Natural convective boundary-layer flow of a nanofluid past a vertical plate

被引:1250
作者
Kuznetsov, A. V. [1 ]
Nield, D. A. [2 ]
机构
[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
[2] Univ Auckland, Dept Engn Sci, Auckland 1142, New Zealand
关键词
Nanofluid; Brownian motion; Thermophoresis; Natural convection; Boundary layer; Vertical plate;
D O I
10.1016/j.ijthermalsci.2009.07.015
中图分类号
O414.1 [热力学];
学科分类号
摘要
The natural convective boundary-layer flow of a nanofluid past a vertical plate is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented. This solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. For various values of Pr and Le, the variation of the reduced Nusselt number with Nr, Nb and Nt is expressed by correlation formulas. It was found that the reduced Nusselt number is a decreasing function of each of Nr, Nb and Nt. (C) 2009 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:243 / 247
页数:5
相关论文
共 11 条
[1]  
Bejan A., 1984, CONVECTION HEAT TRAN
[2]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[3]  
BUONGIORNO J, 2005, P ICAPP 05 SEOUL MAY
[4]  
Choi S., 1995, DEV APPL NONNEWTONIA, V231, P99
[5]   MASS-TRANSFER TO NATURAL-CONVECTION BOUNDARY-LAYER FLOW DRIVEN BY HEAT-TRANSFER [J].
KHAIR, KR ;
BEJAN, A .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (04) :979-981
[6]   AN ASYMPTOTIC SOLUTION FOR LARGE PRANDTL NUMBER FREE CONVECTION [J].
KUIKEN, HK .
JOURNAL OF ENGINEERING MATHEMATICS, 1968, 2 (04) :355-&
[7]   FREE CONVECTION AT LOW PRANDTL NUMBERS [J].
KUIKEN, HK .
JOURNAL OF FLUID MECHANICS, 1969, 37 :785-&
[8]  
Masuda H., 1993, NETSU BUSSEI, V4, P227, DOI [DOI 10.2963/JJTP.7.227, 10.2963/jjtp.7.227]
[9]  
NIELD DA, INT J HEAT IN PRESS
[10]  
NIELD DA, J HEAT TRANSF UNPUB