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By A. J. Ede

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BASIC LAWS AND DEFINITIONS It has been found by experiment that the rate at which heat is conducted depends on the temperature gradient and the nature of the material. The simplest situation is that of a uniform flow of heat in one direction only, such as would be produced in an infinite slab of uniform thickness d (Fig. 1) having its faces maintained at uni­ form temperatures ΘΗ and 9C. Under these conditions the tem­ perature gradient is (0A — 0c)/d9 and the steady heat transfer through an area A is given by [H/T] q=kA(eh-9c)/d.

This result is exact; but it is clearly a matter of considerable labour to evaluate the terms of the series, and this must be done afresh for every required value of x and t. Many of these exact solutions have been worked out for a range of values of the parameters involved, and are available in the 53 CONDUCTION literature, usually in the form of graphs or charts (Refs. 5, 12, 19, 34, 38, 42). One of the most useful cases is that of the slab just mentioned and for this a variety of different charts are available.

RADIATION 23 receiving radiation from the enclosure at the same rate, σΤ^ per unit area; it follows that, in the conditions of the problem, the body will receive radiation at a rate σΤ24 from the enclosure. The net heat flux from the body is accordingly φ=<χ(7\4-Γ24). 6) If the body is grey, with emissivity ε, it will emit at a rate of εσΤ^; it will receive σΤ24, as before, but will only absorb εσΓ 2 4 , since absorptivity equals emissivity by Kirchhoff's law. The net heat flux is thus φ=εσ(Τ14-Τ24).

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