An efficient real-time scheme is developed to estimate the unsteady, spatially varying wall heat flux in a two-dimensional heat conduction system from the temperature measurement inside the domain. The algorithm is based on the Kalman filtering and the Karhunen-Loe`ve Galerkin procedure. Although the employment of the Kalman filtering technique allows the derivation of a set of sequential estimation equations, the real-time implementation of these equations is never feasible due to the tremendous requirement of computer time and memory. In the present scheme, this difficulty is circumvented by means of the Karhunen-Loe`ve Galerkin procedure that reduces the governing partial differential equation to a minimal set of ordinary differential equations. The performance of the present technique of inverse heat conduction problems is evaluated by several numerical experiments, and it is found to be very accurate as well as efficient.
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On the Solution of Multidimensional Inverse Heat Conduction Problems Using an Efficient Sequential Method
H. M. Park,
H. M. Park
Department of Chemical Engineering, Sogang University, Seoul, Korea
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W. S. Jung
W. S. Jung
Department of Chemical Engineering, Sogang University, Seoul, Korea
Search for other works by this author on:
H. M. Park
Department of Chemical Engineering, Sogang University, Seoul, Korea
W. S. Jung
Department of Chemical Engineering, Sogang University, Seoul, Korea
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division October 13, 2000; revision received April 19, 2001. Associate Editor: R. L. Mahajan.
J. Heat Transfer. Dec 2001, 123(6): 1021-1029 (9 pages)
Published Online: April 19, 2001
Article history
Received:
October 13, 2000
Revised:
April 19, 2001
Citation
Park , H. M., and Jung, W. S. (April 19, 2001). "On the Solution of Multidimensional Inverse Heat Conduction Problems Using an Efficient Sequential Method ." ASME. J. Heat Transfer. December 2001; 123(6): 1021–1029. https://doi.org/10.1115/1.1409260
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