Attitude dynamics of a cylinder floating in immiscible fluids |
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Authors: | Jiann Lin Chen |
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Institution: | (1) Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michigan, USA;(2) Department of Mechanical and Aerospace Engineering, University of Florida, Gainsville, FL, USA |
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Abstract: | This study elaborates the attitude dynamics of a cylinder floating in two immiscible fluids. A cubic polynomial was derived
based on the attitude angle, weight, center of gravity, and the density ratio of fluids. The numerical solution was validated
by experimental data. Under prescribed constraints for the physical model, we have found that multiple solutions exist for
cases with no radially biased center of gravity. When the center of gravity is biased, the attitude angles change abruptly
around some critical values, which is related to the density ratio. Moreover, the attitude angles are less sensitive to the
varying density ratios when the cylinder is heavier. The results also reveal that the cylinder tends to be vertical for nearly
the whole range of density ratios when the center of gravity is slightly biased radially. |
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Keywords: | Floating cylinder Attitude angle Density ratio |
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