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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Format: | Article |
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Elsevier
2016-03-01
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Series: | Ain Shams Engineering Journal |
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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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id | doaj.art-c8dd999fe6c34c909a1f7db42a0d33d7 |
institution | Directory Open Access Journal |
issn | 2090-4479 |
language | English |
last_indexed | 2024-12-19T12:37:33Z |
publishDate | 2016-03-01 |
publisher | Elsevier |
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series | Ain Shams Engineering Journal |
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 |
work_keys_str_mv | AT dhananjayyadav thermalinstabilityinarotatingnanofluidlayerarevisedmodel AT gsagrawal thermalinstabilityinarotatingnanofluidlayerarevisedmodel AT jinholee thermalinstabilityinarotatingnanofluidlayerarevisedmodel |