The effect of electric-field-induced alignment on the electrical mobility of fractal aggregates

References

• Bhatnagar, P. L., Gross, E. P., and Krook, M. (1954). A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems. Phys. Rev., 94(3):511–525. doi:10.1103/PhysRev.94.511.
   Web of Science ®Google Scholar
• Bottcher, C. J. F., and Belle, O. C. V. (1973). Dielectrics in Static Fields. Elsevier Scientific Publishing Company, Amsterdam.
   Google Scholar
• Brenner, H. (1967). Coupling Between the Translational and Rotational Brownian Motions of Rigid Particles of Arbitrary Shape: II. General Theory. J. Colloid Interface Sci., 23(3):407–436. doi:10.1016/0021-9797(67)90185-3.
   Web of Science ®Google Scholar
• Carrasco, B., and Garcia de la Torre, J. (1999). Improved Hydrodynamic Interaction in Macromolecular Bead Models. J. Chem. Phys., 111(10):4817–4826. doi:10.1063/1.479743.
   Web of Science ®Google Scholar
• Chen, Z.-Y., Deutch, J. M., and Meakin, P. (1984). Translational Friction Coefficient of Diffusion Limited Aggregates. J. Chem. Phys., 80(6):2982–2983. doi:10.1063/1.447012.
   Web of Science ®Google Scholar
• Colbeck, I., Atkinson, B., and Johar, Y. (1997). The Morphology and Optical Properties of Soot Produced by Different Fuels. J. Aerosol Sci., 28(5):715–723. doi:10.1016/S0021-8502(96)00466-1.
   Web of Science ®Google Scholar
• Corson, J., Mulholland, G. W., and Zachariah, M. R. (2017a). Friction Factor for Aerosol Fractal Aggregates over the Entire Knudsen Range. Phys. Rev. E, 95(1):013103. doi:10.1103/PhysRevE.95.013103.
   PubMed Web of Science ®Google Scholar
• Corson, J., Mulholland, G. W., and Zachariah, M. R. (2017b). Analytical Expression for the Friction Coefficient of DLCA Aggregates Based on Extended Kirkwood–Riseman Theory. Aerosol Sci. Technol., 51(6):766–777. doi:10.1080/02786826.2017.1300635.
   Web of Science ®Google Scholar
• Corson, J., Mulholland, G. W., and Zachariah, M. R. (2017c). Calculating the Rotational Friction Coefficient of Fractal Aerosol Particles in the Transition Regime using Extended Kirkwood–Riseman Theory. Phys. Rev. E, 96(1):013110. doi:10.1103/PhysRevE.96.013110.
   PubMed Web of Science ®Google Scholar
• Corson, J., Mulholland, G. W., and Zachariah, M. R. (2017d). Analytical Expression for the Rotational Friction Coefficient of DLCA Aggregates over the Entire Knudsen Regime. Aerosol Sci. Technol., 52(2):206–221. doi:10.1080/02786826.2017.1390544.
   Web of Science ®Google Scholar
• Dobbins, R. A. (2002). Soot Inception Temperature and the Carbonization Rate of Precursor Particles. Combust. Flame, 130(3):204–214. doi:10.1016/S0010-2180(02)00374-7.
   Web of Science ®Google Scholar
• Douglas, J. F., Zhou, H.-X., and Hubbard, J. B. (1994). Hydrodynamic Friction and the Capacitance of Arbitrarily Shaped Objects. Phys. Rev. E, 49(6):5319. doi:10.1103/PhysRevE.49.5319.
   Web of Science ®Google Scholar
• Fernandes, M. X., and Garcia de la Torre, J., 2002. Brownian Dynamics Simulation of Rigid Particles of Arbitrary Shape in External Fields. Biophys. J., 83(6):3039–3048. doi:10.1016/S0006-3495(02)75309-5.
   PubMed Web of Science ®Google Scholar
• Fuchs, N. A., 1964. The Mechanics of Aerosols. Pergamon Press (distributed in the Western Hemisphere by Macmillan), New York, NY, pp. 245–249.
   Google Scholar
• Gel'fand, I. M., Minlos, R. A., and Shapiro, Z. Y. (1963). Representations of the Rotation and Lorentz Groups and Their Applications. Pergamon Press (distributed in the Western Hemisphere by Macmillan), New York, NY.
   Google Scholar
• Happel, J., and Brenner, H., 1965. Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media. Prentice Hall, Englewood Cliffs, NJ, pp. 159–235.
   Google Scholar
• Kirkwood, J. G., and Riseman, J. (1948). The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution. J. Chem. Phys., 16(6):565–573. doi:10.1063/1.1746947.
   Web of Science ®Google Scholar
• Kousaka, Y., Endo, Y., Ichitsubo, H., and Alonso, M. (1996). Orientation-Specific Dynamic Shape Factors for Doublets and Triplets of Spheres in the Transition Regime. Aerosol Sci. Technol., 24(1):36–44. doi:10.1080/02786829608965350.
   Web of Science ®Google Scholar
• Koylu, U. O., and Faeth, G. M. (1992). Structure of Overfire Soot in Buoyant Turbulent Diffusion Flames at Long Residence Times. Combust. Flame, 89(2):140–156. doi:10.1016/0010-2180(92)90024-J.
