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A model for alignment between microscopic rods and vorticity

Wilkinson, M. and Kennard, H. R. (2012). A model for alignment between microscopic rods and vorticity. Journal of Physics A: Mathematical and Theoretical, 45 p. 455502.

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Numerical simulations show that microscopic rod-like bodies suspended in a turbulent flow tend to align with the vorticity vector, rather than with the dominant eignevector of the strain-rate tensor. This paper investigates an analytically solvable limit of a model for alignment in a random velocity field with isotropic statistics. The vorticity varies very slowly and the isotropic random flow is equivalent to a pure strain with statistics which are axisymmetric about the direction of the vorticity. We analyse the alignment in a weakly fluctuating uniaxial strain field, as a function of the product of the strain relaxation time Τs and the angular velocity ω about the vorticity axis. We find that when ωΤs ≫ 1, the rods are predominantly either perpendicular or parallel to the vorticity.

Item Type: Journal Article
Copyright Holders: 2012 IOP Publishing Ltd
ISSN: 1751-8113
Extra Information: 16 pp.
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
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Item ID: 35500
Depositing User: Michael Wilkinson
Date Deposited: 23 Nov 2012 09:25
Last Modified: 04 Oct 2016 11:23
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