Magnetohydrodynamic flow and heat transfer of ferrofluid in a channel with non-symmetric cavities
Shafqat Hussaina b✉, Hakan Fehmi Oztopc d, Muhammad Amer Qureshie, Nidal H. Abu‐Hamdehd
- aDepartment of Mathematics, Capital University of Science & Technology, Islamabad, Pakistan
- bInstitut für Angewandte Mathematik (LS III), Technische Universität, Dortmund, Germany
- cDepartment of Mechanical Engineering, Firat University, 23119, Elazig, Turkey
- dDepartment of Mechanical Engineering, KAU, Jeddah, Saudi Arabia
- ePYP-Math, College of General Studies, KFUPM, Dhahran, Saudi Arabia
- ✉Corresponding author
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Abstract
This paper explores the heat transfer characteristics and fluid flow of ferrofluid in a channel having non-symmetric cavities under the applied magnetic field. Bottom surface of the cavity is uniformly heated, whereas ceiling of the top cavity is cooled isothermally. The dimensionless governing equations for various physical parameters are computed via a higher-order and stable Galerkin-based finite element technique. Effective governing parameters are nanoparticle volume fraction; $$(0 \le \phi \le 0.15$$ ( 0 ≤ ϕ ≤ 0.15 ), aspect ratio of the cavities; ( $$0.2\le h/H \le 1.0$$ 0.2 ≤ h / H ≤ 1.0 ), Richardson number; ( $$0.01\le \mathrm{Ri} \le 10$$ 0.01 ≤ Ri ≤ 10 ), Hartmann number; ( $$0 \le \mathrm{Ha} \le 100$$ 0 ≤ Ha ≤ 100 ); and Reynolds number; ( $$1\le \mathrm{Re} \le 200$$ 1 ≤ Re ≤ 200 ). It is found that the most important parameter is the geometry such that there is an optimal value to maximize the heat transfer. Moreover, it is also noticed that the heat transfer is reduced with strong magnetic field, namely Hartmann number.