Volume 71, Number 2, July 2005
|Page(s)||186 - 192|
|Published online||10 June 2005|
Caustics in turbulent aerosols
Faculty of Mathematics and Computing, The Open University Walton Hall, Milton Keynes, MK7 6AA, UK
2 Department of Physics, Göteborg University - 41296 Gothenburg, Sweden
Accepted: 12 May 2005
Networks of caustics can occur in the distribution of particles suspended in a randomly moving gas. These can facilitate coagulation of particles by bringing them into close proximity, even in cases where the trajectories do not coalesce. The evolution of these caustic patterns depends upon the Lyapunov exponents , of the suspended particles, as well as the rate J at which particles encounter caustics. We develop a theory determining the quantities J, , from the statistical properties of the gas flow, in the limit of short correlation times.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.27.Qb – Turbulent diffusion / 47.54.+r – Fluid dynamics: Pattern selection; pattern formation
© EDP Sciences, 2005
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