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Research Papers

Effect of Viscous Dissipation, Internal Heat Source/Sink, and Thermal Radiation on a Hydromagnetic Liquid Film Over an Unsteady Stretching Sheet

[+] Author and Article Information
I-Chung Liu

e-mail: icliu@ncnu.edu.tw

Hung-Hsun Wang

Department of Civil Engineering,
National Chi Nan University,
Nantou, Taiwan 545, ROC

Jawali C. Umavathi

Department of Mathematics,
Gulbarga University,
Gulbarga 585106, Karnataka, India

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received August 6, 2011; final manuscript received September 19, 2012; published online February 8, 2013. Assoc. Editor: Sujoy Kumar Saha.

J. Heat Transfer 135(3), 031701 (Feb 08, 2013) (6 pages) Paper No: HT-11-1382; doi: 10.1115/1.4007818 History: Received August 06, 2011; Revised September 19, 2012

In this study, the effect of magnetic field, viscous dissipation, nonuniform heat source, and/or sink and thermal radiation on flow and heat transfer in a hydromagnetic liquid film over an unsteady stretching sheet with prescribed heat flux condition is investigated. The governing equations are transformed into a set of ordinary differential equations with six free parameters by using a similarity transformation before being solved numerically. The temperature profiles depending on the governing parameters are displayed in graphical form and the relevant thermal characteristics are depicted in tabular representation. It is found that the dimensionless temperature profile, sheet temperature, and free surface temperature, with a specific unsteadiness parameter, are enhanced as the increase in magnetic parameter, Eckert number, space- and temperature-dependent parameters, and they are reduced for increasing effective Prandtl number.

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References

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Figures

Grahic Jump Location
Fig. 1

Schematic configuration and coordinates system

Grahic Jump Location
Fig. 2

The variation of −f ″(0) versus S for values of M

Grahic Jump Location
Fig. 3

Temperature profiles θ(η) for various values of M: (a) S = 0.8 and (b) S = 1.2 with Peff = 1, Ec = 0.05, A = 0.05, and B = 0.05

Grahic Jump Location
Fig. 4

Temperature profiles θ for various values of Peff: (a) S = 0.8 and (b) S = 1.2 with M = 0.5, Ec = 0.05, A = 0.05, and B = 0.05

Grahic Jump Location
Fig. 5

Temperature profiles θ for various values of Ec: (a) Peff = 1 and (b) Peff = 10 with S = 0.8, M = 0.5, A = 0.05, and B = 0.05

Grahic Jump Location
Fig. 6

Temperature profiles θ for various values of A with S = 0.8, Peff = 1, M = 0.5, Ec = 0.05, and B = 0.05

Grahic Jump Location
Fig. 7

Temperature profiles θ for various values of B with S = 0.8, Peff = 1, M = 0.5, Ec = 0.05, and A = 0.05

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