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Research Papers: Flows in Complex Systems

Control of Wake Structure Behind a Square Cylinder by Magnetohydrodynamics

[+] Author and Article Information
S. Rashidi, M. Bovand

Department of Mechanical Engineering,
Ferdowsi University of Mashhad,
Mashhad 91775-1111, Iran

J. A. Esfahani

Department of Mechanical Engineering,
Ferdowsi University of Mashhad,
Mashhad 91775-1111, Iran
e-mail: abolfazl@um.ac.ir

H. F. Öztop

Department of Mechanical
Engineering Technology,
Firat University Elazig,
Elazig 23119, Turkey

R. Masoodi

School of Design and Engineering,
Philadelphia University,
4201 Henry Avenue,
Philadelphia, PA 19144

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 12, 2014; final manuscript received January 20, 2015; published online March 9, 2015. Assoc. Editor: Shizhi Qian.

J. Fluids Eng 137(6), 061102 (Jun 01, 2015) (8 pages) Paper No: FE-14-1580; doi: 10.1115/1.4029633 History: Received October 12, 2014; Revised January 20, 2015; Online March 09, 2015

In this paper, a two-dimensional (2D) numerical simulation has been performed for an unsteady magnetohydrodynamics (MHD) flow around a solid square cylinder placed in a channel. Computational simulations were done for the ranges of Reynolds and Stuart numbers of 1–250 and 0–10, respectively. Finite volume method (FVM) has been used to solve the unsteady Navier–Stokes equations. The effects of streamwise magnetic field on the flow separation and suppress of the vortex shedding are studied in detail for the above ranges. Additionally, four new empirical equations for wake length and Stuart number are suggested. Finally, a comparison is performed between the cases of with and without a channel to study the effect of channel walls. The obtained results revealed that Strouhal number decreases linearly with increasing Stuart number. Also, the flow distribution pattern changes from time-dependent pattern to steady-state by increasing Stuart number.

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Figures

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Fig. 1

Definition of the geometry and computational domain

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Fig. 2

Mesh distribution and subcomputational domains

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Fig. 3

Variation of wake length against Reynolds number

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Fig. 4

Comparison of computed Strouhal number with published literatures

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Fig. 5

Variation of Strouhal number as a function of Stuart number at Re = 100

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Fig. 6

Contours of streamline and vorticity for different Reynolds number (N = 0)

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Fig. 7

Contours of streamline and vorticity at different Stuart number (Re = 100)

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Fig. 8

Variation of critical Stuart number against Reynolds number

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Fig. 9

Variation of disappearance Stuart number against Reynolds number: (a) steady flow and (b) unsteady flow

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Fig. 10

Contour of Lorentz force just after the activation of the magnetic field

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