摘要

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We study this phenomenon through statistical characteristics of a separation vector between two particles. As usual in a random flow, moments of distance between particles grow exponentially. We calculate the rates of this growth using saddle-point approximation in path-integral formalism. We also calculate the correction to the Lyapunov exponent due to small inertia by perturbation theory expansion.

  • 出版日期2012-1-17

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