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- W2015527622 abstract "This paper presents a linear-stability analysis for the transition from a steady, two-dimensional thermocapillary convection in a liquid-metal layer to a periodic, three-dimensional flow involving hydrothermal waves which propagate in the directionzw normal to the plane of the base flow. There is a uniform magnetic field applied parallel to the free surface in the plane of the base flow, and there is a linear temperature gradient along the free surface in the base flow. The ratio of the layer's length to its depth, 2 L , is large. The magnetic Reynolds number is small. A key parameter is λ, the ratio of the large Hartmann number based on depth to L . The value of λ increases as either the magnetic field strength is increased or L is decreased. The results for very small values of λ agree with the results of a previous treatment of this instability without a magnetic field. As λ is increased, the critical Marangoni number and the wavenumber for the hydrothermal rolls both increase. For large values of λ, the base flow and the hydrothermal waves are confined to a free-surface layer with O (λ −2 ) dimensionless thickness." @default.
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- W2015527622 date "1999-03-10" @default.
- W2015527622 modified "2023-09-24" @default.
- W2015527622 title "Instabilities of dynamic thermocapillary liquid layers with magnetic fields" @default.
- W2015527622 doi "https://doi.org/10.1017/s0022112098003735" @default.
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