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Research Papers: Radiative Heat Transfer

Effect of Induced Magnetic Field on Magnetohydrodynamic Stagnation Point Flow and Heat Transfer on a Stretching Sheet

[+] Author and Article Information
A. Sinha

School of Medical Science and Technology,
Indian Institute of Technology,
Kharagpur 721302, India

J. C. Misra

Department of Mathematics,
Institute of Technical Education and Research,
Siksha O Anusandhan University,
Bhubaneswar 751030, India
e-mail: misrajc@rediffmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received December 5, 2011; final manuscript received April 22, 2013; published online August 18, 2014. Assoc. Editor: Alfonso Ortega.

J. Heat Transfer 136(11), 112701 (Aug 18, 2014) (11 pages) Paper No: HT-11-1549; doi: 10.1115/1.4024666 History: Received December 05, 2011; Revised April 22, 2013

In this paper, the steady magnetohydrodynamic (MHD) stagnation point flow of an incompressible viscous electrically conducting fluid over a stretching sheet has been investigated. Velocity and thermal slip conditions have been incorporated in the study. The effects of induced magnetic field and thermal radiation have also been duly taken into account. The nonlinear partial differential equations arising out of the mathematical analysis of the problem are transformed into a system of nonlinear ordinary differential equations by using similarity transformation and boundary layer approximation. These equations are solved by developing an appropriate numerical method. Considering an illustrative example, numerical results are obtained for velocity, temperature, skin friction, and Nusselt number by considering a chosen set of values of various parameters involved in the study. The results are presented graphically/in tabular form.

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References

Figures

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Fig. 1

Physical sketch of the problem

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Fig. 2

Nature of velocity distribution for different values of β with λ = 1.0,Sf = 0.25, and a/c = 2.5

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Fig. 3

Variation of induced magnetic field in x-direction for different values of β with λ = 1.0,Sf = 0.25, and a/c = 2.5

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Fig. 4

Temperature distribution for different values of β, when λ = 1.0,Sf = 0.25, a/c = 2.5, Pr = 0.72, Nr = 2.0, and St = 1.0

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Fig. 5

Velocity distribution for different values of a/c, if λ = 1.0,Sf = 0.25, and β = 0.5

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Fig. 9

Variation of induced magnetic field in x-direction for different values of Sf if λ = 1.0, a/c = 2.5, and β = 0.5

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Fig. 10

Temperature distribution for different values of Pr, when λ = 1.0,Sf = 0.25,β = 0.5, a/c = 2.5, Nr = 2.0, and St = 1.0

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Fig. 11

Temperature distribution for different values of Nr, if λ = 1.0,Sf = 0.25,β = 0.5, a/c = 2.5, Pr = 0.72, and St = 1.0

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Fig. 6

Variation of the induced magnetic field in x-direction for different values of a/c, when λ = 1.0,Sf = 0.25, and β = 0.5

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Fig. 7

Temperature distribution for different values of a/c, if λ = 1.0,Sf = 0.25,β = 0.5, Pr = 0.72, Nr = 2.0, and St = 1.0

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Fig. 8

Velocity distribution for different values of Sf when λ = 1.0, a/c = 2.5, and β = 0.5

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Fig. 12

Temperature distribution for different values of St, when λ = 1.0,Sf = 0.25,β = 0.5, a/c = 2.5, Pr = 0.72, and Nr = 2.0

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Fig. 13

Variation of skin-friction with β for different values of λ, when a/c = 2.5 and Sf = 0.25

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Fig. 14

Axial velocity distribution in the absence of induced magnetic field and velocity slip (when a/c = 0). (Comparison of the results of the present study with the analytical solution of Crane [4].)

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Fig. 15

Comparison of velocity distribution between the results of the present study with those of Ali et al. [33]

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