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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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Figures

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. 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. 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. 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. 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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