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Research Papers: Forced Convection

Flow and Heat Transfer of Jeffrey Fluid Over a Continuously Moving Surface With a Parallel Free Stream

[+] Author and Article Information
T. Hayat1

Department of Mathematics,  Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Department of Mathematics, College of Science, King Saud University, P. O. Box. 2455, Riyadh 11451, Saudi Arabiapensy_t@yahoo.com

Z. Iqbal

Department of Mathematics,  Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

M. Mustafa

Research Centre for Modeling and Simulation (RCMS),  National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

S. Obaidat

Department of Mathematics, College of Science,  King Saud University, P. O. Box. 2455, Riyadh 11451, Saudi Arabia

1

Corresponding author.

J. Heat Transfer 134(1), 011701 (Nov 21, 2011) (7 pages) doi:10.1115/1.4004744 History: Received October 31, 2010; Accepted July 17, 2011; Published November 21, 2011; Online November 21, 2011

This communication studies the flow and heat transfer characteristics over a continuously moving surface in the presence of a free stream velocity. The Jeffrey fluid is treated as a rheological model. The series expressions of velocity and temperature fields are constructed by applying the homotopy analysis method (HAM). The influence of emerging parameters such as local Deborah number (β), the ratio of relaxation and retardation times (λ2 ), the Prandtl number (Pr), and the Eckert number (Ec) on the velocity and temperature profiles are presented in the form of graphical and tabulated results for different values of λ. It is found that the boundary layer thickness is an increasing function of local Deborah number (β). However, the temperature and thermal boundary layer thickness decreases with the increasing values of local Deborah number (β).

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References

Figures

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Figure 1

ℏ-curve for 15th-order of approximation

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Figure 2

Effect of λ on f ′ when β = λ2  = 0.1

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Figure 3

Effect of β on f ′ when λ = 1 and λ2  = 0.1

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Figure 4

Effect of β on f ′ when λ = 0.3 and λ2  = 0.1

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Figure 5

Effect of λ2 on f ′ when λ = 1 and β = 0.1

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Figure 6

Effect of λ2 on f ′ when λ = 0.3 and β = 0.1

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Figure 7

Effect of β on θ when Pr = 1.0 and Ec = 0.5

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Figure 8

Effect of Pr on θ when λ = 1, Ec = 0.5 and λ2  = 0.1

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Figure 9

Effect of Ec on θ when λ = 1.0, Pr = 1.0 and λ2  = 0.1

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Figure 10

Effects of β and λ on (Rex )1/2 Cf

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Figure 11

Effects of β and λ on (Rex )1/2 Nux

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