Theory of growth by differential sedimentation, with application to snowflake formation

C. D. Westbrook, R. C. Ball, P. R. Field, and A. J. Heymsfield
Phys. Rev. E 70, 021403 – Published 25 August 2004

Abstract

A simple model of irreversible aggregation under differential sedimentation of particles in a fluid is presented. The structure of the aggregates produced by this process is found to feed back on the dynamics in such a way as to stabilize both the exponents controlling the growth rate, and the fractal dimension of the clusters produced at readily predictable values. The aggregation of ice crystals to form snowflakes is considered as a potential application of the model.

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  • Received 10 December 2003

DOI:https://doi.org/10.1103/PhysRevE.70.021403

©2004 American Physical Society

Authors & Affiliations

C. D. Westbrook and R. C. Ball

  • Department of Physics, University of Warwick, Coventry, United Kingdom

P. R. Field

  • Met Office, Exeter, United Kingdom

A. J. Heymsfield

  • National Center for Atmospheric Research, Boulder, Colorado 80307, USA

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Issue

Vol. 70, Iss. 2 — August 2004

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