By Lienhard J.H.IV, Lienhard J.H.V.

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The problem is that of assessing whether or not k is approximately constant in the range of interest. We could safely take k to be a constant for iron between 0◦ and 40◦ C (see Fig. 2), but we would incur error between −100◦ and 800◦ C. 1) that if k varies linearly with T , and if heat transfer is plane and steady, then q = k∆T /L, with k evaluated at the average temperature in the plane. If heat transfer is not planar or if k is not simply A + BT , it can be much more difficult to specify a single accurate effective value of k.

Transport Phenomena in Materials Processing. The Minerals, Metals & Materials Society, Warrendale, Pennsylvania, 1994. A comprehensive introduction to heat, mass, and momentum transfer from a materials science perspective. 28] W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho, editors. Handbook of Heat Transfer. McGraw-Hill, New York, 3rd edition, 1998. 2. Heat conduction concepts, thermal resistance, and the overall heat transfer coefficient It is the fire that warms the cold, the cold that moderates the heat.

Consider the general temperature distribution in a three-dimensional body as depicted in Fig. 1. For some reason (heating from one side, in this case), there is a space- and time-dependent temperature field in the body. 1 A three-dimensional, transient temperature field. isothermal surfaces, T1 , T2 , and so on. We next consider a very important vector associated with the scalar, T . 1) Fourier’s law “Experience”—that is, physical observation—suggests two things about the heat flow that results from temperature nonuniformities in a body.

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