Abstract
The effects of rotation and magnetic field on the onset of oscillatory modes of Bénard-Marangoni instability in a horizontal fluid layer with a deformably free surface are investigated numerically. The derived eigenvalue equations are solved using the fourth order Runge-Kutta-Gill's method coupled with the Broyden's method. The results show that the Crispation number C, associated with the deformation of the upper surface, is significant on the Bénard-Marangoni instability. The system is stabilizing, as the Biot number Bi, the Bond number Bo, the Taylor number F and the Chandrasekhar number Q increase. The absolute value of critical Marangoni number | M c| in the | M c| R)-plane decreases linearly with increasing Rayleigh number R.
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