Volume 102, Number 1, April 2013
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||23 April 2013|
Stokes drift for inertial particles transported by water waves
1 Dipartimento di Fisica and INFN, Università di Torino - via Pietro Giuria 1, 10125 Torino, Italy, EU
2 Institut de Mathématiques et de Modélisation de Montpellier, CNRS UMR 5149, Université Montpellier 2 c.c.051, 34095 Montpellier cedex 5, France, EU
3 DICCA, Università di Genova - via Montallegro 1, 16145 Genova, Italy, EU
4 INFN and CINFAI, Sezione di Genova - via Dodecaneso 33, 16146 Genova, Italy, EU
Received: 23 January 2013
Accepted: 25 March 2013
We study the effect of surface gravity waves on the motion of inertial particles in an incompressible fluid. We perform analytical calculations based on perturbation expansions which allow us to predict the dynamics of inertial particles in the deep-water regime. We find that the presence of inertia leads to a non-negligible correction to the well-known horizontal Stokes drift velocity. Moreover, we find that the vertical sedimentation velocity is also affected by a drift induced by waves. The latter result may have some relevant consequences on the rate of sedimentation of particles of finite size. We underline that the vertical drift would also be observed in the (hypothetical) absence of the gravitational force. Kinematic numerical simulations are performed and the results are found to be in excellent agreement with the analytical predictions, even for values of the parameters beyond the perturbative limit.
PACS: 47.35.-i – Hydrodynamic waves / 47.51.+a – Mixing
© EPLA, 2013
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