Effect of magnetic field on the Rayleigh-Bénard convection in a nanofluid layer: rigidrigid boundaries

In the present paper we have studied Rayleigh-Bénard convection in a nanofluid layer with vertical magnetic field heated from below and cooled from above. The model used for nanofluid includes the effects of Brownian motion and thermophoresis. The boundaries are considered to be rigid-rigid. The linear stability theory is employed and the resulting eigenvalue problem is solved numerically using the Galerkin technique with the Rayleigh number as the eigenvalue. The influence of various nanofluids parameters and magnetic field on the onset of convection has been analyzed. It has been shown that the magnetic field has a stabilizing effect depending upon the values of various nanofluid parameters.