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Research Papers: Heat and Mass Transfer

Heat Transfer on Nanofluid Flow With Homogeneous–Heterogeneous Reactions and Internal Heat Generation

[+] Author and Article Information
Raj Nandkeolyar, Sachin Shaw

School of Mathematics,
Statistics and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville,
Pietermaritzburg 3209, South Africa

Peri K. Kameswaran

Department of Mathematics,
National Institute of Science and Technology,
Palur Hills,
Berhampur 761008, India
e-mail: perikamesh@gmail.com

Precious Sibanda

School of Mathematics,
Statistics and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville,
Pietermaritzburg 3209, South Africa
e-mail: sibandap@ukzn.ac.za

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 2, 2013; final manuscript received September 12, 2014; published online October 14, 2014. Assoc. Editor: Patrick E. Phelan.

J. Heat Transfer 136(12), 122001 (Oct 14, 2014) (8 pages) Paper No: HT-13-1179; doi: 10.1115/1.4028644 History: Received April 02, 2013; Revised September 12, 2014

We investigated heat and mass transfer on water based nanofluid due to the combined effects of homogeneous–heterogeneous reactions, an external magnetic field and internal heat generation. The flow is generated by the movement of a linearly stretched surface, and the nanofluid contains nanoparticles of copper and gold. Exact solutions of the transformed model equations were obtained in terms of hypergeometric functions. To gain more insights regarding subtle impact of fluid and material parameters on the heat and mass transfer characteristics, and the fluid properties, the equations were further solved numerically using the matlab bvp4c solver. The similarities and differences in the behavior, including the heat and mass transfer characteristics, of the copper–water and gold–water nanofluids with respect to changes in the flow parameters were investigated. Finally, we obtained the numerical values of the skin friction and heat transfer coefficients.

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Figures

Grahic Jump Location
Fig. 1

Effect of magnetic field strength M on species concentration g(η) for k = 1, Sc = 5, Ks = 1, and φ = 0.1

Grahic Jump Location
Fig. 2

Effect of magnetic field strength M on nanofluid velocity f''(η) for φ = 0.1

Grahic Jump Location
Fig. 3

Effect of magnetic field strength M on nanofluid temperature θ(η) for φ = 0.1 and β = 0.1

Grahic Jump Location
Fig. 4

Effect of solid volume fraction φ on species concentration g(η) for k = 1, Sc = 5, Ks = 1, and M = 2

Grahic Jump Location
Fig. 5

Effect of solid volume fraction φ on nanofluid velocity f'(η) for M = 2

Grahic Jump Location
Fig. 6

Effect of solid volume fraction φ on nanofluid temperature θ(η) for M = 2 and β = 0.1

Grahic Jump Location
Fig. 7

Effect of heat generation β on nanofluid temperature θ(η) for φ = 0.1 and M = 2

Grahic Jump Location
Fig. 8

Effect of homogeneous reaction strength k on species concentration g(η) for M = 2, Sc = 5, Ks = 1, and φ = 0.1

Grahic Jump Location
Fig. 9

Effect of heterogeneous reaction strength Ks on species concentration g(η) for M = 2, Sc = 5, k = 1, and φ = 0.1

Grahic Jump Location
Fig. 10

Effect of homogeneous reaction strength k and heterogeneous reaction strength Ks on species concentration at the surface g(0) for M = 2, φ = 0.1, and Sc = 5

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