Numerical Anisotropic Heat Conduction Solutions Using Boundary-Fitted Coordinate Systems

Abstract

A numerical method is presented and applied to the solution of two-dimensional steady-state, anisotropic heat conduction problems. The solution method employs the boundary-fitted coordinate system technique which transforms the region under study onto a fixed rectangular domain where computations are done easily. Consequently, the procedure eliminates the shape of the boundary as a complicating factor. The method is quite general and can handle any multiply-connected, arbitrary-shaped region. Two examples, a solid disk and an eccentric annulus, are worked out to demonstrate the utility of the method. Isotherm results check with previously published solutions.

Numerical Modelling of Anisotropic Heat Recirculation in Microcombustors

“…McWhorter and Sadd [33] suggested this may be due to BEM being more universally applicable (particularly to irregularly shaped domains) than other methods. However numerous anisotropic BEM studies including McWhorter and Sadd [33,12] also acknowledge the numerical difficulties BEM faces, particularly those outlined in Section 3.3.1. As also stated previously in this section BEM will not be the focus of this thesis.…”

Process Modeling of Heat Transfer and Crystallization in Complex Shapes Thermoplastic Composites

“…No boundary movement was accounted for in the analysis. McWhorter and Sadd [11] used the BFC method to study steadystate heat conduction in anisotropic material of arbitrary shapes with constant but directional thermal conductivities. The central finite difference method was utilized to discretize the energy equation for a stationary boundary system.…”