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

Sachin Shaw, Precious Sibanda

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Article number186
JournalBoundary Value Problems
Volume2013
DOIs
Publication statusPublished - Nov 25 2013

Fingerprint

Nanofluid
Porous Media
Boundary conditions
Convection
Thermophoresis
Normal Modes
Rayleigh number
Diffusivity
Brownian motion
Horizontal
Vertical
Fluid

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory

Cite this

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Thermal instability in a non-Darcy porous medium saturated with a nanofluid and with a convective boundary condition. / Shaw, Sachin; Sibanda, Precious.

In: Boundary Value Problems, Vol. 2013, 186, 25.11.2013.

Research output: Contribution to journalArticle

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AB - 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.

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