Thermo-bio-convection in porous media

Journal of Porous Media

Volumn 9, Issue 6, 2006, Pages 581-589

  Kuznetsov, A V ^a  

^a North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRUDE PETROLEUM; MICROBIOLOGY; MICROORGANISMS; POROUS MATERIALS; THERMAL STRATIFICATION;

FLUID SATURATION; OIL RECOVERY; TEMPERATURE VARIATION;

HEAT CONVECTION;

EID: 33847097784     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v9.i6.60     Document Type: Article

References (15)

1. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford University Press, London, 1961.
2. Childress, S., Levandowsky, M., and Spiegel, E. A., Pattern formation in a suspension of swimming micro-organisms: Equations and stability theory, J. Fluid Mech., vol. 63, pp. 591-613, 1975.
3. Finlayson, B. A., The Method of Weighted Residuals and Variational Principles, Academic Press, New York, Chap. 6, 1972.
4. Ghorai, S. and Hill, N. A., Development and stability of gyrotactic plumes in bioconvection, J. Fluid Mech., vol. 400, pp. 1-31, 1999.
5. Ghorai, S. and Hill, N. A., Periodic arrays of gyrotactic plumes in bioconvection, Phys. Fluids, vol. 12, pp. 5-22, 2000.
6. Hill, N. A., Pedley, T. J., and Kessler, J. O., The growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth, J. Fluid Mech., vol. 208, pp. 509-543, 1989.
7. Kim, D.-S. and Fogler, H. S., Biomass evolution in porous media and its effects on permeability under starvation conditions, Biotech. Bioeng., vol. 69, pp. 47-56, 2000.
8. Kuznetsov, A. V., Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow layer heated from below, Theor. Comput. Fluid Dyn., vol. 20, pp. 78-87, 2006.
9. Nield, D. A., private communication, 2003.
10. Nield, D. A. and Bejan, A., Convection in Porous Media, 3rd ed., Springer, New York, 2006.
11. Pedley, T. J., Hill, N. A., and Kessler, J. O., The growth of bioconveciton patterns in a uniform suspension of gyrotactic micro-organisms, J. Fluid Mech., vol. 195, pp. 223-338, 1988.
12. Pedley, T. J. and Kessler, J. O., The orientation of spheroidal micro-organisms swimming in a flow field, Proc. R. Soc. Lond., Ser. B, vol. 231, pp. 47-70, 1987.
13. Pedley, T. J. and Kessler, J. O., A new continuum model for suspensions of gyrotactic micro-organisms, J. Fluid Mech., vol. 212, pp. 155-182, 1990.
14. Stewart, T. L. and Fogler, H. S., Biomass plug development and propagation in porous media, Biotech. Bioeng., vol. 72, pp. 353-363, 2001.
15. Whitaker, S., The Method of Volume Averaging, Kluwer, Dordrecht, 1999.