The Temperature Field Around a Spherical Ridge or Trough in a Plane

[+] Author and Article Information
J. Fransaer, J. R. Roos

Department of Metallurgy and Materials Engineering, Katholieke Universiteit Leuven, B-3001 Heverlee, Belgium

J. Heat Transfer 114(2), 317-325 (May 01, 1992) (9 pages) doi:10.1115/1.2911278 History: Received December 01, 1990; Revised October 01, 1991; Online May 23, 2008


An analytical solution, which describes the temperature field around a single spherical particle partly embedded in a plane or around a trough making an arbitrary contact angle with a plane, is presented here. The temperature distributions for three cases are studied: the temperature distribution around a conducting bowl or trough, the temperature distribution around a non-conducting bowl or trough present in a conducting plane, and the temperature profile around a conducting bowl or trough conducting heat toward a sink at infinity. The normalized heat flux distribution on the plane and particle is presented. The various incremental resistances caused by a single and a dilute planar random array of truncated spherical particles are also derived.

Copyright © 1992 by The American Society of Mechanical Engineers
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