The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid

被引:739
作者
Nield, D. A. [2 ]
Kuznetsov, A. V. [1 ]
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
Cheng-Minkowycz problem; Natural convection; Nanofluid; Porous medium; Similarity solution; HEAT-TRANSFER;
D O I
10.1016/j.ijheatmasstransfer.2009.07.024
中图分类号
O414.1 [热力学];
学科分类号
摘要
The Cheng-Minkowycz problem of natural convection past a vertical plate, in a porous medium saturated by a nanofluid, is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy model is employed. 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. The dependency of the Nusslelt number on these four parameters is investigated. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:5792 / 5795
页数:4
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