Modeling of the flow velocity fields for the electrohydrodynamic (EHD) flow in a wire-to-plate type electrostatic precipitator (ESP) was achieved. Solutions of the steady, two-dimensional Navier-Stokes equations have been computed. The equations were solved in the conservative finite-difference form on a fine uniform rectilinear grid of sufficient resolution to accurately capture the momentum boundary layers. The numerical procedure for differential equations was used by SIMPLEST [Michel, 2002], a derivative of Patankar’s SIMPLE algorithm, to bring rapid convergence. The Phoenics (Version 3.5.1) CFD code, coupled with Poisson’s and ion transport equations and electric body force in the momentum equation, developed in this study, was used for the numerical simulation. From calculations for the flow employing different flow models, the Chen-Kim k.ε turbulent model appeared to be the most appropriate choice to obtain a quantitative image of the resulting mean flow field and downstream wake flow of the rear wire, although this was obtained from a qualitative analysis due to the lack of experimental verification. The flow velocity field pattern showed a strong EHD secondary flow, which was clearly visible in the downstream regions of the corona wire despite the low Reynolds number for the electrode (ReCW=12.4). Secondary flow vortices were also caused by the EHD with increases in the discharge current.

EHD ESP Chen-Kim Model Modeling Von-Karman Vortex

Ahn YC, Cho JM, Kim GT, Cha SR, Lee JK, Park YO, Kim SD, Lee SH, Korean J. Chem. Eng., 21(1), 182 (2004)
Chang JS, Brocilo D, Urashima K, Dekowski J, Podlinski J, Mizeraczyk J, Touchard G, On-set of EHD turbulence for cylinder in cross flow under corona discharges, Proceedings of the 5th International EHD workshop, 30-31 August, Poitiers, France, 26-31 (2004)
Chang JS, McLinden CA, Berezin AA, Looy PC, Kaneda T, Report of School of Engineering, 44, 1 (1996)
Chang JS, Pontiga F, Kwan ALC, Kaneda T, Report of School of Engineering, 45, 11 (1997)
Choi BS, Fletcher CAJ, J. Electrost., 40(41), 413 (1997) 
IEEE-DEIS-EHD Technical Committee, “Recommended international standard for dimensionless parameters used in electrohydrodynamics,” IEEE Transactions on Dielectrics and Electrical Insulation, 10(1), 3-6, February (2003)
Launder BE, Spalding DB, Comput. Meth. Appl. Mech. Eng., 3, 269 (1974) 
Liang WJ, Lin TH, Aerosol Sci. Technol., 20, 330 (1994)
Michel F, New Features of MIGAL solver, in Proceedings of the 9th International PHOENICS User Conference, Moscow, Russia, 23-27 (2002)
Mizeraczyk J, Kocik M, Dekowski J, Dors M, Podlinski J, Ohkubo T, Kanazawa S, Kawasaki T, J. Electrost., 51(52), 272 (2001) 
Monson DJ, Seegmiller HL, McConnaughey PK, Chen YS, Comparison of experimental with calculations using curvature-corrected zero and two-equation turbulence models for a two-dimension U-duct, AIAA-90-1484 (1990)
Park HS, Park YO, Korean J. Chem. Eng., 22(2), 303 (2005)
Park SJ, Kim SS, Aerosol Sci. Technol., 33, 205 (2000) 
Patel VC, Rodi W, Scheurer G, AIAA J., 23(9), 1308 (1985)
Riehle C, Loffler F, J. Electrost., 34, 401 (1995) 
Schemid HJ, Stolz S, Buggisch H, Turbulence and Combustion, 68, 63 (2002) 
Yakhot V, Orszag SA, J. Sci. Comput., 1, 3 (1986) 
Yamamoto T, Velkoff HR, J. Fluid Mech., 108, 1 (1981) 
Yap C, Turbulent heat and momentum transfer in recirculating and impinging flows, PhD Thesis, Faculty of Technology, University of Manchester (1987)