Andersson, B.; Gustavsson, K.; Mehlig, B. and Wilkinson, M.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1209/0295-5075/80/69001|
|Google Scholar:||Look up in Google Scholar|
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 (1956) 16). 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.
|Item Type:||Journal Article|
|Copyright Holders:||2007 European Physical Society|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Michael Wilkinson|
|Date Deposited:||13 Dec 2010 23:05|
|Last Modified:||02 Aug 2016 13:53|
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