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Effects of diameter ratio of adiabatic circular cylinder and tilt angle on natural convection from a square open tilted cavity
Authors:Sumon Saha  Ahmed Kadhim Hussein  Waqar Ahmed Khan  H.A. Mohammed  Watit Pakdee  Arman Hasanpour
Affiliation:1. Department of Mechanical Engineering, University of Melbourne, VIC 3010, Australia;2. Department of Mechanical Engineering, College of Engineering, Babylon University, Babylon City, Iraq;3. National University of Sciences and Technology, Department of Engineering Sciences‐PN, Engineering College PNS Jauhar, Karachi, Pakistan;4. Department of Thermofluids, Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor Bahru, Malaysia;5. Department of Mechanical Engineering, Faculty of Engineering, Thammasat University, Rangsit Campus, Klong Luang, Pathumthani, Thailand;6. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran
Abstract:A numerical analysis is carried out to study the performance of natural convection inside a square open tilted cavity filled with air. An adiabatic circular solid cylinder is placed at the center of the cavity and the sidewall in front of the breathing space is heated by a constant heat flux. The top and bottom walls are kept at the ambient constant temperature. Two‐dimensional forms of Navier–Stokes equations along with the energy equations are solved using the Galerkin finite element method. Results are obtained for a range of Grashof numbers from 103 to 106 at Pr = 0.71 while the tilt angle varies from 0 to 45° and the diameter ratio of the cylinder is considered to be 0.2, 0.3, and 0.4 with constant physical properties. The parametric studies for a wide range of cylinder diameter ratios and cavity tilt angles show significant features of the present problem in terms of stream functions and temperature profiles. The computational results indicate that the heat transfer coefficient is strongly influenced by the above governing parameters. It is also found that the average Nusselt number decreases when the diameter ratio increases. © 2012 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library ( wileyonlinelibrary.com/journal/htj ). DOI 10.1002/htj.21001
Keywords:open square cavity  natural convection  finite element method  adiabatic cylinder
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