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Research Papers: Heat Transfer Enhancement

Effects of Magnetic Field on an Unsteady Mixed Convection Flow of Nanofluids Containing Spherical and Cylindrical Nanoparticles

[+] Author and Article Information
Kalidas Das

Department of Mathematics,
A. B. N. Seal College,
Cooch Behar 736101,
West Bengal, India
e-mail: kd_kgec@rediffmail.com

Pinaki Ranjan Duari

Department of Mathematics,
Asansol Engineering College,
Asansol 713305,
West Bengal, India
e-mail: pinakiranjanduari@gmail.com

Prabir Kumar Kundu

Department of Mathematics,
Jadavpur University,
Kolkata 700032,
West Bengal, India,
e-mail: kunduprabir@yahoo.co.in

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 27, 2014; final manuscript received February 18, 2016; published online March 22, 2016. Assoc. Editor: Oronzio Manca.

J. Heat Transfer 138(6), 061901 (Mar 22, 2016) (7 pages) Paper No: HT-14-1045; doi: 10.1115/1.4032835 History: Received January 27, 2014; Revised February 18, 2016

The present article gives a ray of light on the effects of magnetic field on an unsteady mixed convection flow of nanofluids containing nanoparticles which are spherical and cylindrical in nature. The unsteadiness in the flow is mainly caused by time dependent stretching velocity and temperature of the sheet at the surface. The governing transportation equations are first transformed into ordinary differential equations by using similarity transformations and then solved by employing Runga–Kutta–Frelberg method with shooting technique. The influence of various parameters on velocity and temperature profiles as well as wall shear stress and the rate of mass transfer are discussed through graphs and tables. The results for regular fluid (water) from the study are in excellent agreement with the results reported in the literature.

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References

Figures

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Fig. 1

Physical model and coordinate system

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Fig. 2

Velocity profiles for various values of M

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Fig. 3

Variation of skin friction against M for various values of ϕ

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Fig. 4

Variation of skin friction against M for various values of S

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Fig. 5

Temperature profiles for various values of M

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Fig. 6

Variation of Nusselt number against M for various values of ϕ

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Fig. 7

Velocity profiles for various values of ϕ

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Fig. 8

Temperature profiles for various values of ϕ

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Fig. 9

Velocity profiles for various values of S

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Fig. 10

Temperature profiles for various values of S

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Fig. 11

Variation of Nusselt number against M for various values of S

Tables

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