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AN ALTERNATING DIRECTION, IMPLICIT FINITE DIFFERENCE SCHEME FOR HEAT CONDUCTION WITH PHASE CHANGE IN FINITE CYLINDERS.

Author(s) : CLELAND D. J., CLELAND A. C.

Summary

THE MOST PHYSICALLY REALISTIC MODEL FOR FREEZING OR THAWING OF SOLID MATERIALS IS THAT OF HEAT CONDUCTION WITH TEMPERATURE-VARIABLE THERMAL PROPERTIES. A THREE TIME LEVEL, ALTERNATING DIRECTION, IMPLICIT FINITE DIFFERENCE METHOD SUITABLE FOR SOLVING THIS MODEL IN FINITE CYLINDER GEOMETRIES IS DESCRIBED. THE METHOD IS SHOWN TO BE ACCURATE BY COMPARISON WITH AN ANALYTICAL SOLUTION FOR A SIMPLIFIED PROBLEM, THE FINITE ELEMENT METHOD AND EXPERIMENTAL FREEZING DATA. THE ADVANTAGE OF THIS METHOD OVER FINITE ELEMENTS IS SIGNIFICANTLY LOWER GRID GENERATION AND COMPUTATION COSTS. A 640 KILOBYTES PERSONAL COMPUTER CAN EASILY HANDLE THE COMPUTATIONS WHICH IS NOT TRUE FOR THE FINITE ELEMENT METHOD.

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Pages: 1855-1858

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Details

  • Original title: AN ALTERNATING DIRECTION, IMPLICIT FINITE DIFFERENCE SCHEME FOR HEAT CONDUCTION WITH PHASE CHANGE IN FINITE CYLINDERS.
  • Record ID : 1992-2277
  • Languages: English
  • Source: New challenges in refrigeration. Proceedings of the XVIIIth International Congress of Refrigeration, August 10-17, 1991, Montreal, Quebec, Canada.
  • Publication date: 1991/08/10
  • Document available for consultation in the library of the IIR headquarters only.

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