Summary.
Linear stability theory is applied to the problem of the onset of oscillatory Marangoni convection in a horizontal layer of electrically conducting fluid heated from below in the presence of a vertical magnetic field. The fluid layer is bounded from below by a rigid boundary and from above by a deformable free surface. The critical Marangoni number M c, the critical wavenumber a c and the critical frequency ωc are obtained for wide ranges of the Prandtl number #E5/E5#1, the magnetic Prandtl number #E5/E5#2, the crispation number C r and the Chandrasekhar number Q. We present numerically a necessary and sufficient condition for oscillatory Marangoni convection to occur.
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Acknowledgments.
The first-named author gratefully thanks the Universiti Kebangsaan Malaysia for financial support through IRPA Grant 09-02-02-0154 during the course of this work. The second-named author wishes to thank Universiti Putra Malaysia for a Studentship grant to enable this research to be undertaken. Both authors would like to acknowledge the referee's comments which led to an improvement in the paper.
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Hashim, I., Arifin, N. Oscillatory Marangoni convection in a conducting fluid layer with a deformable free surface in the presence of a vertical magnetic field. Acta Mechanica 164, 199–215 (2003). https://doi.org/10.1007/s00707-003-0008-7
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DOI: https://doi.org/10.1007/s00707-003-0008-7