Solution for transient heat conduction problem with low Biot number

Abstract

Paper presented at the 9th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Malta, 16-18 July, 2012.Mechanical systems such as brakes and clutches experience short periods of intense heating. The heat lost from the exposed surfaces is small or even negligible compared to the frictional heat generated during a single engagement. The Biot number for such systems is known to be very low. The general transient solution is often obtained by the superposition of a particular solution and the solution of the corresponding homogenous problem. This paper presents the finite element realization of this method when the Biot number is low.