THE FLOW OF HEAT THROUGH PLATES
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The speed is calculated with which the steady flow of heat is established in a slab of uniform temperature after one boundary plane has been suddenly brought to a higher temperature, or when the temperature of both planes is changed. In both cases the flow of heat may be expressed by means of simple theta functions, and the law of approach to the steady state may be used for determining the diffusivity of the material. When one boundary plane undergoes sinusoidal variations in temperature while the other is maintained at a constant level, a finite thickness is found for which, in the steady state, the heat flowing in or out during one half-cycle reaches its highest value.
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2012 ◽
Vol 17
(6)
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pp. 1227-1251
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2003 ◽
Vol 76
(4)
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pp. 876-891
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2011 ◽
Vol 78
(2)
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pp. 165-174
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2005 ◽
Vol 488-489
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pp. 287-290
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1970 ◽
Vol 320
(1540)
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pp. 71-100
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