Abstract
The dispersion of tracer particles in zero-mean shear flows with no-slip boundaries is found to be diffusive when the particle trajectories are chaotic and ergodically explore the flow domain. This diffusive spreading occurs even when the molecular diffusivity vanishes. The long-time behavior for zero-mean shear flows thus differs quantitatively from non-zero mean shear flows. A model problem is formulated and the moment equations solved using techniques from the theory of random walks. Dispersion of ‘‘perfect’’ tracers in oscillatory Rayleigh–Bénard convection is also found to behave diffusively.
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