Abstract
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.
Highlights
In the last several years, an innovative technique for improving the heat transfer characteristics by adding ultra fine metallic particles in common fluids such as water and oil has been investigated
4 Results and discussion The critical Rayleigh numbers for stationary and oscillatory convection are calculated from equations ( ) and ( ), respectively
The influence of the Biot number, magnetic parameter, Darcy number, porosity of the medium on the stationary Rayleigh number and oscillatory Rayleigh number are shown in Figures, where we have shown the critical stationary and oscillatory Rayleigh numbers for different Darcy and Biot numbers
Summary
In the last several years, an innovative technique for improving the heat transfer characteristics by adding ultra fine metallic particles in common fluids such as water and oil has been investigated. Aziz [ ] studied the Blasius flow over a flat plate with a convection thermal boundary condition. Kuznetsov and Nield [ ] used the Brinkman model to study thermal instability in a horizontal porous layer saturated with a nanofluid. The effect of the Biot number, magnetic parameter, Brinkman-Darcy parameter on thermal instability has been studied.
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