Comparison study of vertical and horizontal elastic wall on vented square enclosure filled by nanofluid and hexagonal shape with MHD effect

Qusay Rasheed Al-Amir; Hameed K. Hamzah; Farooq H. Ali; Seyfettin Bayraktar; Müslüm Arıcı; Mohammad Hatami

doi:10.1140/epjs/s11734-022-00582-x

2024 Impact factor 2.3

Special Topics

Transport Phenomena of Nanofluids in Cavities: Current Trends and Applications

Eur. Phys. J. Spec. Top. (2022) 231: 2623-2643
https://doi.org/10.1140/epjs/s11734-022-00582-x

Regular Article

Comparison study of vertical and horizontal elastic wall on vented square enclosure filled by nanofluid and hexagonal shape with MHD effect

Qusay Rasheed Al-Amir¹, Hameed K. Hamzah¹, Farooq H. Ali¹, Seyfettin Bayraktar², Müslüm Arıcı³ and Mohammad Hatami⁴^f

¹ Department of Mechanical Engineering, College of Engineering College, University of Babylon, 51002, Babylon, Iraq
² Department of Marine Engineering, Faculty of Naval Architecture and Maritime, Yildiz Technical University, 34349, Istanbul, Turkey
³ Department of Mechanical Engineering, Faculty of Engineering, Kocaeli University, 41001, Kocaeli, Turkey
⁴ Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

^f m.hatami2010@gmail.com

Received: 20 October 2021
Accepted: 3 May 2022
Published online: 13 May 2022

Abstract

In the present paper, numerical investigations of the magnetohydrodynamics forced convection of CNT–water nanofluid inside a square enclosure with one inlet and one outlet were performed. The analysis was carried out for a wide range of Reynolds number ( $100 \leq R e \leq 1000$ $100\le Re \le 1000$ ), Hartmann number ( $0 \leq H a \leq 60$ $0\le Ha \le 60$ ), inclination angle of the magnetic field ( $0^{\circ} \leq γ \leq 90^{\circ}$ $0^{\circ } \le \gamma \le 90 ^{\circ }$ ), elasticity of the bottom and left walls of the enclosure ( $10^{4} \leq E \leq 10^{7}$ $10^{4}\le E\le 10^{7}$ ), location of the center of the hexagonal body in horizontal directions ( $0.3 \leq x_{0} / L \leq 0.7$ $0.3\le x_{0}/L\le 0.7$ ) and in normal directions ( $0.25 \leq y_{0} / L \leq 0.75$ $0.25\le y_{0}/L\le 0.75$ ), size of the internal hexagonal body ( $0.1 \leq a / L \leq 0.3$ $0.1 \le a/L\le 0.3$ ), and, finally, the volume fraction of the nanoparticles ( $φ = 0$ $\varphi = 0$ and 0.1). For the flexible walls of the enclosure, a series of coupled fluid–structure interaction (FSI) analyses were accomplished by utilizing the Arbitrary Lagrangian–Eulerian formulation. It has been revealed that the bottom wall of the enclosure is very sensitive to the elastic wall, while the Nusselt number on the top wall increases with Hartmann number no matter which wall is elastic. It is also the most contributor to the heat transfer at Reynolds numbers of $R e = 100$ $$Re=100$$ and 500, while the contribution of other walls changes with Reynolds number.