A BEM Approach for Transient Conduction-Convection in Machining Processes

Abstract

A boundary element method (BEM) formulation for the solution of transient conduction-convection problems is developed here. A time-dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary-only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm. The proposed BEM algorithm is also used to investigate the transient thermal aspects of machining processes, and the numerical results are presented.