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

Journal article

Authors/Editors

Shaw, Sachin

Research Areas

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Publication Details

Author list: Shaw S, Sibanda P

Publisher: Hindawi / Springer Verlag (Germany) / SpringerOpen (part of Springer Nature)

Place: LONDON

Publication year: 2013

Journal: Boundary Value Problems (1687-2762)

Journal acronym: BOUND VALUE PROBL

Number of pages: 13

ISSN: 1687-2762

Languages: English-Great Britain (EN-GB)

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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.

Keywords

Convective boundary condition, linear stability analysis, oscillatory convection, throughflow

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