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Research Papers: Micro/Nanoscale Heat Transfer

Thermal Instability of Convection in a Rotating Nanofluid Saturated Porous Layer Placed at a Finite Distance From the Axis of Rotation

[+] Author and Article Information
S. Govender

Honorary Professor
Corporate Specialist Gas Turbines
and Thermo-Flow Systems
ESKOM Holdings, Ltd.,
Maxwell Drive Sunninghill,
Johannesburg 2000, South Africa;
School of Mechanical Engineering,
University of Kwa-Zulu Natal Durban,
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 January 25, 2016; final manuscript received May 12, 2016; published online June 7, 2016. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 138(10), 102402 (Jun 07, 2016) (5 pages) Paper No: HT-16-1029; doi: 10.1115/1.4033645 History: Received January 25, 2016; Revised May 12, 2016

An analytical investigation for the onset of convection in a vertical porous layer saturated by a nanofluid is presented when the porous layer is placed some finite distance from the axis of rotation. A linear stability analysis is used to determine the convection threshold in terms of the key parameters for the nanofluid. This study reconfirms 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 and offset distance for stationary convection.

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Figures

Grahic Jump Location
Fig. 1

Rotating porous layer saturated with nanofluid and placed at a finite distance from the axis of rotation

Grahic Jump Location
Fig. 2

Stationary convection: critical Rayleigh numbers versus offset parameter

Grahic Jump Location
Fig. 3

Stability map indicating the regions of stationary convection

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