Kinetic-theory description of conductive heat transfer from a fine wire

Abstract

The Maxwell moment method utilizing the two-sided Maxwellian distribution function is applied to the problem of conductive heat transfer between two concentric cylinders at rest. Analytical solutions are obtained for small temperature differences between the cylinders. The predicted heat transfer agrees very well with experiments performed on the heat loss from a fine wire by Bomelburg and Schäfer, Rating, and Eucken. Comparison with results given by Grad's thirteen-moment equations, and with those given by Fourier's "law" plus the Maxwell-Smoluchowski temperature-jump boundary condition, shows that the two-sided character of the distribution function is a crucial factor in problems involving surface curvature. Copyright © 1962 by the American Institute of Physics.