RESEARCH PAPERS: Heat Conduction

Multidimensional Inverse Heat Conduction Using the Monte Carlo Method

[+] Author and Article Information
A. Haji-Sheikh, F. P. Buckingham

Department of Mechanical Engineering, The University of Texas at Arlington, Arlington, TX 76019-0023

J. Heat Transfer 115(1), 26-33 (Feb 01, 1993) (8 pages) doi:10.1115/1.2910662 History: Received April 30, 1992; Revised July 16, 1992; Online May 23, 2008


The Monte Carlo method is used to solve inverse heat conduction problems when the surface temperature is spatial and time dependent. The standard random walk is modified to deal with curved boundaries. The proposed random walk has all the characteristics of the floating random walk, except its step size is small. This is a uniquely flexible method with excellent accuracy and it is computationally fast. The method is used to solve one- and three-dimensional heat conduction problems and the results are presented. A procedure is described to improve the accuracy of the solution, then used to calculate heat transfer from a cylindrical surface cooled by a stream of air.

Copyright © 1993 by The American Society of Mechanical Engineers
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