THE EFFECT OF LOCAL THERMAL NONEQUILIBRIUM ON THE ONSET OF CONVECTION IN A POROUS MEDIUM LAYER SATURATED BY A NANOFLUID: BRINKMAN MODEL

被引：32

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

来源：

JOURNAL OF POROUS MEDIA | 2011年 / 14卷 / 04期

关键词：

local thermal nonequilibrium; LTNE; nanofluid; porous medium; instability; natural convection; INSTABILITY;

D O I：

10.1615/JPorMedia.v14.i4.10

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The onset of convection in a horizontal layer of 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 Brinkman model is employed. Three cases of free free, rigid rigid, and rigid free boundaries are considered. The effect of local thermal nonequilibrium between the particle, fluid, and solid-matrix phases is investigated using a three-temperature model. The analysis reveals that in some circumstances the effect of local thermal nonequilibrium (LTNE) can be significant, but for a typical dilute nanofluid (with large Lewis number and with small particle-to-fluid heat capacity ratio) the effect is small.

引用

页码：285 / 293

页数：9

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