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Improved Lumped Model for Transient Heat Conduction in a Heat Generating Cylinder With Temperature-Dependent Thermophysical Properties

[+] Author Affiliations
Auro C. Pontedeiro

Brazilian Nuclear Energy Commission (CNEN), Rio de Janeiro, RJ, Brazil

Renato M. Cotta, Jian Su

Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil

Paper No. HT-FED2004-56051, pp. 37-42; 6 pages
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 4
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4693-8 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME


This paper presents improved lumped-differential formulations for one dimensional transient heat conduction in a heat generating cylinder with temperature-dependent thermo-physical properties. Two points Hermite approximations for integrals (H1,1 /H1,1 ) are used to approximate the average temperature and the heat flux in the radial direction. As a testing case, transient heat conduction in a nuclear fuel rod was computed with the thermo-physical properties represented by correlations from MATPRO — a Library of Materials Properties for Light-Water-Reactor Accident Analysis. The problem was formulated and solved using the symbolic/numerical computation software system MATHEMATICA. The solution of the proposed improved lumped models is validated by a numerical solution of the original distributed parameter formulation.

Copyright © 2004 by ASME



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