Stability analysis of bioconvection of gyrotactic motile microorganisms in a fluid saturated porous medium

Transport in Porous Media

Volumn 53, Issue 1, 2003, Pages 95-104

  Kuznetsov, A V ^a   Avramenko, A A ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b Department of Modeling of Heat Transfer Processes in Energy and Heat Engineering Facilities   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICAL PERMEABILITY; MICROORGANISMS; SUSPENSIONS (FLUIDS);

BIOCONVECTION;

POROUS MATERIALS;

CONVECTION; MICROORGANISM; POROUS MEDIUM;

EID: 0038309480     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023582001592     Document Type: Article

References (17)

1. Bees, M. A. and Hill, N. A.: 1997, Wavelengths of bioconvection patterns, J. Exp. Biol. 200, 1515-1526.
2. Ghorai, S. and Hill, N. A.: 1999, Development and stability of gyrotactic plumes in bioconvection, J. Fluid Mech, 400, 1-31.
3. Ghorai, S. and Hill, N. A.: 2000, Periodic arrays of gyrotactic plumes in bioconvection, Phys. Fluids 12, 5-22.
4. Harashima, A., Watanabe, M. and Fujishiro, I.: 1988, Evolution of bioconvection patterns in a culture of motile flagellates, Phys. Fluids 31, 764-775.
5. Kessler, J. O.: 1985a, Hydrodynamic focusing of motile algal cells, Nature 313, 218-220.
6. Kessler, J. O.: 1985b, Cooperative and concentrative phenomena of swimming microorganisms, Contemp. Phys. 26, 147-166.
7. Kessler, J. O.: 1986, The external dynamics of swimming micro-organisms, Progress in Phycological Research, Vol. 4, Biopress, Bristol, pp. 257-307.
8. Kessler, J. O., Wiseley, D. A., Remick, K. E. and Marthaler, D. E.: 1997, Individual and collective dynamics of swimming bacteria, in: M. Schreckenberg and D. E. Wolf (eds), Proceedings of the Workshop on Traffic and Granular Flow'97, Springer, New York, pp. 37-51.
9. Kessler, J. O., Burnett, G. D. and Remick, K. E.: 2000, Mutual dynamics of swimming microorganisms and their fluid habitat, in: P. L. Christiansen, M. P. Sorensen and A. C. Scott (eds), Nonlinear Science at the Dawn of the 21st Century, Springer, New York, pp. 409-426.
10. Kuznetsov, A. V. and Avramenko, A. A.: 2002, A 2D Analysis of bioconvection in a fluid saturated porous medium - estimation of the critical permeability value, Int. Commun. Heat Mass Trans. 29, 175-184.
11. Kuznetsov, A. V. and Jiang, N.: 2001, Numerical investigation of bioconvection of gravitactic microorganisms in an isotropic porous medium, Int. Commun. Heat Mass Trans. 28, 877-886.
12. Lapwood, E. R.: 1948, Convection of a fluid in a porous medium, Proc. Cambridge Philos. Soc. 44, 508-521.
13. Nield, D. A. and Bejan, A.: 1999, Convection at Porous Media, 2nd edn., Springer, New York.
14. Pedley, T. J. and Kessler, J. O.: 1987, The orientation of spheroidal microorganisms swimming in a flow field, Proc. R. Soc. Lond. B 231, 47-70.
15. Pedley, T. J. and Kessler, J. O.: 1992, Hydrodynamic phenomena in suspensions of swimming microorganisms, Ann. Rev. Fluid Mech. 24, 313-358.
16. Pedley, T. J., Hill, N. A. and Kessler, J. O.: 1988, The growth of bioconvection patterns in a uniform suspension of gyrotactic microorganisms, J. Fluid Mech. 195, 223-338.
17. Whitaker, S.: 1999, The Method of Volume Averaging, Kluwer, Dordrecht.