Calculation of temperature distribution in a melting clad with the Pekeris-Slichter series expansion method

Abstract

The problem of temperature distribution in case of change of aggregation state is considered in cylindrical coordinates for a melting clad. The series expansion method introduced by Pekeris and Slichter for a problem of ice formation around a pipe is applied. The limiting assumption that the temperature in one region equals the fusion temperature has been removed. The analytical treatment is therefore generalized and temperature distributions in both phases are considered. A theoretical analysis of an in-pile experiment with clad melting and comparison of results with a discrete numerical approach confirms the applicability of the method to problems with fast transient conditions.