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A Note on Algae Population Dynamics

Brennen, C. E. and Keady, G. and Imberger, J. (2017) A Note on Algae Population Dynamics. . (Submitted)

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All three authors had the pleasure of extensive technical interactions with John Blake during his career in the UK, USA and Australia and benefited both professionally and personally from his friendship. John’s work in developing fundamental mathematical solutions for Stokes’ flows and his application of those mathematical tools to analyses of micro-organism locomotion led to special new insights into that world of small-scale swimming. This special issue devoted to John’s memory seems an appropriate occasion to present another fluid mechanical challenge associated with micro-organisms, namely the dynamics of algae blooms. Though it is a special reduced-order model that is of limited practical value, John would have particularly enjoyed the analytical solution to the dynamics of algae that was presented by Rutherford Aris (1997) in a somewhat eccentric paper. We revisit that solution in this paper and present an extension to Aris’ solution that includes sedimentation of the algae. We think that John would have enjoyed this solution and would, in all likelihood, have been able to expand upon it to include other features such as micro-organism buoyancy variations (see, for example, Kromkamp et al. 1990, Belov and Giles 1997, Brookes and Ganf 2001), the death of algae (see, for example, Serizawa et al. 2008a, Reynolds 1984), the swimming of algae (see, for example, Pedley 2016), and other relevant hydrodynamic matters.

Item Type:Report or Paper (Discussion Paper)
Additional Information:All three authors benefited greatly, both professionally and personally, from their extensive interactions with the late Professor John R. Blake. The first and second authors are also deeply grateful to the third for his hospitality, support and encouragement during their visits to the University of Western Australia.
Record Number:CaltechAUTHORS:20170630-110356943
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78727
Deposited By: Tony Diaz
Deposited On:30 Jun 2017 18:48
Last Modified:03 Oct 2019 18:11

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