Eur. Phys. J. Plus (2021) 136: 377
https://doi.org/10.1140/epjp/s13360-021-01387-y

Regular Article

CNT–water nanofluid magneto-convective heat transfer in a cubical cavity equipped with perforated partition

¹ Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, 84428, Riyadh, Saudi Arabia
² College of Engineering-Mechanical Engineering Department, University of Babylon, Babylon City, Hilla, Iraq
³ Department of Mechanical Engineering, College of Engineering, University of Ha’il, 81451, Ha’il City, Saudi Arabia
⁴ Laboratory of Metrology and Energy Systems, Department of Energy Engineering, University of Monastir, 5000, Monastir, Tunisia
⁵ Department of Mechanical Engineering, College of Engineering at Wadi Addwaser, Prince Sattam Bin Abdulaziz University, Wadi Addawasir, Saudi Arabia
⁶ Department of Mechanical Engineering, Faculty of Engineering, University of Khartoum, Khartoum, Sudan

^c lioua_enim@yahoo.fr

Received: 14 February 2021
Accepted: 31 March 2021
Published online: 10 April 2021

Abstract

This paper discusses the magneto-hydrodynamic natural convection in a cubical cavity equipped with a perforated separation. Several situations related to the number of perforations, magnitude of magnetic field, nanoparticles concentration and Rayleigh number are studied. During this study, the CNT–water filled cavity is differentially heated and a uniform external magnetic field is imposed. Computations are performed for Hartmann (0 ≤ Ha ≤ 100), (10³ ≤ Ra ≤ 10⁵), (3 × 3 ≤ N ≤ 7 × 7) and (0 ≤ ϕ ≤ 0.02). The results indicate that, the heat transfer is enhanced when the CNT volume fraction and Rayleigh number increase and decrease when the magnitude of the magnetic field increases. Moreover, the average Nusselt number has its highest values of the solid volume fraction and the number of perforations (ϕ = 0.02 and N = 7 × 7). Furthermore, it was seen that the number of perforations is more effective on heat transfer for higher Rayleigh number values.