OSCILLATORY INSTABILITY ANALYSIS OF BENARD-MARANGONI CONVECTION IN A ROTATING FLUID UNDER A UNIFORM MAGNETIC-FIELD

The effects of rotation and magnetic field on the onset of oscillatory modes of Benard-Marangoni instability in a horizontal fluid layer wit h a deformably free surface are investigated numerically. The derived eigenvalue equations are solved using the fourth order Runge-Kutta-Gil l's method coupled with the Broyden's method. The results show that th e Crispation number C, associated with the deformation of the upper su rface, is significant on the Benard-Marangoni instability. The system is Stabilizing, as the Blot number Bi, the Bond number Bo, the Taylor number T and the Chandrasekhar number Q increase. The absolute value o f critical Marangoni number \M-c\ in the (\M-c\,- R)-plane decreases l inearly with increasing Rayleigh number R. (C) 1998 Elsevier Science L td. All rights reserved.