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Research Papers

Maxwell Fluids Unsteady Mixed Flow and Radiation Heat Transfer Over a Stretching Permeable Plate With Boundary Slip and Nonuniform Heat Source/Sink

[+] Author and Article Information
Liancun Zheng

e-mail: liancunzheng@ustb.edu.cn

Ning Liu

School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China

Xinxin Zhang

School of Mechanical Engineering,
University of Science and Technology Beijing,
Beijing 100083, China

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received March 2, 2012; final manuscript received August 19, 2012; published online February 11, 2013. Assoc. Editor: Robert D. Tzou.

J. Heat Transfer 135(3), 031705 (Feb 11, 2013) (6 pages) Paper No: HT-12-1079; doi: 10.1115/1.4007891 History: Received March 02, 2012; Revised August 19, 2012

This paper presents an analysis for the unsteady mixed boundary-layer flow and radiation heat transfer of generalized Maxwell fluids toward an unsteady stretching permeable surface in presence of boundary slip and nonuniform heat source/sink. The governing partial differential equations are converted into nonlinear ordinary differential equations and analytical approximations of solutions are derived by homotopy analysis method (HAM). The effects of the unsteadiness parameter, nonuniform heat source/sink parameter, suction/injection parameter, thermal radiation parameter and slip parameter on the fluid flow, and heat transfer characteristics are shown graphically and analyzed.

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References

Figures

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Fig. 1

The h-curves of f ″(0) for the eighth-order approximation

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Fig. 2

Effects of M on the velocity f′ at α = 0.8, R = 1, A = B = −0.5, γ = 0.1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 3

Effects of γ on the velocity f′ at M = 0.7, R = 1, A = B = −0.5, α = 0.8, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 4

Effects of S on the velocity f′ at M = 0.7, R = 1, A = B = −0.5, α = 0.8, δ = 0.05, γ = 0.1, Pr = 0.7

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Fig. 5

Effects of M on the temperature θ(η) at α = 0.8, R = 1, A = B = −0.5, λ = 0.1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 6

Effects of A on the temperature θ(η) at M = 0.7, R = 1, α = 0.8, B = −0.5, γ = 0.1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 7

Effects of B on the temperature θ(η) at M = 0.7, R = 1, α = 0.8, A = −0.5, γ = 0.1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 8

Effects of R on the temperature θ(η) at M = 0.7, α = 0.8, A = B = −0.5, γ = 0.1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 9

Effects of γ on the temperature θ(η) at M = 0.7, α = 0.8, A = B = −0.5, R = 1, δ = 0.05, S = 0.1, Pr = 0.7

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Fig. 10

Effects of δ on the temperature θ(η) at M = 0.7, α = 0.8, A = B = −0.5, γ = 0.1, R = 1, S = 0.1, Pr = 0.7

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