Nonuniform Cooling of a Heat-Generating Cylinder or Sphere

[+] Author and Article Information
Walter Fagan

Peat, Marwick, Caywood, Schiller, and Company, Chicago, Ill.

Stuart Leipziger

Illinois Institute of Technology, Chicago, Ill.

J. Heat Transfer 88(3), 257-264 (Aug 01, 1966) (8 pages) doi:10.1115/1.3691532 History: Received October 14, 1964


A heat-generating solid cylinder or sphere is cooled in steady state with a heat transfer coefficient which varies arbitrarily on the surface. A solution is obtained which permits exact calculation of the temperature distribution. Simple approximate solutions are also obtained for the two cases where (a) the heat transfer coefficient does not differ greatly from its average value, and (b) the coefficient differs greatly from its average value. Numerical studies are made, and the errors resulting from the approximate solutions are calculated.

Copyright © 1966 by ASME
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