Bioconvection in a suspension of phototactic algae

Journal of Fluid Mechanics

Volumn 327, Issue , 1996, Pages 343-371

  Vincent, R V ^a   Hill, N A ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGAE; DENSITY (SPECIFIC GRAVITY); LIGHT ABSORPTION; LIGHT SCATTERING; MATHEMATICAL MODELS;

BIOCONVECTION; LAYER DEPTH PARAMETERS; PHOTOTACTIC ALGAE; PHOTOTAXIS; RAYLEIGH NUMBER; SCHMIDT NUMBER; SUBLAYER POSITION PARAMETER;

SUSPENSIONS (FLUIDS);

ALGAE; BIOCONVECTION; FLUID MOTION; PHOTOTAXIS;

EID: 0030292068     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096008579     Document Type: Article

References (31)

1. CASH, J. R. & MOORE, D. R. 1980 A high order method for the numerical solution of two point boundary value problems. BIT 20, 44-52.
2. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
3. CHILDRESS, S., LEVANDOWSKY, M. & SPIEGEL, E. A. 1975 Pattern formation in a suspension of swimming microorganisms: equations and stability theory. J. Fluid Mech. 63, 591-613 (referred to herein as CLS).
4. CHILDRESS, S. & PEYRET, R. 1976 A numerical study of two-dimensional convection patterns. J. Méc. 15, 753-779.
5. COLOMBETTI, G. & PETRACCHI, D. 1989 Photoresponse mechanisms in flagellated algae. Crit. Rev. Plant Sci. 8, 309-355.
6. DUYSENS, L. N. M. 1956 The flattening of the absorption spectrum of suspensions, as compared to that of solutions. Biochim. Biophys. Acta 19, 1-12.
7. FOSTER, K. W. & SMYTH, R. D. 1980 Light antennas in phototactic algae. Microbiol Rev. 40, 572-630.
8. HÄDER, D.-P. 1987a Photomovement in eukaryotic microorganisms. Photochem. Photobiophys. Suppl. 203-214.
9. HÄDER, D.-P. 1987b Polarotaxis, gravitaxis, and vertical phototaxis in the green flagellate, Euglena gracilis. Arch. Mikrobiol 147, 179-183.
10. HERDAN, G. 1960 Small Particle Statistics, 2nd Edn. Butterworth & Co.
11. HILL, N. A. & HÄDER, D.-P. 1996 A biased random walk model for the trajectories of swimming micro-organisms. Submitted to J. Theor. Biol.
12. HILL, N. A., PEDLEY, T. J. & KESSLER, J. O. 1989 Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth. J. Fluid Mech. 208, 509-543 (referred to herein as HPK).
13. HILLESDON, A. J. 1994 Pattern formation in a suspension of swimming bacteria. PhD thesis, University of Leeds.
14. HILLESDON, A. J., PEDLEY, T. J. & KESSLER, J. O. 1995 The development of concentration gradients in a suspension of chemotactic bacteria. Bull. Math. Biol. 57, 299-344.
15. KAMKE, E. 1967 Differentialgleichungen Lösungsmethoden und Lösungen, Vol 1. Akademische Verlagsgesellschaft Geest & Portig K.-G.
16. KESSLER, J. O. 1985 Co-operative and concentrative phenomena of swimming microorganisms. Contemp. Phys. 26, 147-166.
17. KESSLER, J. O. 1986 The external dynamics of swimming microorganisms. In Progress in Phycological Research, vol. 4 (ed. F. E. Round & D. J. Chapman). Bristol Biopress Ltd.
18. KESSLER, J. O. 1989 Path and pattern - the mutual dynamics of swimming cells and their environment. Comments on Theor. Biol. 212, 85-108.
19. KESSLER, J. O., HILL, N. A. & HÄDER, D.-P. 1992 Orientation of swimming flagellates by simultaneously acting external factors. J. Phycology 28, 816-822.
20. LOEFFER, J. B. & MEFFERD, R. B. 1952 Concerning pattern formation by free swimming microorganisms. The American Naturalist 86, 325-329.
21. MATTHEWS, P. C. 1988 A model for the onset of penetrative convection. J. Fluid Mech. 188, 571-583.
22. PEDLEY, T. J., HILL, N. A. & KESSLER, J. O. 1988 The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms. J. Fluid Mech. 195, 223-237.
23. PEDLEY, T. J. & KESSLER, J. O. 1990 A new continuum model for suspensions of gyrotactic micro-organisms. J. Fluid Mech. 212, 155-182.
24. PEDLEY, T. J. & KESSLER, J. O. 1992 Hydrodynamic phenomena in suspensions of swimming microorganisms. Ann. Rev. Fluid Mech. 24, 315-358.
25. PLATT, J. R. 1961 Bioconvection patterns in cultures of free swimming algae. Science 133, 1766-1767.
26. ROENNBERG, T., COLFAX, G. N. & HASTINGS, J. W. 1989 A circadian rhythm of population behaviour in Gonyaulax polyedra. J. Biol. Rhythms 4, 201-216.
27. STRAUGHAN, B. 1993 Mathematical Aspects of Penetrative Convection. Longman Scientific & Technical.
28. VERONIS, G. 1963 Penetrative convection. Astrophys. J. 137, 641-663.
29. VINCENT, R. V. 1995 Mathematical modelling of phototaxis in motile microorganisms. PhD thesis, University of Leeds.
30. WAGER, H. 1911 On the effect of gravity upon the movements and aggregation of Euglena viridis. Ehrb., and other microorganisms. Phil. Trans. R. Soc. Lond. B 201, 333-390.
31. WHITEHEAD, J. A. & CHEN, M. M. 1970 Thermal instability and convection of a thin fluid layer bounded by a stably stratified region. J. Fluid Mech. 40, 549-576.