Abstract
The dispersion of passive tracers by chaotic advection is examined for the flow through a “twisted” pipe. The effect of long-time trapping by islands on particle dispersion is documented by numerical experiments. The trapping episodes lead to periods of quasi-ballistic motion, however these periods are intermittent and are interrupted by periods of chaotic motion. The effect of the longitudinal transport is to cause super-diffusive spreading of the tracer, Δ 2( t)≈ t v where v is empirically determined to be in the range 1 < v < 2. A simple model is presented thatleads to algebraic dispersion laws. This rapid dispersion is a consequence of the divergence of the second moment of the particle displacement distribution. It can also be interpretedin terms of the slow decay of the waiting-time distribution within a “cell” of the flow. The significance of the waiting-time distribution on dispersion in other spatially periodic flow geometries is discussed.
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