Thermal instability in a rotating nanofluid layer: A revised model

In this paper, the analysis of thermal instability of rotating nanofluid layer is revised with a physically more realistic boundary condition on the nanoparticle volumetric fraction i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volumetric fraction on the r...

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Main Authors: Dhananjay Yadav, G.S. Agrawal, Jinho Lee
Format: Article
Language:English
Published: Elsevier 2016-03-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915000805
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author Dhananjay Yadav
G.S. Agrawal
Jinho Lee
author_facet Dhananjay Yadav
G.S. Agrawal
Jinho Lee
author_sort Dhananjay Yadav
collection DOAJ
description In this paper, the analysis of thermal instability of rotating nanofluid layer is revised with a physically more realistic boundary condition on the nanoparticle volumetric fraction i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volumetric fraction on the rigid impermeable boundaries. This shows that the nanoparticle fraction value at the boundary adjusts accordingly. In this respect, the present model is more realistic physically than those of the previous investigations. The numerical computations are presented for water-based nanofluids with alumina and copper nanoparticles. For Alumina-water nanofluid, zero flux nanoparticle boundary condition has more destabilizing effect than the constant nanoparticle boundary conditions, while reverse for copper–water nanofluid. The effect of rotation is found to have a stabilizing effect. Further, volumetric fraction of nanoparticles ϕ0∗, the Lewis number Le, the density ratio Rρ and modified diffusivity ratio NA are found to destabilize the system.
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spelling doaj.art-c8dd999fe6c34c909a1f7db42a0d33d72022-12-21T20:21:06ZengElsevierAin Shams Engineering Journal2090-44792016-03-017143144010.1016/j.asej.2015.05.005Thermal instability in a rotating nanofluid layer: A revised modelDhananjay Yadav0G.S. Agrawal1Jinho Lee2School of Mechanical Engineering, Yonsei University, Seoul 120 749, South KoreaInstitute of Computer Application, Mangalayatan University, Aligarh, IndiaSchool of Mechanical Engineering, Yonsei University, Seoul 120 749, South KoreaIn this paper, the analysis of thermal instability of rotating nanofluid layer is revised with a physically more realistic boundary condition on the nanoparticle volumetric fraction i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volumetric fraction on the rigid impermeable boundaries. This shows that the nanoparticle fraction value at the boundary adjusts accordingly. In this respect, the present model is more realistic physically than those of the previous investigations. The numerical computations are presented for water-based nanofluids with alumina and copper nanoparticles. For Alumina-water nanofluid, zero flux nanoparticle boundary condition has more destabilizing effect than the constant nanoparticle boundary conditions, while reverse for copper–water nanofluid. The effect of rotation is found to have a stabilizing effect. Further, volumetric fraction of nanoparticles ϕ0∗, the Lewis number Le, the density ratio Rρ and modified diffusivity ratio NA are found to destabilize the system.http://www.sciencedirect.com/science/article/pii/S2090447915000805NanofluidBrownian motionThermophoresisThermal instabilityRotationCritical Rayleigh number
spellingShingle Dhananjay Yadav
G.S. Agrawal
Jinho Lee
Thermal instability in a rotating nanofluid layer: A revised model
Ain Shams Engineering Journal
Nanofluid
Brownian motion
Thermophoresis
Thermal instability
Rotation
Critical Rayleigh number
title Thermal instability in a rotating nanofluid layer: A revised model
title_full Thermal instability in a rotating nanofluid layer: A revised model
title_fullStr Thermal instability in a rotating nanofluid layer: A revised model
title_full_unstemmed Thermal instability in a rotating nanofluid layer: A revised model
title_short Thermal instability in a rotating nanofluid layer: A revised model
title_sort thermal instability in a rotating nanofluid layer a revised model
topic Nanofluid
Brownian motion
Thermophoresis
Thermal instability
Rotation
Critical Rayleigh number
url http://www.sciencedirect.com/science/article/pii/S2090447915000805
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AT gsagrawal thermalinstabilityinarotatingnanofluidlayerarevisedmodel
AT jinholee thermalinstabilityinarotatingnanofluidlayerarevisedmodel