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Dissipative descent: rocking and rolling down an incline
2007
Journal of Fluid Mechanics
We consider the dynamics of a hollow cylindrical shell that is filled with viscous fluid and another, nested solid cylinder, and allowed to roll down an inclined plane. A mathematical model is compared to simple experiments. Two types of behaviour are observed experimentally: on steeper slopes, the device accelerates; on shallower inclines, the cylinders rock and roll unsteadily downhill, with a speed that is constant on average. The theory also predicts runaway and unsteady rolling motions.
doi:10.1017/s0022112007008051
fatcat:opvwfumdirdslfb3bbqox6pwru