Optimum design of a longitudinal fin array with convection and radiation heat transfer using a genetic algorithm |
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| Authors: | H Azarkish SMH Sarvari A Behzadmehr |
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| Affiliation: | 1. Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt, Schlossgartenstraße 8, 64289 Darmstadt, Germany;2. GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany;1. Peter the Great St.Petersburg Polytechnic University, Polytechnicheskaya 29, St.Petersburg, 195251, Russia;2. OSRAM Opto Semiconductors, Regensburg, Germany;3. Institute for Physics of Microstructures RAS, GSP-105, Nizhny Novgorod, 603950, Russia;1. School of Engineering, Newcastle University, Newcastle-Upon-Tyne NE1 7RU, UK;2. Department of Mechanical Engineering, Bursa Technical University, Bursa 16310, Turkey;1. Institute of Automatics, National University of San Juan, Av. San Martín 1112 Oeste J5400ARY San Juan, Argentina;2. Department of Systems Engineering and Automatic Control, University of Valladolid, Faculty of Sciences, c/Real de Burgos s/n, 47011 Valladolid, Spain;3. Repsol Petróleo S. A., Refinería de Puertollano, Apartado de Correos 12, 13500 Puertollano, Spain |
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| Abstract: | In the present work, the optimization of a longitudinal fin array is investigated. Heat is transferred by conduction along the fins and dissipated from the fin surface via natural convection to the ambient and radiation to other fin surfaces and surrounding. The aim of the optimization is to find the optimum geometry and the number of fins in such a way that the rate of heat transfer from the array is maximized. A modified genetic algorithm is used to maximize the objective function which is defined as the net heat rate from the fin surface for a given length. The fin profile is represented by B-spline curves, where the shape of fin is determined by the positions of a set of control points. The effects of the base temperature, the fin length and the height of array on the optimum geometry and on the number of fins are investigated by comparing the results obtained for several test cases. In addition, the contributions of convective heat transfer and radiative heat transfer in net heat transfer are studied for these cases. The enhancement of heat transfer due to the optimum fin geometry is examined by comparing the results obtained for the optimum fin profile with those with conventional profiles. |
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