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.
Issue Section:
Fundamental Issues and Canonical Flows
References
1.
Winkler
, C. M.
, Rani
, S. L.
, and Vanka
, S. P.
, 2004
, “Preferential Concentration of Particles in a Fully Developed Turbulent Square Duct Flow
,” Int. J. Multiphase Flow
, 30
(1
), pp. 27
–50
.10.1016/j.ijmultiphaseflow.2003.11.0032.
Winkler
, C. M.
, Rani
, S. L.
, and Vanka
, S. P.
, 2006
, “Numerical Study of Particle Wall-Deposition in a Turbulent Square Duct Flow
,” Powder Tech.
, 170
(1
), pp. 12
–25
.10.1016/j.powtec.2006.08.0093.
Phares
, D. J.
, and Sharma
, G.
, 2006
, “A DNS Study of Aerosol Deposition in a Turbulent Square Duct Flow
,” Aerosol Sci. Tech.
, 40
(11
), pp. 1016
–1024
.10.1080/027868206009194164.
Phares
, D. J.
, and Sharma
, G.
, 2006
, “Turbulent Transport of Particles in a Straight Square Duct
,” Int. J. Multiphase Flow
, 32
, pp. 823
–837
.10.1016/j.ijmultiphaseflow.2006.02.0105.
Yao
, J.
, and Fairweather
, M.
, 2010
, “Inertial Particle Resuspension in a Turbulent, Square Duct Flow
,” Phys. Fluids
, 22
, p. 033303
.10.1063/1.33360136.
Yao
, J.
, and Fairweather
, M.
, 2012
, “Particle Deposition in Turbulent Duct Flows
,” Chem. Eng. Sci.
, 84
, pp. 781
–800
.10.1016/j.ces.2012.09.0207.
Narayanan
, C.
, and Lakehala
, D.
, 2003
, “Mechanisms of Particle Deposition in a Fully Developed Turbulent Open Channel Flow
,” Phys. Fluids
, 15
(3
), pp. 763
–775
.10.1063/1.15454738.
Elghobashi
, S.
, 1994
, ‘‘On Predicting Particle-Laden Turbulent Flows
,” Appl. Sci. Res.
, 52
, pp. 309
–329
.10.1007/BF009368359.
Kulick
, J.
, Fessler
, J.
, and Eaton
, J.
, 1994
, “Particle Response and Turbulence Modification in Fully Developed Channel Flow
,” J. Fluid Mech.
, 277
, pp. 109
–134
.10.1017/S002211209400270310.
Friedlander
, S. K.
, and Johnstone
, H. F.
, 1957
, “Deposition of Suspended Particles From Turbulent Gas Streams
,” Ind. Eng. Chem.
, 49
(7
), pp. 1151
–1156
.10.1021/ie50571a03911.
Liu
, Y. H.
, and Agarwal
, J. K.
, 1974
, “Experimental Observation of Aerosol Deposition in Turbulent Flow
,” Aerosol Sci.
, 5
, pp. 145
–155
.10.1016/0021-8502(74)90046-912.
McCoy
, D. D.
, and Hanratty
, T. J.
, 1977
, “Rate of Deposition of Droplets in Annular Two-Phase Flow
,” Int. J. Multiphase Flow
, 3
, pp. 319
–331
.10.1016/0301-9322(77)90012-X13.
Germano
, M.
, Piomelli
, U.
, Moin
, P.
, and Cabot
, W. H.
, 1991
, “A Dynamic Subgrid-Scale Eddy Viscosity Model
,” Phys. Fluids
, 3
, pp. 1760
–1765
.10.1063/1.85795514.
Yuan
, Q.
, Thomas
, B. G.
, and Vanka
, S. P.
, 2004
, “Study of Transient Flow and Particle Transport During Continuous Casting of Steel Slabs, Part 1. Fluid Flow
,” Metallurg. Mater. Trans. B
, 35B
(4
), pp. 685
–702
.10.1007/s11663-004-0009-515.
Yuan
, Q.
, Thomas
, B. G.
, and Vanka
, S. P.
, 2004
, “Study of Transient Flow and Particle Transport During Continuous Casting of Steel Slabs, Part 2. Particle Transport
,” Metallurg. Mater. Trans. B
, 35B
(4
), pp. 703
–714
.10.1007/s11663-004-0010-z16.
Chaudhary
, R.
, Thomas
, B. G.
, and Vanka
, S. P.
, 2012
, “Effect of Electromagnetic Ruler Braking (EMBr) on Transient Turbulent Flow in Continuous Slab Casting Using Large Eddy Simulations
,” Metallurg. Mater. Trans. B
, 43B
(3
), pp. 532
–553
.10.1007/s11663-012-9634-617.
Chaudhary
, R.
, Vanka
, S. P.
, and Thomas
, B. G.
, 2010
, “Direct Numerical Simulations of Magnetic Field Effects on Turbulent Flow in a Square Duct
,” Phys. Fluids
, 22
(7
), p. 075102
.10.1063/1.345672418.
Maxey
, M. R.
, and Riley
, J. K.
, 1983
, ‘‘Equation of Motion for a Small Rigid Sphere in a Nonuniform Flow
,” Phys. Fluids
, 26
, pp. 883
–889
.10.1063/1.86423019.
Schiller
, L.
, and Naumann
, Z.
, 1935
, “A Drag Coefficient Correlation
,” Z. Ver. Deutsch. Ing.
, 77
, pp. 318
–320
.20.
Saffman
, P. G.
, 1965
, ‘‘The Lift on a Small Sphere in a Slow Shear Flow
,” J. Fluid Mech.
, 22
, pp. 385
–400
.10.1017/S002211206500082421.
Shinn
, A. F.
, Vanka
, S. P.
, and Hwu
, W. W.
, 2010
, “Direct Numerical Simulation of Turbulent Flow in a Square Duct Using a Graphics Processing Unit GPU
,” 40th AIAA Fluid Dynamics Conference
, Chicago, IL, June 28–July 1, AIAA
Paper No. 2010-5029.10.2514/6.2010-502922.
Adrian
, R. J.
, Christensen
, K. T.
, and Liu
, Z.-C.
, 2000
, “Analysis and Interpretation of Instantaneous Turbulent Velocity Fields
,” Experiments Fluids
, 29
, pp. 275
–290
.10.1007/s00348990008723.
Maxey
, M. R.
, 1987
, “The Gravitational Settling of Aerosol Particles in Homogeneous Turbulence and Random Flow Fields
,” J. Fluid Mech.
, 174
, pp. 441
–465
.10.1017/S002211208700019324.
Brooke
, J. W.
, Hanratty
, T. J.
, and McLaughlin
, J. B.
, 1994
, “Free-Flight Mixing and Deposition of Aerosols
,” Phys. Fluids
, 8
(10
), pp. 3404
–3415
.10.1063/1.868398Copyright © 2014 by ASME
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