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RESEARCH PAPERS

Temperature Field Due to a Time Dependent Heat Source of Spherical Geometry in an Infinite Medium

[+] Author and Article Information
T. A. Balasubramaniam, H. F. Bowman

Department of Mechanical Engineering, Northeastern University, Boston, Mass.

J. Heat Transfer 96(3), 296-299 (Aug 01, 1974) (4 pages) doi:10.1115/1.3450195 History: Received August 07, 1973; Online August 11, 2010

Abstract

A solution is given for the heat conduction problem in which a sphere generating heat, at a rate which is proportional to time raised to the minus one-half power, is embedded in an infinite medium. The solution is of use in the thermistor probe technique for the determination of both the thermal conductivity and diffusivity of media which wet the surface of the thermistor. The thermistor bead is treated as a spherical distributed thermal mass and the coupled thermal response of the bead and the medium are presented. Typical temperature profiles both in the sphere and in the surrounding medium are presented.

Copyright © 1974 by ASME
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