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HEAT DIFFUSION IN HETEROGENEOUS BODIES USING HEAT-FLUX-CONSERVING BASIS FUNCTIONS.

Author(s) : HAJI-SHEIKH A.

Type of article: Article

Summary

A GENERALIZED ANALYTICAL DERIVATION ENABLES ONE TO OBTAIN SOLUTIONS TO THE DIFFUSION EQUATION IN COMPLEX HETEROGENEOUS GEOMETRIES. A NEW METHOD OF CONSTRUCTING BASIS FUNCTIONS IS INTRODUCED. A SET OF BASIS FUNCTIONS PRODUCED IN THIS MANNER CAN BE USED IN CONJUNCTION WITH THE GREEN'S FUNCTION DERIVED THROUGH THE GALERKIN PROCEDURE TO PRODUCE A USEFUL SOLUTION METHOD. A SIMPLE GEOMETRY IS SELECTED FOR COMPARISON WITH THE FINITE DIFFERENCE METHOD. NUMERICAL RESULTS OBTAINED BY THE METHOD ARE IN EXCELLENT AGREEMENT WITH FINITE-DIFFERENCE DATA.

Details

  • Original title: HEAT DIFFUSION IN HETEROGENEOUS BODIES USING HEAT-FLUX-CONSERVING BASIS FUNCTIONS.
  • Record ID : 1989-0051
  • Languages: English
  • Source: J. Heat Transf. - vol. 110 - n. 2
  • Publication date: 1988
  • Document available for consultation in the library of the IIR headquarters only.

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