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Research Papers: Fundamental Issues and Canonical Flows

Particle Transport and Deposition in a Turbulent Square Duct Flow With an Imposed Magnetic Field

[+] Author and Article Information
Rui Liu

Department of Mechanical Science
and Engineering,
University of Illinois at Urbana-Champaign,
1206 W. Green Street,
Urbana, IL 61801
e-mail: ruiliu1@illinois.edu

Surya P. Vanka

Fellow ASME
Professor,
Department of Mechanical Science
and Engineering,
University of Illinois at Urbana-Champaign,
1206 W. Green Street,
Urbana, IL 61801
e-mail: spvanka@illinois.edu

Brian G. Thomas

Professor,
Department of Mechanical Science
and Engineering,
University of Illinois at Urbana-Champaign,
1206 W. Green Street,
Urbana, IL 61801
e-mail: bgthomas@illinois.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 19, 2013; final manuscript received May 5, 2014; published online September 10, 2014. Assoc. Editor: Zhongquan Charlie Zheng.

J. Fluids Eng 136(12), 121201 (Sep 10, 2014) (12 pages) Paper No: FE-13-1566; doi: 10.1115/1.4027624 History: Received September 19, 2013; Revised May 05, 2014

In this paper, we study particle transport and deposition in a turbulent square duct flow with an imposed magnetic field using direct numerical simulations (DNS) of the continuous flow and Lagrangian tracking of particles. The magnetic field and the velocity induce a current and the interaction of this current with the magnetic field generates a Lorentz force that brakes the flow and modifies the flow structure. A second-order accurate finite volume method is used to integrate the coupled Navier–Stokes and magnetohydrodynamic (MHD) equations and the solution procedure is implemented on a graphics processing unit (GPU). Magnetically nonconducting particles of different Stokes numbers are continuously injected at random locations in the inlet cross section of the duct and their rates of deposition on the duct walls are studied with and without a magnetic field. Because of the modified instantaneous turbulent flow structures as a result of the magnetic field, the deposition rates and patterns on the walls perpendicular to the magnetic field are lower than those on the walls parallel to the magnetic field.

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References

Figures

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Fig. 1

Schematic of computational domain

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Fig. 2

Velocity profiles along horizontal and vertical bisectors in MHD duct flow

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Fig. 3

Instantaneous velocity field in a cross-sectional plane (a) non-MHD case and (b) MHD case

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Fig. 4

Time-averaged velocity field in a cross-sectional plane (a) non-MHD case and (b) MHD case

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Fig. 5

Instantaneous particle positions in a cross-sectional plane (a) non-MHD case, (St = 5), (b) MHD case, (St = 5), (c) non-MHD case, (St = 15), and (d) MHD case, (St = 15)

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Fig. 6

Preferential particle concentration in a cross-sectional plane (a) non-MHD case, St = 5, (b) MHD case, St = 5, (c) non-MHD case, St = 15, and (d) MHD case, St = 15

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Fig. 7

Instantaneous streamwise velocity contours with particle positions for St = 5 (a) non-MHD case, at z+= 5, (b) MHD case, at z+= 5, and (c) MHD case, at y+= 5

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Fig. 8

Instantaneous streamwise velocity contours with particle positions for St = 15 (a) non-MHD case, at z+= 5, (b) MHD case, at z+= 5, and (c) MHD case, at y+= 5

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Fig. 9

Probability distribution function of particle deposition location along streamwise direction

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Fig. 10

Probability distribution function of particle deposition location along spanwise and transverse directions (a) pdf on walls parallel to magnetic field and (b) pdf on walls perpendicular to magnetic field

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Fig. 11

Comparison of particle deposition pdf for two particle releasing approaches

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Fig. 12

Particle deposition locations on walls parallel to the magnetic field (St = 5) (a) non-MHD case and (b) MHD case

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Fig. 13

Particle deposition locations on walls perpendicular to the magnetic field (St = 5) (a) non-MHD case and (b) MHD case

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Fig. 14

Wall-normal velocity distribution of depositing particles (a) non-MHD case, (b) MHD case, on walls perpendicular to magnetic field, and (c) MHD case, on walls parallel to magnetic field

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Fig. 15

Streamwise velocity distribution of depositing particles (a) non-MHD case, (b) MHD case, on walls perpendicular to magnetic field, and (c) MHD case, on walls parallel to magnetic field

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Fig. 16

Dimensionless particle deposition rates

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