Dynamics of inertial particles in a random flow with strong permanent shear

Details Dynamics of inertial particles in a random flow with strong permanent shear Dynamics of inertial particles in a random flow with strong permanent shear

2011-08-12

arxiv.org/abs/1108.2691v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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 the saddle-point approximation in the path-integral formalism. We also calculate correction to the Lyapunov exponent due to small inertia by a perturbation theory expansion.

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