Thermal analysis of an infinite slab during quenching

Abstract

This paper deals with finite-element solution of two-dimensional convection-diffusion equation in an infinite domain, arising out of quenching of an infinite slab. The solution gives the quench front temperature as a function of various model parameters, such as Biot number and Peclet number. The results show good agreement with available closed-form solutions, thus validates the numerical procedure adopted. It is therefore expected that the present method of solution may be extended to quenching problems involving heat generation and precursory cooling, etc., in various other geometries.