Lienhard, R. Eichhorn, V. Dhir

Mechanical Engineering Department, University of Kentucky, Lexington, Ky.

J. Heat Transfer 94(1), 80-86 (Feb 01, 1972) (7 pages) doi:10.1115/1.3449877 History: Received October 27, 1970; Online August 11, 2010


Laminar natural convection is analyzed for cases in which gravity varies with the distance from the leading edge of an isothermal plate. The study includes situations in which gravity varies by virtue of the varying slope of a surface. A general integral solution method which includes certain known integral solutions as special cases is developed to account for arbitrary position-dependence of gravity. A series method of solution is also developed for the full equations. Although it is more cumbersome it provides verification of the integral method.

Copyright © 1972 by ASME
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