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New Developments In Bioconvection In Porous Media: Bioconvection Plumes, Bio-Thermal Convection, And Effects Of Vertical Vibration

A. Kuznetsov
Published 2008 · Environmental Science

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This chapter reviews new developments in bioconvection in a fluid saturated porous medium caused by either gyrotactic or oxytactic microorganisms. Bioconvection arises as a result of an unstable density stratification caused by upswimming microorganisms. This unstable density stratification occurs when the microorganisms, heavier than water, accumulate in the upper regions of the fluid. This hydrodynamic instability may lead to the development of bioconvection plumes, which in case of oxytactic microorganisms transport cells and oxygen from the upper fluid region to the lower fluid regions. The presented modeling is limited to the situation when the average pore size is much larger than the size of a microorganism; therefore, local vorticity generated by flow through the pores does not affect the ability of microorganisms to reorient.
This paper references
10.1017/S0022112096007902
Bioconvection in suspensions of oxytactic bacteria : linear theory
A. J. Hillesdon (1996)
10.1016/S0169-5983(00)00028-9
Natural doubly diffusive convection with vibration
G. Bardan (2001)
10.1063/1.866812
Evolution of bioconvection patterns in a culture of motile flagellates
A. Harashima (1988)
10.1016/S0735-1933(03)00097-6
Analysis of stability of bioconvection of motile oxytactic bacteria in a horizontal fluid saturated porous layer
A. V. Kuzentsov (2003)
10.1016/0092-8240(94)00038-E
The development of concentration gradients in a suspension of chemotactic bacteria.
A. J. Hillesdon (1995)
10.1002/FLD.1125
Direct numerical simulation of settling of a large solid particle during bioconvection
P. Geng (2006)
10.1070/SM1972v016n02ABEH001424
A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS
I. Simonenko (1972)
10.1063/1.1810771
Comments on the mean flow averaged model
G. Bardan (2004)
10.1016/J.IJHEATMASSTRANSFER.2004.05.002
Rayleigh Bénard convective instability of a fluid under high-frequency vibration
I. Cisse (2004)
10.1137/1.9781611973242
The method of weighted residuals and variational principles : with application in fluid mechanics, heat and mass transfer
B. Finlayson (1972)
10.1063/1.870249
Periodic arrays of gyrotactic plumes in bioconvection
S. Ghorai (2000)
10.1108/09615530510590597
The interaction of bioconvection caused by gyrotactic micro‐organisms and settling of small solid particles
A. Kuznetsov (2005)
10.1016/S0735-1933(03)00196-9
Effect of small particles on this stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth
A. Kuznetsov (2004)
10.1016/J.IJENGSCI.2003.08.004
Analytical investigation of a falling plume caused by bioconvection of oxytactic bacteria in a fluid saturated porous medium
A. Kuznetsov (2004)
Thermal Vibrational Convection
A. V. Lyubimov (1998)
10.1016/J.EUROMECHFLU.2005.06.003
The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms
A. Kuznetsov (2006)
10.1002/(SICI)1097-0290(20000705)69:1<47::AID-BIT6>3.0.CO;2-N
Biomass evolution in porous media and its effects on permeability under starvation conditions.
D. Kim (2000)
10.1007/S00162-006-0007-0
Investigation of the onset of bioconvection in a suspension of oxytactic microorganisms subjected to high-frequency vertical vibration
A. Kuznetsov (2006)
10.1103/PHYSREVE.69.066305
Chaotic flow and efficient mixing in a microchannel with a polymer solution.
T. Burghelea (2004)
10.1017/S0022112075001577
Pattern formation in a suspension of swimming microorganisms: equations and stability theory
S. Childress (1975)
10.1002/9781118671627.ch12
Convection in porous media
D. Nield (1992)
10.1615/JPORMEDIA.V9.I6.60
Thermo-Bio-Convection in Porous Media
A. Kuznetsov (2006)
10.1080/00107518508210745
Co-operative and concentrative phenomena of swimming micro-organisms
J. Kessler (1985)
10.1016/J.ICHEATMASSTRANSFER.2005.05.004
The onset of bioconvection in a suspension of negatively geotactic microorganisms with high-frequency vertical vibration
A. Kuznetsov (2005)
10.1007/3-540-46629-0_21
Mutual Dynamics of Swimming Microorganisms and Their Fluid Habitat
J. Kessler (2000)
10.1007/S00162-005-0167-3
Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow fluid layer heated from below
A. Kuznetsov (2005)
10.1017/S0022112098001979
Bacterial Bioconvection : Weakly Nonlinear Theory for Pattern Selection
A. E. Metcalfe (1998)
10.1063/1.3058072
Hydrodynamic and Hydromagnetic Stability
S. Chandrasekhar (1961)
10.1002/1097-0290(20010205)72:3<353::AID-BIT13>3.0.CO;2-U
Biomass plug development and propagation in porous media.
T. Stewart (2001)
10.1016/J.FLUIDDYN.2004.07.003
Numerical modeling of a falling bioconvection plume in a porous medium
S. Becker (2004)
10.1098/rspb.1987.0035
The orientation of spheroidal microorganisms swimming in a flow field
T. J. Pedley (1987)
10.1080/10407780490517638
INFLUENCE OF VIBRATION ON SORET-DRIVEN CONVECTION IN POROUS MEDIA
M. Mojtabi (2004)
10.1002/FLD.1301
Dynamics of large solid particles in bioconvective sedimentation
P. Geng (2007)
10.1615/JPORMEDIA.V9.I6.80
Linear Stability Analysis of the Effect of Vertical Vibration on Bioconvection in a Horizontal Porous Layer of Finite Depth
A. Kuznetsov (2006)
10.1017/S0022112088002393
The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms.
T. J. Pedley (1988)
10.1017/S0022112001005547
Falling plumes in bacterial bioconvection
A. E. Metcalfe (2001)
10.1016/J.ICHEATMASSTRANSFER.2004.10.021
The onset of bioconvection in a suspension of gyrotactic microorganisms in a fluid layer of finite depth heated from below
A. Kuznetsov (2005)
10.1201/9780415876384.CH16
Modeling Bioconvection in Porous Media
A. Kuznetsov (2005)
10.1016/J.IJENGSCI.2005.03.002
Settling of bidispersed small solid particles in a dilute suspension containing gyrotactic micro-organisms
P. Geng (2005)
10.1142/9789814531276
Traffic and Granular Flow
D. Wolf (1996)
10.1017/S0022112099006473
Development and stability of gyrotactic plumes in bioconvection
S. Ghorai (1999)
10.1016/J.IJTHERMALSCI.2006.01.007
The onset of bio-thermal convection in a suspension of gyrotactic microorganisms in a fluid layer: Oscillatory convection
D. Nield (2006)
10.1063/1.1313551
On the Horton–Rogers–Lapwood convective instability with vertical vibration: Onset of convection
G. Bardan (2000)
10.1007/3-540-46629-0
Nonlinear Science at the Dawn of the 21st Century
P. L. Christiansen (2000)
Wavelengths of bioconvection patterns
Bees (1997)
10.1007/978-94-017-3389-2
The method of volume averaging
S. Whitaker (1998)



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