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Numerical Investigation of Mixed Convection and Entropy Generation in a Wavy-Walled Cavity Filled with Nanofluid and Involving a Rotating Cylinder

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Department of Refrigeration & Air-conditioning Technical Engineering, College of Technical Engineering, The Islamic University, Najaf 54001, Iraq
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School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi Selangor 43600, Malaysia
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Department of Mechanical Engineering, Engineering College, University of Basrah, Basrah 61004, Iraq
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Department of Mechanical Engineering, Prince Sultan Endowment for Energy and the Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia
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RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah 86416, UAE
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Author to whom correspondence should be addressed.
Entropy 2018, 20(9), 664; https://doi.org/10.3390/e20090664
Received: 1 August 2018 / Revised: 28 August 2018 / Accepted: 31 August 2018 / Published: 3 September 2018
This numerical study considers the mixed convection and the inherent entropy generated in Al 2 O 3 –water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number ( 10 3 R a 10 6 ), angular rotational velocity ( 0 Ω 750 ), number of undulations ( 0 N 4 ), volume fraction of Al 2 O 3 nanoparticles ( 0 ϕ 0.04 ), and the length of the heat source ( 0.2 H 0.8 ) . The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 10 5 . The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al 2 O 3 nanoparticles and the length of the heater segment. View Full-Text
Keywords: entropy generation; mixed convection; wavy cavity; rotating solid cylinder; heat source entropy generation; mixed convection; wavy cavity; rotating solid cylinder; heat source
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Alsabery, A.I.; Ismael, M.A.; Chamkha, A.J.; Hashim, I. Numerical Investigation of Mixed Convection and Entropy Generation in a Wavy-Walled Cavity Filled with Nanofluid and Involving a Rotating Cylinder. Entropy 2018, 20, 664.

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