Abstract
The motion of a rigid dumbbell settling under gravity in a stationary two-dimensional cellular flow field is investigated. The dumbbell is modeled as two identical beads connected by a rigid rod. Assuming that the bead radius is much shorter than the bead to bead distance, a simple model is obtained to describe the dynamical behavior of the dumbbell in terms of evolution of the dumbbell orientation and the velocity of the center of mass. The average velocity of the dumbbell in the gravity direction was found to depend on the dumbbell length, the inertia parameter and the terminal settling velocity in still fluid. For certain conditions the dumbbell remains suspended in the flow field. In one of the suspension regimes the dumbbell remains indefinitely attached to a fixed point. This behavior is related to the existence to saddle nodes in the cellular flow field.
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More From: Journal of Physics A: Mathematical and Theoretical
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