Temperature Profile on the Boundary of Solution Domain for a Potential Problem Using BEM

Heat diffusion particularly in buried pipes is of great interest in oil and gas industries. This research models heat transfer in square cross-section pipes for simplicity, under isotropic conditions. Heat transfer in the exterior domain of the pipe is investigated to determine temperature profile. The governing equation is then reformulated into BIE using Greens theorem, and due to singularities, BEM is used to discretize the integral equations which are the solved numerically and the results illustrated graphically.