Numerical study of boundary layer flow and heat transfer on a continuous surface with solidification

The process of convective heat transfer with solid-liquid phase change on a chilled continuous cylinder travelling steadily through a bath of quiescent warm liquid is studied numerically. The equations governing heat convection in the liquid flow field that is induced by the motion of the cylinder are solved simultaneously with the equations governing heat conduction in the solid region to determine the general behavior of the system. A finite-difference analysis of the problem is performed and the sol id-liquid interface location is immobilized by transforming the system of governing equations into a dimensionless space. Various independent parameters which control the system behavior are identified and their effects on the solidified layer and the convective flow field are determined. The accuracy of the computational scheme is validated by comparing the numerical results with asymptotic similarity and integral solutions.