Gyrotactic bioconvection in three dimensions

Physics of Fluids

Volumn 19, Issue 5, 2007, Pages

  Ghorai, S ^a   Hill, N A ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FLUID MECHANICS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; STABILITY;

BIOCONVECTION EQUATIONS; GYROTACTIC BIOCONVECTION;

MICROORGANISMS;

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FLUID MECHANICS; INCOMPRESSIBLE FLOW; MICROORGANISMS; NAVIER STOKES EQUATIONS; STABILITY;

EID: 34249996168     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2731793     Document Type: Article

References (31)

1. T. J. Pedley and J. O. Kessler, "Hydrodynamic phenomena in suspensions of swimming microorganisms," Annu. Rev. Fluid Mech. 24, 313 (1992).
2. N. A. Hill and T. J. Pedley, "Bioconvection," Fluid Dyn. Res. 37, 1 (2005).
3. H. Wager, "The effect of gravity upon the movements and aggregation of Euglena viridis, Ehrb, and other microorganisms," Philos. Trans. R. Soc. London, Ser. B 201, 333 (1911).
4. J. B. Loeffer and R. B. Mefferd, "Concerning pattern formation by freeswimming microorganisms," Am. Nat. 86, 325 (1952).
5. J. J. Wille and C. F. Ehret, "Circadian rhythm of pattern formation in population of a free-swimming organism, Tetrahymena," J. Protozool 15, 789 (1968).
6. M. Levandowsky, W. S. Childress, E. A. Spiegel, and S. H. Hunter, "A mathematical model of pattern formation by swimming microorganisms," J. Protozool 22, 296 (1975).
7. J. O. Kessler, "Gyrotactic buoyant convection and spontaneous pattern formation in algal cell cultures," in Nonequilibrium Cooperative Phenomena in Physics and Related Fields, edited by M. G. Velarde (Plenum, New York, 1984), p. 241.
8. M. A. Bees and N. A. Hill, "Wavelengths of bioconvection patterns," J. Exp. Biol. 200, 1515 (1997).
9. A. Harashima, M. Watanabe, and I. Fujishiro, "Evolution of bioconvection patterns in a culture of motile flagellates," Phys. Fluids 31, 764 (1988).
10. S. Ghorai and N. A. Hill, "Development and stability of gyrotactic plumes in bioconvection," J. Fluid Mech. 400, 1 (1999).
11. S. Ghorai and N. A. Hill, "Periodic arrays of gyrotactic plumes in bioconvection," Phys. Fluids 12, 5 (2000).
12. S. Ghorai and N. A. Hill, "Wavelengths of gyrotactic plumes in bioconvection," Bull. Math. Biol. 62, 429 (2000).
13. S. Ghorai and N. A. Hill, "Axisymmetric bioconvection in a cylinder," Theor. Biol. 219, 137 (2002).
14. M. M. Hopkins and L. J. Fauci, "A computational model of the collective fluid dynamics of motile microorganisms," J. Fluid Mech. 455, 149 (2002).
15. T. J. Pedley, N. A. Hill, and J. O. Kessler, "The growth of bioconvection patterns in a uniform suspension of gyrotactic microorganisms," J. Fluid Mech. 195, 223 (1988).
16. T. J. Pedley and J. O. Kessler, "A new continuum model for suspensions of gyrotactic micro-organisms," J. Fluid Mech. 212, 155 (1990).
17. N. A. Hill and M. A. Bees, "Taylor dispersion of gyrotactic swimming micro-organisms in a linear shear flow," Phys. Fluids 14, 2598 (2002).
18. A. Manela and I. Frankel, "Generalized Taylor dispersion in suspensions of gyrotactic swimming micro-organisms," J. Fluid Mech. 490, 99 (2003).
19. S. Childress, M. Levandowsky, and E. A. Spiegel, "Pattern formation suspension of swimming micro-organisms," J. Fluid Mech. 69, 595 (1975).
20. N. A. Hill, T. J. Pedley, and J. O. Kessler, "Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth," J. Fluid Mech. 208, 509 (1989).
21. E. J. Hinch and L. G. Leal, "The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles," J. Fluid Mech. 52, 683 (1972).
22. T. J. Pedley and J. O. Kessler, "The orientation of spheroidal microorganisms swimming in a flow field," Proc. R. Soc. London, Ser. B 231, 683 (1987).
23. J. O. Kessler, "Co-operative and concentrative phenomena of swimming microorganisms," Contemp. Phys. 26, 147 (1985).
24. J. B. Bell, P. Colella, and H. M. Glaz, "A second-order projection method for the incompressible Navier-Stokes equations," J. Comput. Phys. 85 257 (1989).
25. D. L. Brown, R. Cortez, and M. L. Minion, "Accurate projection methods for the incompressible Navier-Stokes equations," J. Comput. Phys. 168, 464 (2001).
26. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd (Cambridge University Press, New York, 1992).
27. U. Ghia, K. N. Ghia, and C. T. Shin, "High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method," Comput. Phys. 48, 387 (1982).
28. R. Schreiber and H. B. Keller, "Driven cavity flows by efficient numerical techniques," J. Comput. Phys. 49, 310 (1983).
29. T. Fusegi, J. M. Hyun, K. Kuwahara, and B. Farouk, "A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure," Int. J. Heat Mass Transfer 34, 1543 (1991).
30. J. O. Kessler, "Individual and collective fluid dynamics of swimming cells," J. Fluid Mech. 173, 191 (1986).
31. J. O. Kessler, "Path and pattern - The mutual dynamics of swimming cells and their environment," Commun. Theor. Biol. 1, 85 (1989).