Abstract
An analytical solution, based on a simple postulated distribution of the effective thermal conductivity of the fluid, is derived for the temperature variations around the circumference of a circular tube arising from non-uniform wall heat flux. The results are in good agreement with an existing complex numerical solution and in some cases are probably more accurate. The accuracy of both solutions is mainly determined by the accuracy with which the effective eddy diffusivity of heat in the fluid is known. Published experimental data for a non-uniformly heated tube are used to establish the best value. A simple formula for calculating temperature variations around tubes in practical cases is proposed.
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