Abstract

Coriolis effects on thermocapillary instabilities in a liquid bridge of infinite length are investigated. The flow is driven by an imposed temperature gradient along the z-direction in a (r, θ, z) rotating frame of reference. When the rotation vector is parallel to the z-axis the base return flow with no rotation is not modified. In this case, rotation is stabilizing with traveling waves preferred. If the rotation is orthogonal to the z-axis, the base flow is modified and is no longer one-dimensional. Asymptotic methods valid for small rotation are used to calculate the base flow which may become multicellular, both in the radial and azimuthal directions, depending on the Prandtl, Marangoni, and Diot numbers. Linear stability analysis of the new base flow indicates that this type of rotation can be destabilizing while traveling azimuthal waves continue to be the prefered form of convection. Finally, the effect of rotation is studied in a finite length cylinder by direct numerical simulation.

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