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A note on the motion of an Ocean Bacterium in a Linear Shear Flow

Part of: Stochastic processes Diffusion and convection

Published online by Cambridge University Press:  21 December 2009

Kalvis M. Jansons
Kalvis M. Jansons
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT, U.K. E-mail: swimming@kalvis.com
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Abstract

This paper treats a simple model, which can be exactly solved, motivated by the back-and-forth motion of ocean bacteria. In particular, the probability is determined that a bacterium moving randomly along a fluid line through the origin in a linear shear flow hits the origin before time t.

MSC classification

Secondary: 76R50: Diffusion 60G17: Sample path properties
Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007 , pp. 157 - 160
Copyright
Copyright © University College London 2007

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References

1Bretherton, F. P., The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14 (1962), 284–304.CrossRefGoogle Scholar
2Jeffery, G. B., The motion of ellipsoidal particles immersed in a viscous fluid. Proc Roy. Soc. A (1922) 102, 161–179.Google Scholar
3Luchsinger, R. H., Bergersen, B. and Mitchell, J. G., Bacterial swimming strategies and turbulence. Biophys. J. 77 (1999), 2377–2386.Google Scholar
4Mitchell, J. G., The energetics and scaling of search strategies in bacteria. The American Naturalist 160 (2002), 721–740.Google Scholar
5Schroeder, C. M., Teixeira, R. E., Shaqfeh, S. G. and Chu, S., Characteristic periodic motion of polymers in shear flows. Phys. Rev. Lett. 95 (2005), 1–4.Google Scholar