Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
On the Graphical Solution of the Problem of Heat Condution, when Two or More Solids of Different Matter are put together in Layers
Y. Takahasi
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1942 Volume 20 Issue 6 Pages 188-206

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Abstract

Suppose that two solids of different matter extend to x<O and x>O, being in contact with each other at the plane x=0. If the temperature of these two solids at time t is given by u1 (x, t) and u2(x, t) respectively, the formula (5) or the simplifiedones (5I), (5II) give the temperature at the contact plane at the next time t+τ, which must satisfy the condition of the conservation of heat at that plane. And the temperature of the solids at t+τ, u1(x, t+τ) and u3(x, t+τ) can be calculated by the method for the ease, when the surface temperature of solid is given by a function of time. This method is not complete, and the error more or less occures in the neighbourhood of the contact pane, but the method is approval by the reason of the simplicity of calculation, if the variations of temperature are to be known only approximately. Refer also to my previous papers, printed in No.8, No.11, 1941, and No.1, 1942 of the same magazine.

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