RESEARCH PAPERS: Natural and Mixed Convection

Inverse Natural Convection Problem of Estimating Wall Heat Flux Using a Moving Sensor

[+] Author and Article Information
H. M. Park, O. Y. Chung

Department of Chemical Engineering, Sogang University, Shinsoo-Dong, Mapo-Gu, Seoul, Korea

J. Heat Transfer 121(4), 828-836 (Nov 01, 1999) (9 pages) doi:10.1115/1.2826072 History: Received January 21, 1999; Revised June 25, 1999; Online December 05, 2007


The inverse problem of determining heat flux at the bottom wall of a two-dimensional cavity from temperature measurement in the domain is considered. The Boussinesq equation is used to model the natural convection induced by the wall heat flux. The inverse natural convection problem is posed as a minimization problem of the performance function, which is the sum of square residuals between calculated and observed temperature, by means of a conjugate gradient method. Instead of employing several fixed sensors, a single sensor is used which is moving at a given frequency over the bottom wall. The present method solves the inverse natural convection problem accurately without a priori information about the unknown function to be estimated.

Copyright © 1999 by The American Society of Mechanical Engineers
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