Abstract

In this paper, we investigate numerically the problem of the motion of a self-propelled torus in a viscous incompressible fluid. The surface of the torus rotates with constant velocity around its centerline. The flow patterns are analyzed for the range of moderate Reynolds numbers 20≤Re≤40 (Reynolds number defined by the velocity of uniform stream and smaller diameter of the torus), the range of the aspect ratios 1.5≤Ar≤20 (aspect ratio is defined as the ratio of torus diameter to cross-section diameter of the torus), and the range of rotational rate α, 0≤α≤2.5 (α is defined as the ratio of tangential tank-treading motion of the torus surface to the uniform far-field velocity).

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