Heat Conduction Through Eccentric Hollow Prismatic Cylinders

Abstract

Heat conduction through prismatic hollow cylinders has been analyzed using a semi-analytical two-dimensional boundary collocation technique. This problem has been solved with the prior assumption of isothermal inner and outer walls. The methodology consists in using the exact solution of the governing differential equation of the problem and satisfying the given boundary conditions only at a finite number of discrete points. Based on the outcome of this method conduction shape factor of such geometry is calculated. The position of the eccentric hole in any prismatic cylinder can lead to different orientations. Two orientations are discussed. A comparison with existing one-dimensional solution to this problem is carried out and found that the present technique can predict more accurately than the existing one-dimensional approach.