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A Finite Element Based Inverse Method for Two-Dimensional Heat Conduction Problems

[+] Author Affiliations
Kannan Subramanian, Harish P. Cherukuri

University of North Carolina at Charlotte

Paper No. IMECE2005-80623, pp. 133-139; 7 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part A
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4221-5 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


An inverse method for predicting surface heat fluxes as functions of time and space was developed and applied to several one-dimensional problems by Ling et al. [1]. The method is based on the Galerkin finite element method and takes advantage of the linearity between the computed temperatures and the instantaneous surface heat fluxes. In the present work, the method is extended to two-dimensions and applications are made to a rectangular domain and an axisymmetric domain. Several possibilities are considered for solution stabilization and the effect of these approximations on the flux predictions is analysed. Results from a study of the sensitivity of the fluxes to the temperature sensor locations are also presented.

Copyright © 2005 by ASME



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