Hall current effects on a magnetic nanofluid layer under temperature gradient

Abstract In the Bénard convection governed nanofluid confined between two horizontal infinite free-free boundaries, effect of Hall current is investigated when it subjected to constant vertical magnetic field. The Buongiorno mathematical model for hydromagnetic flow with currents has been considered. Brownian motion effects and thermophoresis nanoparticles have included in energy equation. A realistic boundary condition based on zero nanoparticle mass flux at walls incorporated analysis. impacts motion, convective heat transfer, conditions are also deliberated through behaviour related parameters. parameters representing incorporate consequences newly introduced physically currents. For comprehensive physical interpretation embedded plotted graphically. It found that responsible enhances instability system sets earlier. rigorous comparison made existing results. results shown graphically verified numerically.