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Entropy 2018, 20(9), 664; https://doi.org/10.3390/e20090664

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

1
Department of Refrigeration & Air-conditioning Technical Engineering, College of Technical Engineering, The Islamic University, Najaf 54001, Iraq
2
School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi Selangor 43600, Malaysia
3
Department of Mechanical Engineering, Engineering College, University of Basrah, Basrah 61004, Iraq
4
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and the Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia
5
RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah 86416, UAE
*
Author to whom correspondence should be addressed.
Received: 1 August 2018 / Revised: 28 August 2018 / Accepted: 31 August 2018 / Published: 3 September 2018
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Abstract

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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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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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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