Generalization of the JTZ model to open plane wakes

Wu, Zuo-Bing

doi:10.1063/1.3339818

Cited by 1 publication

(1 citation statement)

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“…This analytical two-dimensional flow was shown to faithfully represent the Navier-Stokes dynamics at a (radius-based) Reynolds number ≈ Re 125 and has since then been used in several studies of passive [53][54][55][56][57][58] and inertial [12,[59][60][61] chaotic advection in environmental flows. In the JTZ model two vortices are present in the wake at any time (a generalization to more than two vortices has been given recently in [62]). The flow is from left to right.…”

Section: Model Flowmentioning

confidence: 99%

Memory effects in chaotic advection of inertial particles

Daitche

Tél

2014

New J. Phys.

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A systematic investigation of the effect of the history force on particle advection is carried out for both heavy and light particles. General relations are given to identify parameter regions where the history force is expected to be comparable with the Stokes drag. As an illustrative example, a paradigmatic two-dimensional flow, the von Kármán flow is taken. For small (but not extremely small) particles all investigated dynamical properties turn out to heavily depend on the presence of memory when compared to the memoryless case: the history force generates a rather non-trivial dynamics that appears to weaken (but not to suppress) inertial effects, it enhances the overall contribution of viscosity. We explore the parameter space spanned by the particle size and the density ratio, and find a weaker tendency for accumulation in attractors and for caustics formation. The Lyapunov exponent of transients becomes larger with memory. Periodic attractors are found to have a very slow, − t 1/2 type convergence towards the asymptotic form. We find that the concept of snapshot attractors is useful to understand this slow convergence: an ensemble of particles converges exponentially fast towards a snapshot attractor, which undergoes a slow shift for long times.

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