Effect of Magnetic Field on Rayleigh-Benard-Marangoni Convection with Free Slip Bottom | Asian Journ

Using the modified linear stability theory, the influence of a uniform vertical magnetic field operating in the opposite direction of gravity on the beginning of steady Rayleigh-Bnard-Marangoni convection in the horizontal layer of an electrically conducting liquid is explored. The upper and bottom surfaces of the liquid layer are both free, yet they are both subject to the same continuous heat ux condition. Both surface tension and buoyancy, which cause instability, are taken into account. The eigenvalue equation is obtained using the Galerkin technique, which is then calculated numerically. The critical eigenvalues in the presence of a uniform magnetic field are higher in a hotter layer of liquid than in a cooler one under equal conditions, according to the results of this study. Both the Rayleigh and Marangoni numbers have asymptotic behaviour.

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