Vertical dispersion of model microorganisms in horizontal shear flow

Journal of Fluid Mechanics

Volumn 705, Issue , 2012, Pages 98-119

  Ishikawa, Takuji ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

micro organism dynamics; suspensions; swimming flying

Indexed keywords

BIOCHEMISTRY; CELLS; CONTINUUM MECHANICS; CYTOLOGY; DIFFUSION; FLOW FIELDS; MICROORGANISMS; SUSPENSIONS (FLUIDS); VOLUME FRACTION;

HOMOGENEOUS SUSPENSIONS; HORIZONTAL DIFFUSIONS; HYDRODYNAMIC INTERACTION; STOKESIAN DYNAMICS; SWIMMING VELOCITIES; SWIMMING/FLYING; THREE DIMENSIONAL MOVEMENT; VERTICAL DISPERSION;

SHEAR FLOW;

FLOW MODELING; HYDRODYNAMICS; MICROORGANISM; SHEAR FLOW; SWIMMING;

EID: 84871527522     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.116     Document Type: Article

References (25)

1. BANCHIO, A. J. & BRADY, J. F. 2003 Accelerated Stokesian dynamics: Brownian motion. J. Chem. Phys. 118, 10323.
2. BEARON, R. N., HAZEL, A. L. & THORN, G. J. 2011 The spatial distribution of gyrotactic swimming micro-organisms in laminar flow fields. J. Fluid Mech. 680, 602-635.
3. BEENAKKER, C. W. J. 1986 Ewald sum of the Rotne-Prager tensor. J. Chem. Phys. 85, 1581-1582.
4. BERG, H. C. 1983 Random Walks in Biology. Princeton University Press.
5. BRADY, J. F. & MORRIS, J. F. 1997 Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J. Fluid Mech. 348, 103-139.
6. CHILDRESS, S., LEVANDOWSKY, M. & SPIEGEL, E. A. 1975 Pattern formation in a suspension of swimming micro-organisms: equations and stability theory. J. Fluid Mech. 63, 591-613.
7. DRAZER, G., KOPLIK, J., KHUSID, B. & ACRIVOS, A. 2002 Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspension. J. Fluid Mech. 460, 307-335.
8. DURHAM, W. M., KESSLER, J. O. & STOCKER, R. 2009 Disruption of vertical motility by shear triggers formation of thin phytoplankton layers. Science 323, 1067-1070.
9. DURHAM, W. M., CLIMENT, E. & STOCKER, R. 2011 Gyrotaxis in a steady vortical flow. Phys. Rev. Lett. 106, 238102.
10. F°AHRÆUS, R. 1929 The suspension stability of the blood. Physiol. Rev. 9, 241-274.
11. FOSS, D. & BRADY, J. F. 1999 Self-diffusion in sheared suspensions by dynamic simulation. J. Fluid Mech. 401, 243-274.
12. FOSS, D. & BRADY, J. F. 2000 Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation. J. Fluid Mech. 407, 167-200.
13. HILL, N. A. & ḦA DER, D.-P. 1997 A biased random walk model for the trajectories of swimming micro-organisms. J. Theor. Biol. 186, 503-526.
14. ISHIKAWA, T., SIMMONDS, M. P. & PEDLEY, T. J. 2006 Hydrodynamic interaction of two swimming model micro-organisms. J. Fluid Mech. 568, 119-160.
15. ISHIKAWA, T. & PEDLEY, T. J. 2007 Diffusion of swimming model micro-organisms in a semi-dilute suspension. J. Fluid Mech. 588, 437-462.
16. ISHIKAWA, T., LOCSEI, J. T. & PEDLEY, T. J. 2008 Development of coherent structures in concentrated suspensions of swimming model micro-organisms. J. Fluid Mech. 615, 401-431.
17. ISHIKAWA, T. & YAMAGUCHI, T. 2008 Shear-induced fluid-tracer diffusion in a semi-dilute suspension of spheres. Phys. Rev. E 77, 041402.
18. KESSLER, J. O. 1986 The external dynamics of swimming micro-organisms. In Progress in Phycological Research (ed. F. E. Round & D. J. Chapman), vol. 4, pp. 257-307. Biopress.
19. LEONARD, B. P. 1979 A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Meth. Appl. Mech. Engng 19, 59-98.
20. MARCHIORO, M. & ACRIVOS, A. 2001 Shear-induced particle diffusivities from numerical simulations. J. Fluid Mech. 443, 101-128.
21. MORRIS, J. F. & BRADY, J. F. 1996 Self-diffusion in sheared suspensions. J. Fluid Mech. 312, 223-252.
22. SIEROU, A. & BRADY, J. F. 2004 Shear-induced self-diffusion in non-colloidal suspensions. J. Fluid Mech. 506, 285-314.
23. VLADIMIROV, V. A. et al. 2000 Algal motility measured by a laser-based tracking method. Mar. Freshwat. Res. 51, 589-600.
24. VLADIMIROV, V. A. et al. 2004 Measurement of cell velocity distributions in populations of motile algae. J. Expl Biol. 207, 1203-1216.
25. WANG, Y., MURAI, R. & ACRIVOS, A. 1998 Transverse Shear-induced gradient diffusion in a dilute suspension of spheres. J. Fluid Mech. 357, 279-287.