The electrical mobilities and scalar friction factors of modest-to-high aspect ratio particles in the transition regime

Journal of Aerosol Science

Volumn 82, Issue , 2015, Pages 24-39

  Gopalakrishnan, Ranganathan ^a,b   McMurry, Peter H ^a   Hogan, Christopher J ^a  

^a University of Minnesota   (United States)

^b University of California   (United States)

Author keywords

Differential mobility analysis; Electrical mobility; Knudsen number; Nanorods; Transition regime

Indexed keywords

ATMOSPHERIC PRESSURE; CARBON DIOXIDE; DIMERS; ELECTRIC FIELDS; FRICTION; GOLD; NANORODS; NANOTUBES; SPHERES; TRANSFER FUNCTIONS; VOLTAGE MEASUREMENT; WELDING ELECTRODES; YARN;

DIFFERENTIAL MOBILITY ANALYSIS; DIFFERENTIAL MOBILITY ANALYZERS; ELECTRICAL MOBILITY; HIGH ASPECT RATIO PARTICLES; KNUDSEN NUMBERS; MOBILITY EQUIVALENT DIAMETER; MOBILITY MEASUREMENTS; TRANSITION REGIMES;

ASPECT RATIO;

CARBON DIOXIDE; CARBON NANOTUBE; GOLD NANOPARTICLE; GOLD NANOROD; NANOPARTICLE; POLYSTYRENE;

ATMOSPHERIC PRESSURE; CARBON DIOXIDE; DIFFERENTIAL THERMAL ANALYSIS; DIMENSIONLESS NUMBER; ELECTRIC FIELD; ELECTRICAL PROPERTY; FRICTION; HISTOGRAM; MOBILITY; NANOPARTICLE; TRANSFER FUNCTION;

AEROSOL; ANALYZER; ARTICLE; ATMOSPHERIC PRESSURE; DIFFERENTIAL MOBILITY ANALYZER; ELECTRIC FIELD; ELECTRIC POTENTIAL; ELECTRICAL MOBILITY; ELECTROPHORETIC MOBILITY; FRICTION; GAS; HISTOGRAM; HYDRODYNAMICS; MOLECULAR MODEL; PARTICLE SIZE; PHASE TRANSITION; PRIORITY JOURNAL; ROOM TEMPERATURE; TRANSMISSION ELECTRON MICROSCOPY;

EID: 84924054910     PISSN: 00218502     EISSN: 18791964     Source Type: Journal    
DOI: 10.1016/j.jaerosci.2015.01.001     Document Type: Article

References (52)

