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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.s
approximation 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. Copperwater
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.
Keywords: nanofluid layer; Hall currents; hydromagnetic stability. |
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