Recursive formulation on thermal analysis of an annular fin with variable thermal properties |
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| Authors: | Chi-Yuan Lai Hong-Sen Kou Ji-Jen Lee |
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| Affiliation: | 1. Mechanical Engineering Department, Esfarayen Faculty of Industrial and Engineering, Esfarayen, North Khorasan, Iran;2. Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;1. Institute of Soil and Water Conservation, Northwest A&F University, Yangling 712100, China;2. College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, China;3. Research School of Engineering, The Australian National University, Canberra, ACT 2601, Australia;1. Department of Mathematics, Faculty of Science, Sohag University, Egypt;2. Department of Mathematics, Faculty of Science, SVU, Qena 83523, Egypt;3. Department of Mathematics, Faculty of Science, Taif University, 888, Saudi Arabia;1. CRCED Vaal, North West University, P Bag x6001, Potchefstroom, 2520, South Africa;2. Department of Chemical Engineering, North West University, Potchefstroom, South Africa;1. Esfarayen University, Engineering and Technical College, Mechanical Engineering Department, Esfarayen, North Khorasan, Iran;2. Babol University of Technology, Mechanical Engineering Faculty, Energy Conversion Department, Babol, Mazandara, Iran |
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| Abstract: | This study introduces a discrete model which is pertinent for calculating thermal performance of singular annular fin with variable thermal properties. The singular annular fin can be divided into several circular sections, and each section can take its variable thermal properties, such as heat transfer coefficient and thermal conductivity, into account. The result from each section can be combined and calculated together by a recursive formula. Then, the solutions of temperature distribution and heat transfer rate on singular annular fin can be quickly obtained. For this model, the recursive formulae for both conditions with and without heat transfer on fin tip are demonstrated. Finally, some examples including composite materials for an annular fin have been successfully simulated through the present approach. |
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