Magneto‐Oberbeck Convection in a Rectangular Enclosure With Uniform Heat and Mass Fluxes Along the Vertical Sides

Heat and mass transport in electrically conducting fluids under magnetic fields can be better understood by examining Magneto‐Oberbeck convection in a rectangular enclosure with homogeneous mass and heat fluxes along the vertical sides. It may be used in technical domains, like, geophysics, metallurgy, and electronic device cooling. Transport phenomena, flow patterns, and stability are all impacted by the interaction between buoyancy‐driven stream and magnetic forces. The study's conclusions aid in the optimization of thermal management and magnetohydrodynamics‐related industrial operations. The natural convection that results from the combined effects of concentration and temperature buoyancy within a rectangular cavity with uniform mass and heat flow along the vertical sides with a magnetic field is investigated analytically in this paper. Magnetic fields are used in many sectors, such as everyday technology, engineering, and medicine. Convection affects the mass and heat transport rates in the boundary layer domain, where the analytical approach is accurate. An Oseen‐linearized solution is reported foe tall spaces filled with mixtures characterized by , and arbitrary buoyancy ratios. The impact of changing the Lewis number is shown by a similarity solution that works for in flows driven by heat transfer and for in flows driven by mass transport. Graphical analyses of the solutions are performed for varying Rayleigh numbers, buoyancy ratios, and Chandrasekhar numbers.