Eur. Phys. J. Plus (2021) 136: 996
https://doi.org/10.1140/epjp/s13360-021-01986-9

Regular Article

Numerical study of magnetic field effect on natural convection heat and mass transfers in a square enclosure containing non-Newtonian fluid and submitted to horizontal temperature and concentration gradients

¹ Faculty of Sciences and Technologies, Laboratory of Flows and Transfers Modelling, Sultan Moulay Slimane University, B.P. 523, Béni-Mellal, Morocco
² Faculty of Sciences and Technologies, Industrial Engineering Laboratory, Sultan Moulay Slimane University, B.P. 523, Béni-Mellal, Morocco

^a t.makayssi@usms.ma, tmkayssi@gmail.com

Received: 2 April 2021
Accepted: 22 September 2021
Published online: 4 October 2021

Abstract

We study numerically natural convection driven heat and mass transfers in a square enclosure filled with electrically conducting non-Newtonian binary mixture in the presence of tilted external magnetic field. Dirichlet boundary conditions for the temperature and the concentration are applied to the vertical walls of the enclosure, while the two horizontal ones are assumed impermeable and insulated. A uniform magnetic field inclined with an angle θ relative to the horizontal axis is externally applied. Relevant parameters of the present problem are the Prandtl number, Pr, thermal Rayleigh number, Ra_T, Hartmann number, Ha, Lewis number, Le, buoyancy ratio, N, and behavior index, n. The numerical simulations are based on the complete governing equations for two-dimensional flows. The combined effect of behavior index and certain governing parameters on the flow structure and the heat and mass transfers is studied.