Nodeless Variables Finite Element Method for 2D Heat Transfer Problems

Abstract

Nodeless variables finite element method is presented to predict the temperature distribution forheat transfer problems. The paper first describes 2D heat transfer theory. The finite element formulationsbased on nodeless variables, the computational procedure and its boundary conditions are then represented.The validated examples with analytical solution of the proposed technique are a rectangular plate withperiodic temperature problem, a rectangular plate with internal heat generation problem as well as aperiodic temperature problem and heat generation in eye during phacoemulsification. The solutions showthat the nodeless variables finite element method can be employed to predict the temperature distributionefficiently.

Keywords : Nodeless Variables Finite Element Method / 2D Heat Transfer