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research-article

Magnetohydrodynamics Natural Convection in a Triangular Cavity filled with a Cu-Al2O3/Water Hybrid Nanofluid with Localized Heating from Below and Internal Heat Generation

[+] Author and Article Information
A.M. Rashad

Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt
am_rashad@yahoo.com

Dr. Ali J. Chamkha

Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates
achamkha@pmu.edu.sa

Muneer Ismael

Mechanical Engineering Department, Engineering College, University of Basrah, Basrah, Iraq
muneerismael@yahoo.com

Taha Salah

Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science & Technology and Maritime Transport (AASTMT), Aswan branch, Egypt
taha_salah1984@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4039213 History: Received October 31, 2016; Revised January 06, 2018

Abstract

This study investigates the convective heat transfer of a hybrid nanofluid filled in a triangular cavity subjected to a constant magnetic field and heated by a constant heat flux element from below. The inclined side of the cavity is cooled isothermally while the remaining sides are thermally-insulated. The finite difference method with the stream function-vorticity formulation of the governing equations has been utilized in the numerical solution. The problem is governed by several pertinent parameters namely, the size and position of the heater element, B = 0.2 — 0.8 and D = 0.3 — 0.7, respectively, the Rayleigh number, Ra = 102 — 106, the Hartmann number, Ha = 0 — 100, the volume fraction of the suspended nanoparticles, ? = 0 — 0.2, and the heat generation parameter Q = 0 — 6. The results show that the effect of increasing the volume fraction of the hybrid nanofluid becomes significant in the situations where the natural convection is very small. Moreover, the hybrid nanofluid composed of equal quantities of Cu and Al2O3 nanoparticles dispersed in water base fluid has no significant enhancement on the mean Nusselt number compared with the regular nanofluid.

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