Onset of convection in a nanofluid layer confined within a Hele-Shaw cell

D. Yadav, Jinho Lee

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this study, the onset of nanofluid convection confined within a Hele-Shaw cell is investigated by performing a classical linear stability analysis. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for Hele-Shaw cell Brinkman model are employed. The new stability equations are formulated by introducing new characteristic dimensionless parameters such as the Hele-Shaw number, the Hele-Shaw Rayleigh number and the nanoparticle concentration Hele-Shaw Rayleigh number. The resulting stability equations are solved numerically by using higher order Galerkin method. It is found that the nanoparticle concentration Hele-Shaw Rayleigh number, the Lewis number and the modified diffusivity ratio hasten the onset of convection, while the Hele-Shaw number delays the onset of convection. A comparison is also made between the existing boundary conditions for nanoparticle and obtained that the zero nanoparticle flux boundary conditions under the thermophoretic effects has more destabilizing effect than the fixed nanoparticle boundary conditions.

Original languageEnglish
Pages (from-to)519-527
Number of pages9
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number2
DOIs
Publication statusPublished - 2016 Jan 1

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convection
Nanoparticles
Rayleigh number
nanoparticles
cells
Boundary conditions
boundary conditions
Thermophoresis
thermophoresis
Lewis numbers
Linear stability analysis
Brownian movement
Galerkin method
Galerkin methods
diffusivity
Convection
Fluxes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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Onset of convection in a nanofluid layer confined within a Hele-Shaw cell. / Yadav, D.; Lee, Jinho.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 2, 01.01.2016, p. 519-527.

Research output: Contribution to journalArticle

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