Dynamics of inertial particles in a random flow with strong permanent shear.
نویسنده
چکیده
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.
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 85 1 Pt 2 شماره
صفحات -
تاریخ انتشار 2012