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Research Papers: Porous Media

Thermal Instability in a Rotating Vertical Porous Layer Saturated by a Nanofluid

[+] Author and Article Information
S. Govender

ESKOM Holdings, Ltd.,
Corporate Specialist Gas Turbines and
Thermo-flow Systems,
Technology Engineering,
Maxwell Drive Sunninghill,
Johannesburg 2000, South Africa;
School of Mechanical Engineering,
University of Kwa-Zulu Natal,
King George V Avenue,
Durban 4001, South Africa
e-mail: govends@eskom.co.za

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 13, 2015; final manuscript received December 2, 2015; published online January 27, 2016. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 138(5), 052601 (Jan 27, 2016) (4 pages) Paper No: HT-15-1544; doi: 10.1115/1.4032313 History: Received August 13, 2015; Revised December 02, 2015

An analytical investigation of the onset on convection in a vertical porous layer saturated by a nanofluid is presented. The Darcy model is used for the vertical porous layer and a linear stability analysis is used to determine the convection threshold in terms of the key parameters for the nanofluid. This study reveals that the Taylor number and gravity effects are passive, and that the most critical mode is roll cells aligned with the vertical axis of rotation. The critical Rayleigh number is presented in terms of the nanofluid parameters for both stationary and oscillatory convection.

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References

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Figures

Grahic Jump Location
Fig. 1

Stability map indicating the regions of stationary and oscillatory convection

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