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SOLUTION OF AN INVERSE PROBLEM TO DETERMINE HEAT SOURCE STRENGTH AND LOCATION

DOI: 10.1615/ICHMT.2017.CHT-7.1920
pages 1807-1810

Ardeshir Bangian Tabrizi
Mechanical Engineering Department, Rutgers University, Piscataway, NJ, USA

Yogesh Jaluria
Department of Mechanical and Aerospace Engineering Rutgers-New Brunswick, The State University of New Jersey Piscataway, NJ 08854, USA

Résumé

In many practical situations, the desired result is given, but the conditions needed for achieving this are unknown. This circumstance leads to inverse problems, which are of particular interest in thermal processes and systems. For instance, the temperature cycle to which a component must be subjected in order to obtain desired characteristics in a manufacturing system are known or prescribed. However, the boundary and initial conditions, in terms of heat input, pressure, flow rate and temperature, are not known and must be determined by solving the inverse problem. A method based on a search and optimization approach is developed to solve the inverse natural convection problem of a two-dimensional heat source on a vertical flat plate. The inverse problem involves determination of the strength and location of the heat source by employing a few selected data points downstream. This is achieved by numerical simulations of the region at differing source strengths and locations, thus obtaining relevant temperature interpolation function of source location and strength for selected data points. A search based optimization method, particle swarm optimization (PSO), is then applied to find the best pair of heights for input of data. The system of equations based on their respective relations is solved to obtain solution to the inverse problem. The goal of this method is to reduce the uncertainty and approach unique solutions for different source strength and location. The error of the method is found to be acceptable for both source strength and location.

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