Thermal instability in a nanofluid layer with a vertical magnetic field

被引：88

作者：

Yadav, Dhananjay ^{[1
]}

Bhargava, R. ^{[1
]}

Agrawal, G. S. ^{[2
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee, Uttar Pradesh, India

[2] Manglayatan Univ, Dept Comp Sci, Aligarh, Uttar Pradesh, India

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2013年 / 80卷 / 01期

关键词：

Brownian motion; Critical Rayleigh number; Galerkin method; Nanofluid; Thermal instability; Thermophoresis; BENARD-MARANGONI CONVECTION; ONSET; NANOPARTICLES; SUSPENSIONS; FLUID;

D O I：

10.1007/s10665-012-9598-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The combined effect of a vertical magnetic field and the boundaries on the onset of convection in an electrically conducting nanofluid layer heated from below is investigated using linear stability theory. The employed model incorporates the effects of Brownian motion and thermophoresis. The boundaries are considered to be either rigid or free. The eigenvalue problem is solved analytically for free-free boundaries and numerically for rigid-rigid and lower-rigid and upper-free boundaries using the Galerkin technique. Numerical results are presented for alumina-water nanofluid.

引用

页码：147 / 164

页数：18

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