Abstract
A numerical model based on the Discrete Element Method (DEM) is developed to study the packing of fine particles in an electrical field related to the dust collection in an electrostatic precipitator (ESP). The particles are deposited to form a dust cake mainly under the electrical and van der Waals forces. It is shown that for the packing formed by mono-sized charged particles, increasing either particle size or applied electrical field strength increases packing density until reaching a limit corresponding to the density of random loose packing obtained under gravity. The corresponding structural changes are analyzed in terms of coordination number, radial distribution function and other topological and metric properties generated from the Voronoi tessellation. It is shown that these properties are similar to those for the packing under gravity. Such structural similarities result from the similar changes in the competition of the cohesive forces and the driving force in the packing. In particular, it is shown that by replacing the gravity with the electrical field force, the previous correlation between packing density and the ratio of the cohesive force to the packing-driven force can be applied to the packing of fine particles in ESP.
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References
Parker, K.R.: Applied Electrostatic Precipitation. Springer, Berlin (1997)
Jaworek, A., Krupa, A., Czech, T.: Modern electrostatic devices and methods for exhaust gas cleaning: A brief review. J. Electrost. 65(3), 133–155 (2007). doi:10.1016/j.elstat.2006.07.012
Blanchard, D., Atten, P., Dumitran, L.M.: Correlation between current density and layer structure for fine particle deposition in a laboratory electrostatic precipitator. IEEE Trans. Ind. Appl. 38(3), 832–839 (2002)
Neimarlija, N., Demirdzic, I., Muzaferija, S.: Finite volume method for calculation of electrostatic fields in electrostatic precipitators. J. Electrost. 67(1), 37–47 (2009)
Kim, S.H., Lee, K.W.: Experimental study of electrostatic precipitator performance and comparison with existing theoretical prediction models. J. Electrost. 48(1), 3–25 (1999)
McLEAN, K., Kahane, R.: Electrical Performance Diagram for a Pilot Scale Electrostatic Precipitator. p. 207. Butterworth-Heinemann (1978)
Ferge, T., Maguhn, J., Felber, H., Zimmermann, R.: Particle collection efficiency and particle re-entrainment of an electrostatic precipitator in a sewage sludge incineration plant. Environ. Sci. Technol 38(5), 1545–1553 (2004)
Barranco, R., Gong, M., Thompson, A., Cloke, M., Hanson, S., Gibb, W., Lester, E.: The impact of fly ash resistivity and carbon content on electrostatic precipitator performance. Fuel 86(16), 2521–2527 (2007). doi:10.1016/j.fuel.2007.02.022
Jedrusik, M., Swierczok, A.: The influence of fly ash physical and chemical properties on electrostatic precipitation process. J. Electrost. 67(2–3), 105–109 (2009). doi:10.1016/j.elstat.2008.12.014
Soldati, A., Casal, M., Andreussi, P., Banerjee, S.: Lagrangian simulation of turbulent particle dispersion in electrostatic precipitators. Aiche J. 43(6), 1403–1413 (1997). doi:10.1002/aic.690430604
Fujishima, H., Morita, Y., Okubo, M., Yamamoto, T.: Numerical simulation of three-dimensional electrohydrodynamics of spiked-electrode electrostatic precipitators. Dielectr. Electr. Insul. IEEE Trans. 13(1), 160–167 (2006)
Farnoosh, N., Adamiak, K., Castle, G.S.P.: 3-D numerical analysis of EHD turbulent flow and mono-disperse charged particle transport and collection in a wire-plate ESP. J. Electrost. 68(6), 513–522 (2010). doi:10.1016/j.elstat.2010.07.002
Zhu, H.P., Zhou, Z.Y., Yang, R.Y., Yu, A.B.: Discrete particle simulation of particulate systems: theoretical developments. Chem. Eng. Sci. 62(13), 3378–3396 (2007). doi:10.1016/j.ces.2006.12.089
Zhu, H., Zhou, Z., Yang, R., Yu, A.: Discrete particle simulation of particulate systems: a review of major applications and findings. Chem. Eng. Sci. 63(23), 5728–5770 (2008)
Latham, J.P., Munjiza, A.: The modelling of particle systems with real shapes. Philosophical Transactions of the Royal Society of London. Ser. A Math. Phys. Eng. Sci. 362(1822), 1953 (2004)
