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A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations
Authors:BS Kim  DS Lee  MY Ha  HS Yoon
Affiliation:1. Department of Mechanical Engineering, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan 609-735, Republic of Korea;2. Advanced Ship Engineering Research Center, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan 609-735, Republic of Korea;1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, PR China;2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, PR China;3. College of Engineering, Shantou University, Shantou 515063, PR China;1. School of Mechanical Engineering, Department of Mechanical Engineering, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan 609-735, Republic of Korea;2. Global Core Research Center for Ships and Offshore Plants, Pusan National University, San 30, Jangjeon-dong, Geumjeong-gu, Busan 609-735, Republic of Korea;1. Department of Mechanical Engineering, Babol University of Technology, Iran;2. Department of Mathematics, Babe?-Bolyai University, R-400084 Cluj-Napoca, Romania;3. Department of Mechanical and Materials Engineering, Florida International University, Miami, FL 33199, USA;1. School of Mechanical Engineering, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan 609-735, Republic of Korea;2. Rolls-Royce and Pusan National University Technology Centre in Thermal Management, Jang Jeon 2-Dong, Geum Jeong Gu, Busan 609-735, Republic of Korea;1. Faculty of Science, Technology & Human Development, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Johor, Malaysia;2. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;3. Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;4. Department of Mathematics, Faculty of Science, Al Balqa Applied University, 19117 Salt, Jordan
Abstract:Numerical calculations are carried out for natural convection induced by a temperature difference between a cold outer square enclosure and a hot inner circular cylinder. A two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model an inner circular cylinder based on the finite volume method for different Rayleigh numbers varying over the range of 103–106. The study goes further to investigate the effect of the inner cylinder location on the heat transfer and fluid flow. The location of the inner circular cylinder is changed vertically along the center-line of square enclosure. The number, size and formation of the cell strongly depend on the Rayleigh number and the position of the inner circular cylinder. The changes in heat transfer quantities have also been presented.
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