   Web of Science ®Google Scholar
• Law, W. S., and Loyalka, S. K. (1986). Motion of a Sphere in a Rarefied Gas. II. Role of Temperature Variation in the Knudsen Layer. Phys. Fluids (1958-1988), 29(11):3886–3888. doi:10.1063/1.865773.
   Web of Science ®Google Scholar
• Lea, K. C., and Loyalka, S. K. (1982). Motion of a Sphere in a Rarefied Gas. Phys. Fluids, 25(9):1550–1557. doi:10.1063/1.863943.
   Web of Science ®Google Scholar
• Li, M., Mulholland, G. W., and Zachariah, M. R. (2012). The Effect of Orientation on the Mobility and Dynamic Shape Factor of Charged Axially Symmetric Particles in an Electric Field. Aerosol Sci. Technol., 46(9):1035–1044. doi:10.1080/02786826.2012.686675.
   Web of Science ®Google Scholar
• Li, M., Mulholland, G. W., and Zachariah, M. R. (2014a). Understanding the Mobility of Nonspherical Particles in the Free Molecular Regime. Phys. Rev. E, 89(2):022112. doi:10.1103/PhysRevE.89.022112.
   Web of Science ®Google Scholar
• Li, M., Mulholland, G. W., and Zachariah, M. R. (2016). The Effect of Alignment on the Electric Mobility of Soot. Aerosol Sci. Technol., 50(10):1003–1016. doi:10.1080/02786826.2016.1213789.
   Web of Science ®Google Scholar
• Li, M., You, R., Mulholland, G. W., and Zachariah, M. R. (2014b). Development of a Pulsed-Field Differential Mobility Analyzer: A Method for Measuring Shape Parameters for Nonspherical Particles. Aerosol Sci. Technol., 48(1):22–30. doi:10.1080/02786826.2013.850150.
   Web of Science ®Google Scholar
• Mackowski, D. W. (2006). Monte Carlo Simulation of Hydrodynamic Drag and Thermophoresis of Fractal Aggregates of Spheres in the Free-Molecule Flow Regime. J. Aerosol Sci., 37(3):242–259. doi:10.1016/j.jaerosci.2004.11.011.
   Web of Science ®Google Scholar
• Mansfield, M. L., Douglas, J. F., and Garboczi, E. J. (2001). Intrinsic Viscosity and the Electrical Polarizability of Arbitrarily Shaped Objects. Phys. Rev. E, 64(6):061401. doi:10.1103/PhysRevE.64.061401.
   Web of Science ®Google Scholar
• Meakin, P., Chen, Z.-Y., and Deutch, J. M. (1985). The Translational Friction Coefficient and Time Dependent Cluster Size Distribution of Three Dimensional Cluster–Cluster Aggregation. J. Chem. Phys., 82(8):3786–3789. doi:10.1063/1.448890.
   Web of Science ®Google Scholar
• Mulholland, G. W., Hagwood, C. R., Li, M., and Zachariah, M. R. (2016). Effect of Particle Rotation on the Drift Velocity for Nonspherical Aerosol Particles. J. Aerosol Sci., 101:65–76. doi:10.1016/j.jaerosci.2016.04.004.
   Web of Science ®Google Scholar
• Park, K., Kittelson, D. B., Zachariah, M. R., and McMurry, P. H. (2004). Measurement of Inherent Material Density of Nanoparticle Agglomerates. J. Nanopart. Res., 6(2):267–272. doi:10.1023/B:NANO.0000034657.71309.e6.
   Web of Science ®Google Scholar
• Rotne, J., and Prager, S. (1969). Variational Treatment of Hydrodynamic Interaction in Polymers. J. Chem. Phys., 50(11):4831–4837. doi:10.1063/1.1670977.
   Web of Science ®Google Scholar
• Sorensen, C. M. (2011). The Mobility of Fractal Aggregates: A Review. Aerosol Sci. Technol., 45(7):765–779. doi:10.1080/02786826.2011.560909.
   Web of Science ®Google Scholar
• Weiss, R. E., Kapustin, V. N., and Hobbs, P. V. (1992). Chain-Aggregate Aerosols in Smoke from the Kuwait Oil Fires. J. Geophys. Res.: Atmos, 97(D13):14527–14531. doi:10.1029/92JD01372.
   Web of Science ®Google Scholar
• Yamakawa, H. (1970). Transport Properties of Polymer Chains in Dilute Solution: Hydrodynamic Interaction. J. Chem. Phys., 53(1):436–443. doi:10.1063/1.1673799.
   Web of Science ®Google Scholar
• Zelenyuk, A., and Imre, D. (2007). On the Effect of Particle Alignment in the DMA. Aerosol Sci. Technol., 41(2):112–124. doi:10.1080/02786820601118380.
   Web of Science ®Google Scholar
• Zhang, C., Thajudeen, T., Larriba, C., Schwartzentruber, T. E., and Hogan Jr., C. J. (2012). Determination of the Scalar Friction Factor for Nonspherical Particles and Aggregates across the Entire Knudsen Number Range by Direct Simulation Monte Carlo (DSMC). Aerosol Sci. Technol., 46(10):1065–1078. doi:10.1080/02786826.2012.690543.
   Web of Science ®Google Scholar