Thermal instability of a nanofluid saturating a rotating anisotropic porous medium

Agarwal, S. and Bhadauria, B.S. and Siddheshwar, P.G. (2011) Thermal instability of a nanofluid saturating a rotating anisotropic porous medium. Special Topics and Reviews in Porous Media, 2 (1). pp. 53-64. ISSN 21514798

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Official URL: https://doi.org/10.1615/SpecialTopicsRevPorousMedi...

Abstract

The present work aims at studying the thermal instability in a rotating anisotropic porous layer saturated by a nanofluid. The model used for nanofluid combines the effect of Brownian motion along with thermophoresis, while for a porous medium the Darcy model has been used. Using linear stability analysis the expression for the critical Rayleigh number has been obtained in terms of various nondimensional parameters. The effect of various parameters on the onset of instability has been presented graphically and discussed in detail. Bottom-heavy and top-heavy arrangements of nanoparticles are shown to prefer oscillatory and stationary modes of convection, respectively. Several results are obtained as limiting cases of the present study. © 2011 by Begell House Inc.

Item Type: Article
Additional Information: cited By 28
Uncontrolled Keywords: Anisotropic porous medium; Brownian motion; Critical Rayleigh number; Darcy model; Instability; Limiting case; Nano-fluid; Non-dimensional parameters; Porous layers; Porous medium; Stationary modes; Taylor number; Thermal instabilities, Anisotropic media; Anisotropy; Brownian movement; Linear stability analysis; Porous materials; Rotation; Thermodynamic stability, Nanofluidics
Subjects: Faculty of Science > Pure Sciences > Mathematics
Divisions: Jnana Bharathi / Central College Campus > Department of Mathematics
Depositing User: Mr. Kirana Kumar D
Date Deposited: 01 Apr 2016 10:33
Last Modified: 01 Apr 2016 10:33
URI: http://eprints-bangaloreuniversity.in/id/eprint/2495

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