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Aggregation of iner...
Aggregation of inertial particles in random flows.
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- Mehlig, Bernhard, 1964 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU)
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Wilkinson, M. (author)
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Duncan, Kevin (author)
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Weber, Tom (author)
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Ljunggren, Mats (author)
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(creator_code:org_t)
- 2005
- 2005
- English.
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In: Physical review. E, Statistical, nonlinear, and soft matter physics. - 1539-3755. ; 72:5 Pt 1
- Related links:
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https://gup.ub.gu.se...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We consider the trajectories of particles suspended in a randomly moving fluid. If the Lyapunov exponent of these trajectories is negative, the paths of these particles coalesce, so that particles aggregate. Here we give a detailed account of a method [B. Mehlig and M. Wilkinson, Phys. Rev. Lett. 92, 250602 (2004)] for calculating this exponent: it is expressed as the expectation value of a random variable evolving under a stochastic differential equation. We analyze this equation in detail in the limit where the correlation time of the velocity field of the fluid is very short, such that the stochastic differential equation is a Langevin equation. We derive an asymptotic perturbation expansion of the Lyapunov exponent for particles suspended in three-dimensional flows in terms of a dimensionless measure of the inertia of the particles, epsilon, and a measure of the relative intensities of potential and solenoidal components of the velocity field, Gamma. We determine the phase diagram in the epsilon-Gamma plane.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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