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.

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