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Technical Brief

A Note on Double Dispersion Effects in a Nanofluid Flow in a Non-Darcy Porous Medium

[+] Author and Article Information
F. G. Awad

School of Mathematical Sciences,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209,
Pietermaritzburg, South Africa
e-mail: awadf@ukzn.ac.za

P. Sibanda

School of Mathematical Sciences,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209,
Pietermaritzburg, South Africa
e-mail: sibandap@ukzn.ac.za

P. V. S. N. Murthy

Department of Mathematics,
Indian Institute of Technology,
Kharagpur 721 302, India
e-mail: pvsnm@maths.iitkgp.ernet.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received August 24, 2012; final manuscript received May 8, 2013; published online June 2, 2015. Assoc. Editor: Jose L. Lage.

J. Heat Transfer 137(10), 104501 (Oct 01, 2015) (5 pages) Paper No: HT-12-1462; doi: 10.1115/1.4024895 History: Received August 24, 2012; Revised May 08, 2013; Online June 02, 2015

A non-Darcian model has been employed to investigate a nanofluid flow in a porous layer with double dispersion effects. The model incorporates Brownian motion and thermophoresis to study heat and mass transfer characteristics within the nanofluid. A similarity transformation is used to obtain a system of ordinary differential equations that are solved numerically using a linearization method. The effects of fluid and physical parameters such as thermal and solutal dispersions, the Brownian motion, and thermophoresis on the heat and mass transfer characteristics of the nanofluid are determined, and for some limiting cases, compared to results in the literature.

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References

Pak, B. C., and Cho, Y. I., 1998, “Hydrodynamic and Heat Transfer Study of Dispersed Fluids With Submicron Metallic Oxide Particle,” Exp. Heat Transfer, 11, pp. 151–170. [CrossRef]
Xuan, Y., and Li, Q., 2003, “Investigation on Convective Heat Transfer and Flow Features of Nanofluids,” ASME J. Heat Transfer, 125, pp. 151–155. [CrossRef]
Ahuja, A. S., 1975, “Augmentation of Heat Transfer in Laminar Flow of Polystyrene Suspensions,” J. Appl. Phys., 46, pp. 3408–3416. [CrossRef]
Buongiorno, J., 2006, “Convective Transport in Nanofluids,” ASME J. Heat Transfer, 128, pp. 240–250. [CrossRef]
Nield, D. A., and Kuznetsov, A. V., 2009, “The Cheng-Minkowycz Problem for Natural Convective Boundary-Layer Flow in a Porous Medium Saturated by a Nanofluid,” Int. J. Heat Mass Transfer, 52, pp. 5792–5795. [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/Fluids, 29, pp. 217–223. [CrossRef]
Degan, G., 1972, “Some Aspects of Heat and Mass Transport in Porous Media,” Developments in Soil Science (Fundamentals of Transport Phenomena in Porous Media), International Association for Hydraulic Research, Elsevier, London.
Telles, R. S., and Trevisan, O. V., 1993, “Dispersion in Heat and Mass Transfer Natural Convection Along Vertical Boundaries in Porous Media,” Int. J. Heat Mass Transfer, 36, pp. 1357–1365. [CrossRef]
Murthy, P. V. S. N., 2000, “Effects of Double Dispersion on Mixed Convection Heat and Mass Transfer in Non-Darcy Porous Medium,” ASME J. Heat Transfer, 122, pp. 476–484. [CrossRef]
El-Amin, M. F., 2004, “Double Dispersion Effects on Natural Convection Heat and Mass Transfer in Non-Darcy Porous Medium,” Appl. Math. Comput., 156, pp. 1–17. [CrossRef]
Narayana, P. A. L., and Sibanda, P., 2011, “Influence of the Soret Effect and Double Dispersion on MHD Mixed Convection Along a Vertical Flat Plate in Non-Darcy Porous Medium,” Int. J. Nonlinear Sci., 12, pp. 352–364.
Murti, A. S. N., Sastry, D. R. V. S. R. K., Kameswaran, P. K., and Poorna Kantha, T., 2011, “Effects of Mixed Convection and Double Dispersion on Semi Infinite Vertical Plate in Presence of Radiation,” World Acad. Sci. Eng. Technol., 60, pp. 1232–1239.
Awad, F. G., Sibanda, P., Motsa, S. S., and Makinde, O. D., 2011, “Convection From an Inverted Cone in a Porous Medium With Cross-Diffusion Effects,” Comput. Math. Appl., 61, pp. 1431–1441. [CrossRef]
Kairi, R. R., 2001, “Viscosity and Dispersion Effects on Natural Convection From a Vertical Cone in a Non-Newtonian Fluid Saturated Porous Medium,” Therm. Sci., 15, pp. S307–S316. [CrossRef]
Srinivasacharya, D., Pranitha, J., and RamReddy, Ch., 2012, “Magnetic and Double Dispersion Effects on Free Convection in a Non-Darcy Porous Medium Saturated With Power-Law Fluid,” Int. J. Comput. Methods Eng. Sci. Mech., 13, pp. 210–218. [CrossRef]
Motsa, S. S., and Sibanda, P., 2012, “A Linearization Method for Non-Linear Singular Boundary Value Problems,” Comput. Math. Appl., 63, pp. 1197–1203. [CrossRef]
Motsa, S. S., and Sibanda, P., 2012, “On the Solution of MHD Flow Over a Nonlinear Stretching Sheet by an Efficient Semi-Analytical Technique,” Int. J. Numer. Methods Fluids, 68, pp. 1524–1537. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

A comparison of base and nanofluid properties f(η), f′(η), and θ(η) when Gr = 0.5, Rad = 1, γ = 0.3, ξ = 0.3, and Le = 10

Grahic Jump Location
Fig. 2

Effect of thermophoresis on the reduced Nusselt Nur/Ra12 and Sherwood Shr/Ra12 numbers when Nr = 0.5, Gr = 0.5, Rad = 1, γ = 0.3, ξ = 0.3, and Le = 10

Grahic Jump Location
Fig. 3

Effect of thermophoresis on the reduced Nusselt and Sherwood numbers when Nb = 0.5, Gr = 0.5, Rad = 1, γ = 0.3, ξ = 0.3, and Le = 10

Grahic Jump Location
Fig. 4

Effect of the Lewis number and the modified Grashof number on Nur/Ra12 and Shr/Ra12 when Nr = 0.5, Nb = 0.5, Nt = 0.5, Rad = 1, ξ = 0.3, and γ = 0.3

Grahic Jump Location
Fig. 5

Effects of the Rayleigh number Rad and the thermal dispersion coefficient γ on heat and mass transfer coefficients when Nr = 0.5, Nb = 0.5, Nt = 0.5, Gr = 0.5, ξ = 0.0, and Le = 10

Grahic Jump Location
Fig. 6

Effects of the Rayleigh number Rad and the thermal dispersion coefficient Gr on heat and mass transfer coefficients when Nr = 0.5, Nb = 0.5, Nt = 0.5, Rad = 1, γ = 0.0, and Le = 10

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