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A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source
Authors:Fung-Bao Liu
Affiliation:1. University of Le Havre, BP 540, 76600 Le Havre, France;2. University of Technology of Compiègne, BP 20 529, 60205 Compiègne, France;3. University of Sciences and Technologies of Lille, 59650 Villeneuve d’Ascq, France;1. Department of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USA;2. Innovative Scientific Solutions, Inc., 7610 McEwen Road, Dayton, OH 45459, USA;3. Department of Electronic Engineering, Shantou University, Shantou 515063, China;1. School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, PR China;2. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, PR China;1. Mechanical Engineering Department, The University of Alabama, Tuscaloosa, AL 35487, USA;2. Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, USA
Abstract:This work considers a new approach for solving the inverse heat conduction problem of estimating unknown plan heat source. It is shown that the physical heat transfer problem can be formulated as an optimization problem with differential equation constraints. A modified genetic algorithm is developed for solving the resulting optimization problem. The proposed algorithm provides a global optimum instead of a local optimum of the inverse heat transfer problem with highly-improved convergence performance. Some numerical results are presented to demonstrate the accuracy and efficiency of the proposed method.
Keywords:
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