A CONSERVATIVE FORMULATION OF THE APPARENT HEAT CAPACITY METHOD FOR HEAT TRANSFER PROBLEMS WITH PHASE CHANGE

摘要

In this paper we consider solving the transient heat transport problems with phase change by the apparent heat capacity method (AHCM). To improve the conventional AHCM we propose an alternative formulation for time discretization. By introducing a nominal heat capacity, the new formulation can better approximate the time derivative of enthalpy while still maintains the same convenient form as the conventional AHCM. In addition, the new time discretization also establishes an equivalent relation between the basic enthalpy formulation and the new AHCM. The new formulation is tested through a 1-D Stefan problem and its advantages are examined.