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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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References

Choi, S. , 1995, “ Enhancing Thermal Conductivity of Fluids With Nanoparticles,” Developments and Applications of Non-Newtonian Flows, Vol. 66, D. A. Springer , and H. P. Wang , eds., ASME, New York, pp. 99–105.
Tzou, D. Y. , 2008, “ Instability of Nanofluids in Natural Convection,” ASME J. Heat Transfer, 130(7), p. 072401. [CrossRef]
Vadasz, P. , 2006, “ Heat Conduction in Nanofluid Suspensions,” ASME J. Heat Transfer, 128(5), pp. 465–477. [CrossRef]
Vadasz, P. , 1993, “ Three-Dimensional Free Convection in a Long Rotating Porous Box: Analytical Solution,” ASME J. Heat Transfer, 115(3), pp. 639–644. [CrossRef]
Vadasz, P. , 1994, “ Stability of Free Convection in a Narrow Porous Layer Subject to Rotation,” Int. Commun. Heat Mass Transfer, 21(6), pp. 881–890. [CrossRef]
Vadasz, P. , 1996, “ Convection and Stability in a Rotating Porous Layer With Alternating Direction of the Centrifugal Body Force,” Int. J. Heat Mass Transfer, 39(8), pp. 1639–1647. [CrossRef]
Vadasz, P. , and Govender, S. , 1998, “ Two-Dimensional Convection Induced by Gravity and Centrifugal Forces in a Rotating Porous Layer Placed Far Away From the Axis or Rotation,” Int. J. Rotating Mach., 4(2), pp. 73–90. [CrossRef]
Govender, S. , 2003, “ Coriolis Effect on the Linear Stability of Convection in a Porous Layer Placed Far Away From the Axis of Rotation,” Transp. Porous Media, 51(3), pp. 315–326. [CrossRef]
Nield, D. A. , and Bejan, A. , 2013, Convection in a Porous Medium, Springer, New York.
Vafai, K. A. , and Hadim, H. A. , 2000, Handbook of Porous Media, Taylor & Francis Group, New York.
Nield, D. A. , and Kuznetsov, A. V. , 2009, “ Thermal Instability in a Porous Medium Saturated by a Nanofluid,” Int. J. Heat Mass Transfer, 52(25--26), pp. 5796–5801. [CrossRef]
Nield, D. A. , and Kuznetsov, A. V. , 2014, “ Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: A Revised Model,” Int. J. Heat Mass Transfer, 68, pp. 211–214. [CrossRef]
Nield, D. A. , and Kuznetsov, A. V. , 2011, “ The Effect of Vertical Through Flow on Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid,” Transp. Porous Media, 87(3), pp. 765–775. [CrossRef]
Kuznetsov, A. V. , and Nield, D. A. , 2010, “ Effect of Local Thermal Nonequilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid,” Transp. Porous Media, 83(2), pp. 425–436. [CrossRef]
Kuznetsov, A. V. , and Nield, D. A. , 2010, “ The Onset of Double-Diffusive Nanofluid Convection in a Layer of a Saturated Porous Medium,” Transp. Porous Media, 85(3), pp. 941–951. [CrossRef]
Govender, S. , 2016, “ Thermal Instability in a Rotating Vertical Porous Layer Saturated by a Nanofluid,” ASME J. Heat Transfer, 138(5), p. 052601. [CrossRef]

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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