On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field
In this paper we use a numerical technique to analyze the onset of Marangoni convection in a horizontal layer of electrically-conducting fluid heated from below and cooled from above in the presence of a uniform vertical magnetic field. The top surface of a fluid is deformably free and the bottom...
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| Format: | Conference or Workshop Item |
| Published: |
2007
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| Subjects: |
| Summary: | In this paper we use a numerical technique to analyze the onset of Marangoni convection in a horizontal
layer of electrically-conducting fluid heated from below and cooled from above in the presence of a uniform vertical
magnetic field. The top surface of a fluid is deformably free and the bottom boundary are rigid and free-slip. The
critical values of the Marangoni numbers for the onset of Marangoni convection are calculated and the latter is
found to be critically dependent on the Hartmann , Crispation and Bond numbers. In particular we present an
example of a situation in which there is competition between modes at the onset of convection. |
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