The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms

被引:415
作者
Kuznetsov, A. V. [1 ]
机构
[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
关键词
Nanofluid bioconvection; Gyrotactic microorganisms; Brownian motion; Thermophoresis; Natural convection; Horizontal layer; LAYER; PATTERNS; GROWTH;
D O I
10.1016/j.icheatmasstransfer.2010.08.015
中图分类号
O414.1 [热力学];
学科分类号
摘要
The purpose of this paper is to study the onset of bioconvection in a horizontal layer filled with a nanofluid that also contains gyrotactic microorganisms. The idea is to use microorganisms to induce or enhance convection in a nanofluid. A linear instability analysis is used to solve this problem. A Galerkin method is utilized to obtain an analytical solution for the critical Rayleigh number for the non-oscillatory situation. As in the case of a regular nanofluid (without the microorganisms), the presence of nanoparticles can either reduce or increase the value of the critical Rayleigh number, depending on whether the basic nanoparticle distribution is top-heavy or bottom-heavy. In contrast, the effect of gyrotactic microorganisms is always destabilizing. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1421 / 1425
页数:5
相关论文
共 11 条
[1]   Effect of particle size on the convective heat transfer in nanofluid in the developing region [J].
Anoop, K. B. ;
Sundararajan, T. ;
Das, Sarit K. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (9-10) :2189-2195
[2]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[3]   GROWTH OF BIOCONVECTION PATTERNS IN A SUSPENSION OF GYROTACTIC MICROORGANISMS IN A LAYER OF FINITE DEPTH [J].
HILL, NA ;
PEDLEY, TJ ;
KESSLER, JO .
JOURNAL OF FLUID MECHANICS, 1989, 208 :509-543
[4]   The interaction of bioconvection caused by gyrotactic micro-organisms and settling of small solid particles [J].
Kuznetsov, AV ;
Geng, P .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2005, 15 (04) :328-347
[5]   Effect of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth [J].
Kuznetsov, AV ;
Avramenko, AA .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2004, 31 (01) :1-10
[6]   The onset of bioconvection in a suspension of gyrotactic microorganisms in a fluid layer of finite depth heated from below [J].
Kuznetsov, AV .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2005, 32 (05) :574-582
[7]   The onset of convection in a horizontal nanofluid layer of finite depth [J].
Nield, D. A. ;
Kuznetsov, A. V. .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2010, 29 (03) :217-223
[8]   Instability of uniform micro-organism suspensions revisited [J].
Pedley, T. J. .
JOURNAL OF FLUID MECHANICS, 2010, 647 :335-359
[9]   THE ORIENTATION OF SPHEROIDAL MICROORGANISMS SWIMMING IN A FLOW FIELD [J].
PEDLEY, TJ ;
KESSLER, JO .
PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1987, 231 (1262) :47-70
[10]   THE GROWTH OF BIOCONVECTION PATTERNS IN A UNIFORM SUSPENSION OF GYROTACTIC MICROORGANISMS [J].
PEDLEY, TJ ;
HILL, NA ;
KESSLER, JO .
JOURNAL OF FLUID MECHANICS, 1988, 195 :223-237