Advective collisions

Details Advective collisions Advective collisions

2007-02-13

arxiv.org/abs/nlin/0702024v1

Europhys. Lett. 80, 69001 (2007)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure

Scientific paper

10.1209/0295-5075/80/69001

Small particles advected in a fluid can collide (and therefore aggregate) due to the stretching or shearing of fluid elements. This effect is usually discussed in terms of a theory due to Saffman and Turner [J. Fluid Mech., 1, 16-30, (1956)]. We show that in complex or random flows the Saffman-Turner theory for the collision rate describes only an initial transient (which we evaluate exactly). We obtain precise expressions for the steady-state collision rate for flows with small Kubo number, including the influence of fractal clustering on the collision rate for compressible flows. For incompressible turbulent flows, where the Kubo number is of order unity, the Saffman-Turner theory is an upper bound.

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