Moving Free Surface Heat Transfer Analysis by Continuously Deforming Finite Elements

Abstract

A hvo-dimensional transient anolysis of forced-convection heat transfer is presented for a heated liquid with o free surfoce advancing into an initially empty channel of finite length at o lower temperature. The problem formulation is neitherpurely Eulerian nor purely Lagrangian. In particular, conservation equations for a control volume that deforms at a known rate are den'ved. These equations are used to derive a finite-element formulation thot encompasses continuous mesh deformation automatically and consistently, and numerical results of its solution are presented.