Kinetic Theory Description of Conductive Heat Transfer from a Fine Wire

摘要

The Maxwell moment method utilizing the two-sided Maxwellianuddistribution 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.udThe predicted heat transfer agrees very well with experiments performed by Bomelburg, 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-jumpudboundary condition shows that the two-sided character in theuddistribution function is a crucial factor in problems involving surface curvature.