A Study of Two Dimensional Heat Conduction in Exchanger Tubes of Non-Circular Cross-Section

Abstract

Two types of heat conduction problems have been investigated in this literature. Firstly, the steady state heat conduction through a two dimensional domain of both inner and outer noncircular cross-section whose inner and outer surface are kept at constant but different temperatures and it is solved by using a two dimensional semi-analytic technique called boundary collocation method. In the second case, the steady state heat conduction through the same two dimensional domain whose inner surface is kept at a constant temperature and outer surface is subjected to convective condition is solved using boundary collocation method. Some of the boundary conditions are applied to find the generalised solution of the governing differential equation and the rest of the boundary conditions are used via boundary collocation method for numerical solution. In the boundary collocation method, equal number of points on the inner boundary and on the outer boundary are considered and then necessary numerical method has been adopted to get the complete solution.