Abstract
We describe a number of different phenomena seen in the free-surface flow inside a partially filled circular cylinder which is rotated about its horizontal axis of symmetry. At low angular velocities the flow settles into a steady two-dimensional flow with a front where the coating film coalesces with the pool at the bottom of the cylinder. This mode becomes unstable at higher angular velocities, initially to a sloshing mode on the rising side of the coating film and then to an axial instability on the front. The undulations that appear on the front grow into large-amplitude stationary patterns with cusp-like features for some parameter values. At still higher angular velocities and volume fractions, a number of different inertial instabilities and patterns appear. We present a phase diagram of the various transitions and characterize some of the more prominent instabilities and patterns in detail, along with some possible mechanisms for the observed behaviour.
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Received: 13 April 1996 / Accepted: 13 June 1996
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Thoroddsen, S., Mahadevan, L. Experimental study of coating flows in a partially-filled horizontally Rotating cylinder. Experiments in Fluids 23, 1–13 (1997). https://doi.org/10.1007/s003480050080
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DOI: https://doi.org/10.1007/s003480050080