期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 237, 期 5, 页码 573-583出版社
ELSEVIER
DOI: 10.1016/j.physd.2007.09.027
关键词
inertial particles; slow manifolds; singular perturbation theory; nonautonomous systems
We derive a general reduced-order equation for the asymptotic motion of finite-size particles in unsteady fluid flows. Our inertial equation is a small perturbation of passive fluid advection on a globally attracting slow manifold. Among other things, the inertial equation implies that particle clustering locations in two-dimensional steady flows can be described rigorously by the Q parameter, i.e., by one-half of the squared difference of the vorticity and the rate of strain. Use of the inertial equation also enables us to solve the numerically ill-posed problem of source inversion, i.e., locating initial positions from a current particle distribution. We illustrate these results on inertial particle motion in the Jung-Tel-Ziemniak model of vortex shedding behind a cylinder in crossflow. (c) 2007 Elsevier B. V. All rights reserved.
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