Wilkinson, M. and Kennard, H. R.
(2012).
*Journal of Physics A: Mathematical and Theoretical*, 45 p. 455502.

URL: | http://iopscience.iop.org/1751-8121/45/45/455502 |
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DOI (Digital Object Identifier) Link: | http://doi.org/10.1088/1751-8113/45/45/455502 |

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## Abstract

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 |
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Copyright Holders: | 2012 IOP Publishing Ltd |

ISSN: | 1751-8113 |

Extra Information: | 16 pp. |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Related URLs: | |

Item ID: | 35500 |

Depositing User: | Michael Wilkinson |

Date Deposited: | 23 Nov 2012 09:25 |

Last Modified: | 18 Jan 2016 16:04 |

URI: | http://oro.open.ac.uk/id/eprint/35500 |

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