Thermal instability in a non-Darcy porous medium saturated with a nanofluid and with a convective boundary condition

Boundary value problems

Sachin Shaw¹  Precious Sibanda¹ 

[1] School of Mathematical Sciences, University of KwaZulu-Natal, Scottsville, Pietermaritzburg, South Africa

关键词: throughflow;    convective boundary condition;    oscillatory convection;    linear stability analysis;   

DOI  :  10.1186/1687-2770-2013-186

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the effect of vertical throughflow on the onset of convection in a horizontal layer of a non-Darcy porous medium saturated with a nanofluid. A normal mode analysis is used to find solutions for the fluid layer confined between parallel plates with free-rigid boundaries. The criterion for the onset of stationary and oscillatory convection is derived. The analysis incorporates the effects of Brownian motion, thermophoresis and a convective boundary condition. The effects of the concentration Rayleigh number, Lewis number, Darcy number and modified diffusivity ratio on the stability of the system are investigated.

【 授权许可】

CC BY