Dong, K.J., Zou, R.P., Yang, R.Y., Yu, A.B., Roach, G.: DEM simulation of cake formation in sedimentation and filtration. Miner. Eng. 22(11), 921–930 (2009). doi:10.1016/j.mineng.2009.03.018
Cundall, P., Strack, O.: A discrete numerical model for granular assemblies. In: DAMES AND MOORE LONDON (ENGLAND) (1979)
Dong, K.J., Yang, R.Y., Zou, R.P., Yu, A.B.: Settling of particles in liquids: effects of material properties. AIChE J. 58(5), 1409–1421 (2012). doi:10.1002/aic.12682
Brilliantov, N.V., Spahn, F., Hertzsch, J.-M., ouml, schel, T.: Model for collisions in granular gases. Phys. Rev. E 53(5), 5382 (1996)
Schwager, T., Pöschel, T.: Coefficient of normal restitution of viscous particles and cooling rate of granular gases. Phys. Rev. E 57(1), 650–654 (1998)
Langston, P.A., Tüzün, U., Heyes, D.M.: Discrete element simulation of granular flow in 2D and 3D hoppers: dependence of discharge rate and wall stress on particle interactions. Chem. Eng. Sci. 50(6), 967–987 (1995). doi:10.1016/0009-2509(94)00467-6
Mindlin, R.D., Deresiewicz, H.: Elastic spheres in contact under varying oblique forces. J. Appl. Mech. Trans. ASME 20(3), 327–344 (1953)
Israelachvili, J.N.: Intermolecular and Surface Forces: Revised Third edition. Academic press, Waltham (2011)
White, H.J.: Particle charging in electrostatic precipitation. Am. Inst. Electr. Eng. Trans. 70(2), 1186–1191 (1951)
Jones, T.B.: Electromechanics of Particles. Cambridge University Press, Cambridge (1995)
Ghadiri, M., Martin, C.M., Arteaga, P.A., Tüzün, U., Formisani, B.: Evaluation of the single contact electrical clamping force. Chem. Eng. Sci. 61(7), 2290–2300 (2006)
McLean, K.J.: Cohesion of precipitated dust layer in electrostatic precipitators. J. Air Pollut. Control Assoc. 27(11), 1100–1103 (1977)
Zhu, J.B., Zhang, X.M., Hu, H.W., Yan, K.P.: Characteristics of collected dust layer in a laboratory electrostatic precipitator. Rev. Sci. Technol. 26(9), 30–33 (2008)
Riehle, C.: Basic and theoretical operation of ESPs. In: Parker, K. (ed.) Applied Electrostatic Precipitation. Springer, Berlin (1997)
Dong, K.J., Yang, R.Y., Zou, R.P., Yu, A.B.: Role of interparticle forces in the formation of random loose packing. Phys. Rev. Lett. 96(14), 145505 (2006)
Miller, J., Schmid, H.j., Schmidt, E., Schwab, A.J.: Local deposition of particles in a laboratory scale electrostatic precipitator with barbed discharge electrodes. In: Sixth International Conference on Electrostatic Precipitation, pp. 325–334. Budapest (1996)
Yang, R.Y., Zou, R.P., Yu, A.B.: Computer simulation of the packing of fine particles. Phys. Rev. E 62(3), 3900 (2000)
Batchelor, G.K., O’Brien, R.W.: Thermal or electrical conduction through a granular material. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 355(1682), 313–333 (1977)
Zhou, Z., Yu, A., Zulli, P.: Particle scale study of heat transfer in packed and bubbling fluidized beds. Aiche J. 55(4), 868–884 (2009)
Finney, J.L.: Random packings and the structure of simple liquids. I. The geometry of random close packing. Proc. R. Soc. Lond. A Math. Phys. Sci. 319(1539), 479–493 (1970). doi:10.1098/rspa.1970.0189
Xu, J., Zou, R., Yu, A.: Analysis of the packing structure of wet spheres by Voronoi–Delaunay tessellation. Granul. Matt. 9(6), 455–463 (2007). doi:10.1007/s10035-007-0052-4
Yang, R.Y., Zou, R.P., Yu, A.B.: Voronoi tessellation of the packing of fine uniform spheres. Phys. Revi. E 65(4), 041302 (2002)
Yang, R.Y., Zou, R.P., Yu, A.B.: Effect of material properties on the packing of fine particles. J. Appl. Phys. 94(5), 3025–3034 (2003)
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The authors acknowledge that this work is financially sponsored by Australian Research Council and Fujian Longking Co. Ltd.
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Yang, S., Dong, K., Zou, R. et al. Packing of fine particles in an electrical field. Granular Matter 15, 467–476 (2013). https://doi.org/10.1007/s10035-013-0410-3
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DOI: https://doi.org/10.1007/s10035-013-0410-3