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TECHNICAL BRIEFS

Estimation of the Time-Dependent Profile of a Melting Front by Inverse Resolution

[+] Author and Article Information
B. Guerrier, H. G. Liu, C. Bénard

Lab. FAST, CNRS—Univ. Pierre et Marie Curie—Univ. Paris Sud, Campus Universitaire. Bât. 502. 91405 Orsay, Cedex, France

J. Dyn. Sys., Meas., Control 119(3), 574-578 (Sep 01, 1997) (5 pages) doi:10.1115/1.2801297 History: Received March 01, 1995; Online December 03, 2007

Abstract

The profile and time evolution of a solid/liquid interface in a phase change process is estimated by solving an inverse heat transfer problem, using data measurements in the solid phase only. One then faces the inverse resolution of a heat equation in a variable and a priori unknown 2D domain. This ill-posed problem is solved by a regularization approach: the unknown function (position of the melting front) is obtained by minimization of a two component criterion, consisting of a distance between the output of a simulation model and the measured data, to which a penalizing function is added in order to restore the continuity of the inverse operator. A numerical study is developed to analyze the validity domain of the identification method. From simulation tests, it is shown that the minimum signal/noise ratio that can be handled depends strongly on the position of the measurement sensors.

Copyright © 1997 by The American Society of Mechanical Engineers
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