On the hydromagnetic stability of a horizontal nanofluid layer with Hall currents

The paper investigates the hydromagnetic stability of a horizontal nanofluid layer heated from below in the presence of Hall currents. In addition to the Brownian motion and thermophoretic forces, Lorentz force is introduced due to high magnetic field. Boussinesq’sapproximation is used to linearize the hydromagnetic equations and perturbation equations are analysed using method of normal modes and one term Galerkin approximation. The critical Rayleigh number and critical wave number for alumina-water nanofluid and copper-water nanofluid for different values of Chandrasekhar number and Hall parameter are found. Copper-water nanofluid is found to be far less stable than alumina-water nanofluid. The mode of heat transfer is through stationary convection for the present configuration. Effect of Hall currents is to quicken the onset of convection whereas that of magnetic field is to postpone it.