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Correlation dimension of inertial particles in random flows

Wilkinson, M.; Mehlig, B. and Gustavsson, K. (2010). Correlation dimension of inertial particles in random flows. Europhysics Letters, 89(5) p. 50002.

DOI (Digital Object Identifier) Link: http://doi.org/10.1209/0295-5075/89/50002
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Abstract

We obtain an implicit equation for the correlation dimension D2 of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating D2 for inertial particles suspended in a random flow. In the limit where the correlation time of the flow field approaches zero, taking the short-time limit of the propagator enables D2 to be determined from the solution of a partial differential equation. We develop the solution as a power series in a dimensionless parameter which represents the strength of inertial effects.

Item Type: Journal Article
ISSN: 0295-5075
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 22803
Depositing User: Michael Wilkinson
Date Deposited: 18 Aug 2010 14:10
Last Modified: 02 Aug 2016 13:45
URI: http://oro.open.ac.uk/id/eprint/22803
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