Heat conduction problems in rarefied gases confined within the solid boundaries of two concentric cylinders and spheres have been studied using the four moment method. A two‐sided velocity distribution function is assumed for the gas. The two number densities and the two temperatures in the distribution are the four unknowns of the problem. Unlike previous analyses, a series expansion of these four unknowns in terms of the temperature difference is introduced to account for problems with finite temperature differences. Closed‐form solutions are thus obtainable. An example of a calculation is presented for cases retaining the second‐order terms in the expansion. The results show that the heat conduction ratio of Q/Qfm, where Qfm is the heat conduction rate at the free molecular limit, is a function of the temperature difference ε. Previous results of small temperature difference are recovered by taking the limit of ε→0.

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