Abstract
Motion of rigid particles under the effects of pressure force, added mass effect, and Stokes drag is investigated in the incompressible, time-dependent flow in a two-dimensional rectangular cavity. It is shown that rigid particles in a viscous flow constitute a dissipative system with a negative volume contraction exponent and become trapped by strange attractors. Two methods are used to compute Lyapunov exponents of particle motion, and several methods are used for fractal dimensions of the attractors. Results obtained from these methods are in good agreement with each other.
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