paper

Jittery velocity relaxation of an elastic sphere immersed in a viscous incompressible fluid

arXiv:1312.3842 · doi:10.1103/PhysRevE.89.033001

Abstract

Velocity relaxation of an elastic sphere immersed in a viscous incompressible fluid is studied on the basis of the equations of linear elasticity and the linearized Navier-Stokes equations. It is found that both translational motion after a sudden impulse and rotational motion after a sudden twist show jittery behavior in the long-time regime, with many reversals of velocity if the sphere is sufficiently flexible. In the extreme long-time regime the translational and rotational velocity relaxation functions each decay with a universal algebraic long-time tail. The added mass and the added moment of inertia of the sphere are found to vanish.

15 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1311.3843

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