Conduction of Heat from Local Sources in a Medium Generating or Absorbing Heat
Glasgow mathematical journal, Tome 1 (1953) no. 4, pp. 164-169

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An infinite or semi-infinite medium, in which heat is generated or absorbed at a rate proportional to the temperature, is placed at temperature zero in contact with a perfect conductor of finite heat capacity at a higher temperature. Expressions are derived for the subsequent behaviour in linear and spherical cases, and applications suggested.
Paterson, S. Conduction of Heat from Local Sources in a Medium Generating or Absorbing Heat. Glasgow mathematical journal, Tome 1 (1953) no. 4, pp. 164-169. doi: 10.1017/S2040618500035681
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