A problem in radial heat flow

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, , Citation H Goldenberg 1951 Br. J. Appl. Phys. 2 233 DOI 10.1088/0508-3443/2/8/305

0508-3443/2/8/233

Abstract

The heat equation is solved for the case of constant heat/unit volume/unit time, generated in a spherical region of a homogeneous infinite medium. Curves are drawn showing the transient temperature: (1) at the centre of the spherical region; (2) at the surface of the spherical region; and (3) at a distance from the centre of twice the radius. The transient temperature at any point of the medium may readily be calculated from the expressions derived, as, apart from material constants, these expressions involve only tabulated functions.

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10.1088/0508-3443/2/8/305