Numerical Solution Of Stefan Problems In Annuli
Author(s)
J.Caldwell & C.C. Chan
Abstract
Numerical solution of Stefan problems in
annuli
J.Caldwell & C.C. Chan
Department of Mathematics, City University of Hong Kong,
Kowloon, Hong Kong.
Abstract
A novel enthalpy formulation is applied to Stefan problems in annuli and is
compared with the heat balance integral method (HBIM). Both methods are
applied to inward and outward solidification in cylindrical geometry, and the
results are combined to give numerical solutions in annuli. It is found that the
enthalpy method gives comparable accuracy with the HBIM except for small
Stefan number, and is more efficient and flexible.
1 Introduction
Change of phase occurs naturally in many physical and industrial processes. The
classical phase change problem is that of melting or solidification via the
conduction of heat, which is referred to in the literature as the Stefan problem.
The main difficulty in solving this problem is the presence of a moving phase
boundary. Hill [1] gives an account of analytical
Keywords
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