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Research Papers: Porous Media

The Effect of Vertical Throughflow on Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: A Revised Model

[+] Author and Article Information
D. A. Nield

Department of Engineering Science,
University of Auckland,
Private Bag 92019,
Auckland 1142, New Zealand
e-mail: d.nield@auckland.ac.nz

A. V. Kuznetsov

Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
Campus Box 7910,
Raleigh, NC 27695-7910
e-mail: avkuznet@ncsu.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 9, 2014; final manuscript received January 21, 2015; published online March 3, 2015. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 137(5), 052601 (May 01, 2015) (5 pages) Paper No: HT-14-1521; doi: 10.1115/1.4029773 History: Received August 09, 2014; Revised January 21, 2015; Online March 03, 2015

The model developed in our previous paper (Nield and Kuznetsov, 2011, “The Effect of Vertical Throughflow on Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid,” Transp. Porous Media, 87(3), pp. 765–775) is now revised to accommodate a more realistic boundary condition on the nanoparticle volume fraction. The new boundary condition postulates zero nanoparticle flux through the boundaries. We established that in the new model, oscillatory instability is impossible. We also established that the critical Rayleigh number depends on three dimensionless parameters, and we derived these three parameters from the governing equations. We also briefly investigated the major trends.

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References

Choi, S., 1995, “Enhancing Thermal Conductivity of Fluids With Nanoparticles,” Developments and Applications of Non-Newtonian Flows, ASME FED-Vol. 231/MD-Vol. 66, D. A.Siginer and H. P.Wang, eds., ASME, New York, pp. 99–105.
Haddad, Z., Oztop, H. F., Abu-Nada, B., and Mataoui, A., 2012, “A Review on Natural Convective Heat Transfer of Nanofluids,” Renewable Sustainable Energy Rev., 16(7), pp. 5363–5378. [CrossRef]
Buongiorno, J., 2006, “Convective Transport in Nanofluids,” ASME J. Heat Transfer, 128(3), pp. 240–250. [CrossRef]
Tzou, D. Y., 2008, “Instability of Nanofluids in Natural Convection,” ASME J. Heat Transfer, 130(7), p. 072401. [CrossRef]
Tzou, D. Y., 2008, “Thermal Instability of Nanofluids in Natural Convection,” Int. J. Heat Mass Transfer, 51(11–12), pp. 2967–2979. [CrossRef]
Nield, D. A., and Kuznetsov, A. V., 2010, “The Onset of Convection in a Horizontal Nanofluid Layer of Finite Depth,” Eur. J. Mech., B, 29(3), pp. 217–223. [CrossRef]
Nield, D. A., and Kuznetsov, A. V., 2009, “Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid,” Int. J. Heat Mass Transfer, 52(25–26), pp. 5796–5801. [CrossRef]
Nield, D. A., and Bejan, A., 2013, Convection in Porous Media, 4th ed., Springer, New York.
Nield, D. A., and Kuznetsov, A. V., 2011, “The Effect of Vertical Throughflow on Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid,” Transp. Porous Media, 87(3), pp. 765–775. [CrossRef]
Jaimala, and Singh, R., 2014, “A Note on the Paper by Nield and Kuznetsov,” Transp. Porous Media, 102(1), pp. 137–138. [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]

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