Availability of One Dimensional Analysis for Extended Surface Heat Transfer

Abstract

For heat transfer through the extended surfaces of fundamental configurations one dimensional analytical solutions have been obtained in relation to the specified boundary conditions. After the examination of the effect of the configuration and heat Transfer parameters on the ratio of the system effectivenss η₁/η₂, where η₁ and η₂ are the system effectiveness for one dimensional heat flow and that obtained numerically for two dimensional heat flow, repectively, comparatively large differences between η₁ and η₂ are seen in the case of one dimensional analysis with the traditional boundary condition. On the other hand, only small deviations are found in the case of another slightly complicated boundary condition in the region of practical design parameters.