Natural convection flow under magnetic field in a square cavity for uniformly (or) linearly heated adjacent walls

Abstract

Purpose -The purpose of this paper is to study the effect of magnetic field on natural convection in an enclosure with uniformly or linearly heated adjacent walls and especially its effect on the local and average Nusselt numbers. Design/methodology/approach -The problem is formulated and solved using the finite element method. Accuracy of the method is validated by comparisons with previously published work. Findings -It was found that the presence of a magnetic filed causes significant effects on the local and average Nusselt numbers on all considered walls. Originality/value -Although the problem is not very original it is important in that many applications have heating on adjacent walls.

Magnetoconvection and Irreversibility Phenomena Within a Lid Driven Cavity Filled With Liquid Metal Under Magnetic Field

“…Before proceeding with numerical simulations in the case of the cavity filled with a liquid metal and subjected to the magnetic field, a first validation of the in-house code "NASIM" was conducted for the case of magnetoconvection. To do so, the numerical results of the average Nusselt values of this study are compared with those obtained by Sathiyamoorthy and Chamkha (2012), of Rudraiah et al (1995) and also to the computations of Sheikholeslami et al (2013) Table 2 a good agreement between the results of this calculation code and those from literature is observed with a maximum relative error of about 2%.…”

Three-dimensional Rayleigh–Bénard magnetoconvection: Effect of the direction of the magnetic field on heat transfer and flow patterns

“…Comparison of the predicted Nusselt number Nu on the left or right walls of the cavity taken from Rudraiah et al[6] and from Sathiyamoorthy and Chamkha et al (HFF)[31] for the 2D case versus the present work.…”

“…Furthermore, due to the luck of 3D-magnetoconvection benchmarks in the open literature, a second test has been also performed with an imposed magnetic field, and our results were compared to those of Rudraiah et al [6] and to those of Sathiyamoorthy and Chamkha [31] in the 2D case. Computations have been carried out for various values of Ha (0-100 for a horizontally applied magnetic field, α = 0 • ) and for two values of the Grashof number Gr = 2 × 10 4 and 2 × 10 5 and Pr = 0.054 (liquid metals), as seen in Table 2.…”

Magnetoconvection and entropy generation of nanofluid in an enclosure with an isothermal block: Performance evaluation criteria analysis

“…It is shown that for a fixed value of the inclination angle, the heat transfer rate reduces by growing up the magnetic field intensity. Sathiyamoorthy and Chamkha (2012) have studied natural convection in a square cavity under a magnetic field for different inclination angle and diverse thermal boundary conditions. The authors demonstrate, in particular, that increasing Ha leads to a decrease in the average Nusselt number.…”