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Research Papers

Double Stratification in Flow by Curved Stretching Sheet With Thermal Radiation and Joule Heating

[+] Author and Article Information
Tasawar Hayat

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 44000, Pakistan;
Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

Sumaira Qayyum

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 44000, Pakistan

Maria Imtiaz

Department of Mathematics,
University of Wah,
Wah Cantt 47040, 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,
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 January 7, 2017; final manuscript received July 5, 2017; published online October 10, 2017. Assoc. Editor: Srinath V. Ekkad.

J. Thermal Sci. Eng. Appl 10(2), 021010 (Oct 10, 2017) (9 pages) Paper No: TSEA-17-1005; doi: 10.1115/1.4037774 History: Received January 07, 2017; Revised July 05, 2017

Magnetohydrodynamic (MHD) flow of viscous fluid by curved stretching surface is presented in this paper. Heat and mass transfer analysis is studied with double stratification and thermal radiation effects. Joule heating is also taken into consideration. Basic equations of flow problem are obtained using curvilinear coordinates. The partial differential equations are reduced to the nonlinear ordinary differential equations using suitable transformations. Graphical results are shown and analyzed for the effect of different parameters on fluid characteristics. It is noted that thermal and solutal stratification parameters have opposite effect on temperature and concentration distributions. Magnitude of pressure, skin friction coefficient, and Nusselt number decreases for larger curvature parameter.

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References

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Figures

Grahic Jump Location
Fig. 1

Geometry of the problem

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Fig. 2

ℏf-curve for f″(0)

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Fig. 3

ℏθ-curve for θ′(0)

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Fig. 4

ℏϕ-curve for ϕ(0)

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Fig. 5

Behavior of M on f′(ζ)

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Fig. 6

Behavior of K on f′(ζ)

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Fig. 7

Behavior of Pr on θ(ζ)

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Fig. 8

Behavior of S on θ(ζ)

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Fig. 9

Behavior of R on θ(ζ)

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Fig. 10

Behavior of Ec on θ(ζ)

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Fig. 11

Behavior of M on θ(ζ)

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Fig. 12

Behavior of K on θ(ζ)

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Fig. 13

Behavior of Z on ϕ(ζ)

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Fig. 14

Behavior of Sc on ϕ(ζ)

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Fig. 15

Behavior of M on ϕ(ζ)

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Fig. 16

Behavior of K on ϕ(ζ)

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Fig. 17

Behavior of M on P(ζ)

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Fig. 18

Behavior of K on P(ζ)

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Fig. 19

Behavior of K on Cfs Re0.5

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Fig. 20

Behavior of Pr on −(1+R)θ′(0)

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Fig. 21

Behavior of S on −(1+R)θ′(0)

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Fig. 22

Behavior of Ec on −(1+R)θ′(0)

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Fig. 23

Behavior of K on −(1+R)θ′(0)

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