IIR document

ON THE NUMERICAL SOLUTION OF TRANSFER PROCESSES IN NON-RECTANGULAR PRODUCTS.

Summary

FOR THE PURPOSE OF SOLVING NUMERICALLY TRANSIENT THERMAL OR MASS DIFFUSION PROBLEMS IN NON-RECTANGULAR GEOMETRIES, AN ELLIPSE IS ADOPTED AS REPRESENTATIVE DOMAIN. DIFFERENT ALTERNATING DIRECTION IMPLICIT METHODS ARE DEVELOPED USING A CYLINDRICAL COORDINATE SYSTEM, AN ORTHOGONAL CURVILINEAR SYSTEM AND A THIRD COORDINATE SYSTEM OBTAINED BY MAPPING THE LATTER PHYSICAL REGION ONTO A CARTESIAN COORDINATE SYSTEM. ALL OF THEM TOGETHER WITH THE CRANK-NICOLSON IMPLICIT METHOD AND A 8-NODED ISOPARAMETRIC FINITE ELEMENT METHOD, ARE APPLIED TO SOLVE A PARTICULARCASE (A CIRCULAR GEOMETRY) WHERE ANALYTICAL SOLUTIONS ARE AVAILABLE TO BE COMPARED TO AND THE INFLUENCE OF VARIOUS TIME AND SPACE DISCRETIZATIONS UPON THE RESULTS IS STUDIED. NUMERICAL STABILITY RESTRAINTS IN SOME USED METHODS AND ORIENTATIONS ON PERSONAL COMPUTER APPLICATIONS ARE GIVEN.

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Details

  • Original title: ON THE NUMERICAL SOLUTION OF TRANSFER PROCESSES IN NON-RECTANGULAR PRODUCTS.
  • Record ID : 1992-2266
  • 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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