On adiabatic-isothermal mixed boundary conditions in heat transfer

Abstract

Mixed boundary conditions of the adiabatic-isothermal type are often encountered in heat transfer problems. In some cases, singular behaviour may lead to erroneous results in determining the temperature and flow fields and evaluating the heat transfer. In this study, steady heat conduction in a square plate with mixed boundary condition on a straight boundary has been studied using finite difference and control volume methods. A method has been proposed to overcome the difficulties encountered in singular cases. Convergence criteria used in the numerical treatment of these problems have been discussed.