Author(s)

J. Caldwell & C.K. Chiu

Abstract

Numerical solution to two-phase Stefan problems by the heat balance integral method J. Caldwell & C.K. Chiu Department of Mathematics, City Polytechnic of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong ABSTRACT Caldwell and Chiu [1, 2] have used a simple front-fixed method, namely, the Heat Balance Integral Method (HBIM), to solve one-phase solidification problems. In this paper the method is extended to two-phase Stefan prob- lems which arise when the effect of sub-cooling is taken into consideration. Numerical results for the two-phase cylindrical problem are obtained for a range of sub-divisions (n), sub-cooling parameters (0), Stefan number (a) and ratio of conductivities (/Keywords