Thermal convection in a Kuvshiniski viscoelastic nanofluid saturated porous layer

Dhananjay Yadav, R. A. Mohamed, Jinho Lee, Hyung Hee Cho

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The thermal convection in a horizontal layer of a porous medium saturated with a viscoelastic nanofluid was studied analytically. A Kuvshiniski-type constitutive equation is used to describe the behavior of viscoelastic nanofluids. The model used for the viscoelastic nanofluid incorporates the effects of Brownian motion and thermophoresis. A physically more realistic boundary condition than the previous ones on the nanoparticle volume fraction is considered i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volume fraction on the boundaries. Using linear stability theory, the exact analytical expression for the Darcy–Rayleigh number is obtained in terms of various non-dimensional parameters. Results indicate that the coefficient of viscosity, porous medium and nanoparticles significantly influences the stability characteristics of the system. The effect of various parameters on the thermal instability is also presented graphically.

Original languageEnglish
Pages (from-to)613-621
Number of pages9
JournalAin Shams Engineering Journal
Volume8
Issue number4
DOIs
Publication statusPublished - 2017 Dec

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Nanoparticles
Porous materials
Volume fraction
Thermophoresis
Brownian movement
Constitutive equations
Boundary conditions
Viscosity
Fluxes
Hot Temperature
Convection

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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title = "Thermal convection in a Kuvshiniski viscoelastic nanofluid saturated porous layer",
abstract = "The thermal convection in a horizontal layer of a porous medium saturated with a viscoelastic nanofluid was studied analytically. A Kuvshiniski-type constitutive equation is used to describe the behavior of viscoelastic nanofluids. The model used for the viscoelastic nanofluid incorporates the effects of Brownian motion and thermophoresis. A physically more realistic boundary condition than the previous ones on the nanoparticle volume fraction is considered i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volume fraction on the boundaries. Using linear stability theory, the exact analytical expression for the Darcy–Rayleigh number is obtained in terms of various non-dimensional parameters. Results indicate that the coefficient of viscosity, porous medium and nanoparticles significantly influences the stability characteristics of the system. The effect of various parameters on the thermal instability is also presented graphically.",
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Thermal convection in a Kuvshiniski viscoelastic nanofluid saturated porous layer. / Yadav, Dhananjay; Mohamed, R. A.; Lee, Jinho; Cho, Hyung Hee.

In: Ain Shams Engineering Journal, Vol. 8, No. 4, 12.2017, p. 613-621.

Research output: Contribution to journalArticle

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AU - Mohamed, R. A.

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