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Research Papers: Forced Convection

Numerical Investigation of the Transient Hydrothermal Behavior of a Ferrofluid Flowing Through a Helical Duct in the Presence of Nonuniform Magnetic Field

[+] Author and Article Information
Habib Aminfar

Faculty of Mechanical Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: hh_aminfar@tabrizu.ac.ir

Mousa Mohammadpourfard

Department of Mechanical Engineering,
Azarbaijan Shahid Madani University,
Tabriz 5375171379, Iran
e-mail: Mohammadpour@azaruniv.edu

Sajjad Ahangar Zonouzi

Faculty of Mechanical Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
Department of Mechanical Engineering,
Razi University,
Kermanshah 5155856865, Iran
e-mail: sajjadahangar@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 22, 2013; final manuscript received December 17, 2013; published online March 10, 2014. Assoc. Editor: Ali Khounsary.

J. Heat Transfer 136(6), 061702 (Mar 10, 2014) (12 pages) Paper No: HT-13-1094; doi: 10.1115/1.4026487 History: Received February 22, 2013; Revised December 17, 2013

This paper investigates numerically the time dependent hydrothermal behavior of a ferrofluid (water and 4 vol. % Fe3O4) flowing in a helical channel, which is exposed to a nonuniform transverse magnetic field and its walls are subjected to uniform heat flux. The two phase mixture model and control volume technique have been used to study the flow. The results show that applying the nonuniform transverse magnetic field considerably increases the velocity and flow rate in the vicinity of the channel walls while it significantly decreases the velocity at the center of the channel. Applying magnetic field also decreases considerably the temperature of the inner wall of the helical channel. Furthermore, the average Nusselt number is increased by applying the nonuniform transverse magnetic field and it is more enhanced by increasing the magnetic field intensity.

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Figures

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Fig. 1

Schematic geometry of physical model, (a) studied helical channel, (b) the used coordinate system, (c) the position of the wire of electric current, and (d) grid

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Fig. 2

Comparison of the Nusselt number along a horizontal tube with the experimental results

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Fig. 3

Dimensionless axial velocity for Re = 150 and Z/a = 20: (a) Mn = 0, t = 3 s, (b) Mn = 1.4 × 106, t = 3 s, (c) Mn = 0, t = 4.8 s, (d) Mn = 1.4 × 106, t = 4.8 s, (e) Mn = 0, t = 14.4 s, and (f) Mn = 1.4 × 106, t = 14.4 s

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Fig. 4

Effects of the applying nonuniform transverse magnetic field with different intensities on the dimensionless axial velocity for Re = 150 and Z/a = 20 at t = 4.8 s: (a) Mn = 0, (b) Mn=6×105, and (c) Mn=1.4×106

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Fig. 5

Effect of applying magnetic field on the dimensionless temperature of the inner edge of the plane Z/a = 20: (a) t = 3.6 s, (b) t = 4.8 s, and (c) t = 14.4 s

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Fig. 6

Effect of applying magnetic field on the dimensionless temperature of the outer edge of the plane Z/a = 20: (a) t = 3.6 s, (b) t = 4.8 s, and (c) t = 14.4 s

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Fig. 7

Effect of applying magnetic field on the dimensionless temperature of the upper edge of the plane Z/a = 20: (a) t = 3.6 s, (b) t = 4.8 s, and (c) t = 14.4 s

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Fig. 8

Effect of applying magnetic field on the dimensionless temperature of the lower edge of the plane Z/a = 20: (a) t = 3.6 s, (b) t = 4.8 s, and (c) t = 14.4 s

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Fig. 9

Effect of applying nonuniform transverse magnetic field with different intensities on the average Nusselt number

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Fig. 10

Effect of applying nonuniform transverse magnetic field on the streamlines of the transverse plane at Z/a = 20 for Re = 150: (a) Mn = 0, t = 4.8 s, (b) Mn = 1.4 × 106, t = 4.8 s, (c) Mn = 0, t = 14.4 s, and (d) Mn = 1.4 × 106, t = 14.4 s

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Fig. 11

Effect of applying nonuniform transverse magnetic field on the temperature profile of the transverse plane at Z/a = 20 for Re = 150: (a) Mn = 0, t = 4.8 s, (b) Mn = 1.4 × 106, t = 4.8 s, (c) Mn = 0, t = 14.4 s, and (d) Mn = 1.4 × 106, t = 14.4 s

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Fig. 12

Effect of applying magnetic field on the friction factor in the inner edge of the plane Z/a = 20: (a) t = 4.8 s and (b) t = 14.4 s

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Fig. 13

Effect of applying magnetic field on the friction factor in the outer edge of the plane Z/a = 20: (a) t = 4.8 s and (b) t = 14.4 s

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Fig. 14

Effect of applying magnetic field on the friction factor in the upper edge of the plane Z/a = 20: (a) t = 4.8 s and (b) t = 14.4 s

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Fig. 15

Effect of applying magnetic field on the friction factor in the lower edge of the plane Z/a = 20: (a) t = 4.8 s and (b) t = 14.4 s

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Fig. 16

Effect of applying nonuniform transverse magnetic field on the friction factor along the channel length

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