Heat Loss from a Partially Insulated Solid Body
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概要
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We investigate the problem of a thermally conducting solid, initially at a uniform temperature, part of whose surface is insulated. The uninsulated part of the surface radiates heat into a medium at zero temperature. We deal especially with the case in which the insulated and uninsulated regions cannot be represented as distinct coordinate surfaces in variables in terms of which the conduction equation is separable. An integral equation is derived for the boundary values of the ternperature and solutions of this equation are obtained in two special cases, viz. a semi-infinite solid insulated except for a single infinite strip, and the sarne solid insulated except for two equal parallel infinite strips at a considerable distance apart. In both cases we show that the solution can be represented for large values of the time t, by a series of inverse powers of log t. In case the strips are very narrow we obtain closed expression which approximate the sums of the series.
- 社団法人日本物理学会の論文
- 1956-09-05