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Research Papers

Heat and Mass Transfer Analysis in the Stagnation Region of Maxwell Fluid With Chemical Reaction Over a Stretched Surface

[+] Author and Article Information
Tasawar Hayat

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 45320, Pakistan;
Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
P.O. Box 80257,
Jeddah 21589, Saudi Arabia

Muhammad Ijaz Khan

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 45320, Pakistan
e-mail: mikhan@math.qau.edu.pk

Maria Imtiaz

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 45320, Pakistan
e-mail: mi_qau@yahoo.com

Ahmed Alsaedi

Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
P.O. Box 80257,
Jeddah 21589, Saudi Arabia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received August 22, 2016; final manuscript received January 18, 2017; published online June 27, 2017. Assoc. Editor: Jingchao Zhang.

J. Thermal Sci. Eng. Appl 10(1), 011002 (Jun 27, 2017) (6 pages) Paper No: TSEA-16-1235; doi: 10.1115/1.4036768 History: Received August 22, 2016; Revised January 18, 2017

A simple model of homogeneous–heterogeneous process for Maxwell fluid flow in stagnation region past a stretched surface is constructed. It is assumed that the homogeneous process in the ambient fluid is governing by first-order kinetics and the heterogeneous process on the wall surface is given by isothermal cubic autocatalator kinetics. Flow by stretched surface with homogeneous–heterogeneous processes studied. Present problem is reduced to ordinary differential equations through appropriate transformation. Resulting problems have been solved for convergent solutions. Intervals of convergence for the obtained series solutions are explicitly determined. Behavior of important variables on the physical quantities is analyzed. Velocity is found decreasing function of Deborah number.

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References

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Figures

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Fig. 1

Geometry of flow problem

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Fig. 2

h–curves for f″(0) and θ′(0)

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Fig. 3

h–curve for ϕ′(0)

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Fig. 4

Variation of A on f

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Fig. 5

Variation of β on f

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Fig. 6

Variation of Pr on θ

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Fig. 7

Variation of γ on θ

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Fig. 8

Variation of Sc on g

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Fig. 9

Variation of K on g

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Fig. 10

Variation of Ks on g

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Fig. 11

Impacts of Sc and A on NuxRex−1/2

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