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Research Papers

Numerical Study of Unsteady Jeffery Fluid Flow With Magnetic Field Effect and Variable Fluid Properties

[+] Author and Article Information
Fazle Mabood

Department of Mathematics,
University of Peshawar,
Peshawar 25120, Pakistan
e-mail: mabood1971@yahoo.com

Reda G. Abdel-Rahman

Department of Mathematics,
Faculty of Science, Benha University,
Benha 13518, Egypt
e-mail: redakhaled2004@yahoo.com

Giulio Lorenzini

Department of Industrial Engineering,
University of Parma,
Parma 43124, Italy
e-mail: gl29672@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received November 27, 2015; final manuscript received February 17, 2016; published online June 22, 2016. Assoc. Editor: Ali J. Chamkha.

J. Thermal Sci. Eng. Appl 8(4), 041003 (Jun 22, 2016) (9 pages) Paper No: TSEA-15-1341; doi: 10.1115/1.4033013 History: Received November 27, 2015; Revised February 17, 2016

A mathematical model has been constructed for determining the effects of variable viscosity and thermal conductivity on unsteady Jeffery flow over a stretching sheet in the presence of magnetic field and heat generation. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations and then solved numerically by using the Runge–Kutta–Fehlberg method with shooting technique. A critical analysis with earlier published papers is done and the results are found to be in accordance with each other. Numerical solutions are then obtained and investigated in detail for different physical parameters such as skin-friction coefficient and reduced Nusselt number as well as other parametric values such as the velocity and temperature.

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Figures

Grahic Jump Location
Fig. 1

Physical model and coordinate system

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Fig. 2

Effect of fw on dimensionless velocity

Grahic Jump Location
Fig. 3

Effect of De and λ on dimensionless velocity

Grahic Jump Location
Fig. 4

Effect of α and s on dimensionless velocity

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Fig. 5

Effect of M and ε on dimensionless velocity

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Fig. 6

Effect of fw on dimensionless temperature

Grahic Jump Location
Fig. 7

Effect of De and λ on dimensionless temperature

Grahic Jump Location
Fig. 8

Effect of α and s on dimensionless temperature

Grahic Jump Location
Fig. 9

Effect of M and Pr on dimensionless temperature

Grahic Jump Location
Fig. 10

Effect of γ and ε on dimensionless temperature

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Fig. 11

Variation of skin friction against M, fw and α

Grahic Jump Location
Fig. 12

Variation of Nusselt number against M,  fw,  α,  Pr,  ε, and  γ

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