On the terminal velocity of sedimenting particles in a flowing fluid

Details On the terminal velocity of sedimenting particles in a flowing fluid On the terminal velocity of sedimenting particles in a flowing fluid

2007-10-17

arxiv.org/abs/0710.3388v2

J. Phys. A: Math. Theor. 41 (2008) 385501

Nonlinear Sciences

Chaotic Dynamics

13 pages, 2 figures, submitted to JPA

Scientific paper

10.1088/1751-8113/41/38/385501

The influence of an underlying carrier flow on the terminal velocity of sedimenting particles is investigated both analytically and numerically. Our theoretical framework works for a general class of (laminar or turbulent) velocity fields and, by means of an ordinary perturbation expansion at small Stokes number, leads to closed partial differential equations (PDE) whose solutions contain all relevant information on the sedimentation process. The set of PDE's are solved by means of direct numerical simulations for a class of 2D cellular flows (static and time dependent) and the resulting phenomenology is analysed and discussed.

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