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Abstract
The transient heat transfer problem of solidification of a liquid in a buried pipe is analyzed. The system is cooled from a horizontal flat top surface. An unusual grid system in three-dimensional cylindrical geometry is devised. The solution is obtained using a string-intersected-boundary formulation and a three-level alternating direction implicit finite difference method. The resulting set of finite difference equations was solved using the University of Calgary CDC Cyber 205. The starting time of freezing, the ice profile, and the temperature distributions inside the pipe are all predicted
Notes
A. Negiz is currently at the Chemical Engineering Department, Illinois Institute of Technology, Chicago, 1L 60616, USA.
This work was supported by the Natural Sciences and Engineering Research Council of Canada. M. A. Hastaoglu acknowledges King Fahd University of Petroleum and Minerals.