Electrothermal instability in a porous medium layer saturated by a dielectric nanofluid

Research output: Contribution to journalArticle

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Abstract

The onset of convection in a porous medium saturated by a dielectric nanofluid with vertical AC electric field is investigated. The flux of volume fraction of a nanoparticle with the effect of thermophoresis is taken to be zero on the boundaries and the eigenvalue problem is solved using the Galerkin method. The model used for nanofluid incorporates the combined effect of Brownian diffusion, thermophoresis and electrophoresis, while for porous medium Darcy model is employed. The results show that increase in the AC electric Rayleigh- Darcy number, the Lewis number, the modified diffusivity ratio and the concentration Rayleigh-Darcy number are to hasten the onset of convection. The size of convection cells does not depend on nanofluid parameters, but decreases with increasing the AC electric Rayleigh-Darcy number. The non-existence of oscillatory convection is also obtained.

Original languageEnglish
Pages (from-to)2123-2132
Number of pages10
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number5
Publication statusPublished - 2016 Jan 1

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Rayleigh number
thermophoresis
Porous materials
alternating current
convection
Thermophoresis
convection cells
Lewis numbers
Galerkin method
electrophoresis
diffusivity
eigenvalues
Galerkin methods
Electrophoresis
Volume fraction
nanoparticles
electric fields
Electric fields
Fluxes
Nanoparticles

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Electrothermal instability in a porous medium layer saturated by a dielectric nanofluid",
abstract = "The onset of convection in a porous medium saturated by a dielectric nanofluid with vertical AC electric field is investigated. The flux of volume fraction of a nanoparticle with the effect of thermophoresis is taken to be zero on the boundaries and the eigenvalue problem is solved using the Galerkin method. The model used for nanofluid incorporates the combined effect of Brownian diffusion, thermophoresis and electrophoresis, while for porous medium Darcy model is employed. The results show that increase in the AC electric Rayleigh- Darcy number, the Lewis number, the modified diffusivity ratio and the concentration Rayleigh-Darcy number are to hasten the onset of convection. The size of convection cells does not depend on nanofluid parameters, but decreases with increasing the AC electric Rayleigh-Darcy number. The non-existence of oscillatory convection is also obtained.",
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Electrothermal instability in a porous medium layer saturated by a dielectric nanofluid. / Yadav, D.; Lee, Jinho; Cho, Hyung Hee.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 5, 01.01.2016, p. 2123-2132.

Research output: Contribution to journalArticle

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