1. Balazy A., Podgorski A. Deposition efficiency of fractal-like aggregates in fibrous filters calculated using Brownian dynamics method. Journal of Colloid and Interface Science 2007, 311:323-337.
2. Cai J., Sorensen C.M. Diffusion of fractal aggregates in the free molecular regime. Physical Review E 1994, 50:3397-3400.
3. Cauchy A. Oeuvres Completes leserie 1908.
4. Chapman S., Cowling T.G. The mathematical theory of non-uniform gases 1970, Cambridge University Press, Cambridge.
5. Cheng Y.S., Allen M.D., Gallegos D.P., Yeh H.C., Peterson K. Drag force and slip correction of aggregate aerosols. Aerosol Science and Technology 1988, 8:199-214.
6. Dahneke B.E. Slip correction factors for nonspherical bodies-III. The form of the general law. Journal of Aerosol Science 1973, 4:163-170.
7. Davies C.N. Definitive equations for the fluid resistance of spheres. Proceedings of the Physical Society 1945, 57:259-270.
8. Douglas J.F., Zhou H.X., Hubbard J.B. Hydrodynamic friction and the capacitance of arbitrarily-shaped objects. Physical Review E 1994, 49:5319-5337.
9. Fuchs N.A. The mechanics of aerosols 1964, Macmillan, New York. (Rev. and enl. ed.).
10. Given J.A., Hubbard J.B., Douglas J.F. A first-passage algorithm for the hydrodynamic friction and diffusion-limited reaction rate of macromolecules. Journal of Chemical Physics 1997, 106:3761-3771.
11. Gopalakrishnan R., Meredith M.R., Larriba-Andaluz C., Hogan C.J. Brownian dynamics determination of the bipolar steady state charge distribution on spheres and non-spheres in the transition regime. Journal of Aerosol Science 2013, 63:126-145.
12. Gopalakrishnan R., Thajudeen T., Hogan C.J. Collision limited reaction rates for arbitrarily shaped particles across the entire diffusive Knudsen number range. Journal of Chemical Physics 2011, 135:054302.
13. Gopalakrishnan R., Thajudeen T., Ouyang H., Hogan C.J. The unipolar diffusion charging of arbitrary shaped aerosol particles. Journal of Aerosol Science 2013, 64:60-80.
14. Hansen S. Translational friction coefficients for cylinders of arbitrary axial ratios estimated by Monte Carlo simulation. Journal of Chemical Physics 2004, 121:9111-9115.
15. Hansson H.-C., Ahlberg M.S. Dynamic shape factors of sphere aggregates in an electric field and their dependence on the Knudsen number. Journal of Aerosol Science 1985, 16:69-79.
16. Happel J., Brenner H. Low Reynolds number hydrodynamics 1983, Martinus Nijhoff Publishers, The Hague, The Netherlands.
17. Horvath H. Method for the determination of dynamic shape factors of sphere aggregates by measuring the sedimentation velocity in a capacitor. Journal of Aerosol Science 1979, 10:309-315.
18. Isella L., Drossinos Y. On the friction coefficient of straight-chain aggregates. Journal of Colloid and Interface Science 2011, 356:505-512.
19. Kasper G. Dynamics and measurement of smokes. II The aerodynamic diameter of chain aggregates in the transition regime. Aerosol Science and Technology 1982, 1:201-215.
20. Kasper G., Shaw D.T. Comparative size distribution measurements on chain aggregates. Aerosol Science and Technology 1983, 2:369-381.
21. Knutson E.O., Whitby K.T. Aerosol classification by electric mobility: apparatus, theory, and applications. Journal of Aerosol Science 1975, 6:443-451.
22. Kousaka Y., Endo Y., Ichitsubo H., Alonso M. Orientation-specific dynamic shape factors for doublets and triplets of spheres in the transition regime. Aerosol Science and Technology 1996, 24:36-44.
23. Ku B.K., Fernandez de la Mora J. Relation between electrical mobility, mass, and size for nanodrops 1-6.5nm in diameter in air. Aerosol Science and Technology 2009, 43:241-249.
24. Lall A.A., Friedlander S.K. On-line measurement of ultrafine aggregate surface area and volume distributions by electrical mobility analysis: I. Theoretical analysis. Journal of Aerosol Science 2006, 37:260-271.
25. 2 environments. Analytical Chemistry 2015, In review.
26. Lattuada M., Wu H., Morbidelli M. Hydrodynamic radius of fractal clusters. Journal of Colloid and Interface Science 2003, 268:96-105.
27. Li M., You R., Mulholland G.W., Zachariah M.R. Evaluating the mobility of nanorods in electric fields. Aerosol Science and Technology 2013, 47:1101-1107.
28. Mackowski D.W. Monte Carlo simulation of hydrodynamic drag and thermophoresis of fractal aggregates of spheres in the free-molecule flow regime. Journal of Aerosol Science 2006, 37:242-259.
29. Melas A.D., Isella L., Konstandopoulos A.G., Drossinos Y. A methodology to calculate the friction coefficient in the transition regime: Application to straight chains. Journal of Aerosol Science 2015, 10.1016/j.jaerosci.2015.01.003, in press.
30. Miller A., Frey G., King G., Sunderman C. A handheld electrostatic precipitator for sampling airborne particles and nanoparticles. Aerosol Science and Technology 2010, 44:417-427.
31. Millikan R.A. The general law of fall of a small spherical body through a gas, and its bearing upon the nature of molecular reflection from surfaces. Physical Review 1923, 22:1-23.
32. Moshfegh A., Shams M., Ahmadi G., Ebrahimi R. A novel surface-slip correction for microparticles motion. Colloids and Surfaces A-Physicochemical and Engineering Aspects 2009, 345:112-120.
33. Moshfegh A., Shams M., Ahmadi G., Ebrahimi R. A new expression for spherical aerosol drag in slip flow regime. Journal of Aerosol Science 2010, 41:384-400.
34. Ouyang H., Larriba-Andaluz C., Oberreit D.R., Hogan C.J. The collision cross sections of iodide salt cluster ions in air via differential mobility analysis-mass spectrometry. Journal of the American Society for Mass Spectrometry 2013, 24:1833-1847.
35. Park K., Dutcher D., Emery M., Pagels J., Sakurai H., Scheckman J., et al. Tandem measurements of aerosol properties - A review of mobility techniques with extensions. Aerosol Science and Technology 2008, 42:801-816.
36. Phillips W.F. Drag on a small sphere moving through a gas. Physics of Fluids 1975, 18:1089-1093.
37. Pich J. The drag of a cylinder in the transition region. Journal of Colloid and Interface Science 1969, 29:91-96.
38. Rader D.J. Momentum slip correction factor for small particles in 9 common gases. Journal of Aerosol Science 1990, 21:161-168.
39. Rogak S.N., Flagan R.C. Coagulation of aerosol agglomerates in the transition regime. Journal of Colloid and Interface Science 1992, 151:203-224.
40. Song D.K., Lenggoro I.W., Hayashi Y., Okuyama K., Kim S.S. Changes in the shape and mobility of colloidal gold nanorods with electrospray and differential mobility analyzer methods. Langmuir 2005, 21:10375-10382.
41. Sorensen C.M. The mobility of fractal aggregates: A review. Aerosol Science and Technology 2011, 45:765-779.
42. Stolzenburg M.R., McMurry P.H. Equations governing single and tandem DMA configurations and a new lognormal approximation to the transfer function. Aerosol Science and Technology 2008, 42:421-432.
43. Thajudeen T., Gopalakrishnan R., Hogan C.J. The collision rate of non-spherical particles and aggregates for all diffusive Knudsen numbers. Aerosol Science and Technology 2012, 46:1174-1186.
44. Thajudeen T., Jeon S., Hogan C.J. The mobility of flame synthesized aggregates/agglomerates in the transition regime. Journal of Aerosol Science 2015, 80:45-57.
45. Unrau C.J., Axelbaum R.L. Gas-phase synthesis of single-walled carbon nanotubes on catalysts producing high yield. Carbon 2010, 48:1418-1424.
46. Unrau C.J., Axelbaum R.L., Biswas P., Fraundorf P. Online size characterization of nanofibers and nanotubes. Molecular Building Blocks for Nanotechnology: From Diamondoids to Nanoscale Materials and Applications 2007, 109:212-245.
47. Unrau C.J., Axelbaum R.L., Biswas P., Fraundorf P. Synthesis of single-walled carbon nanotubes in oxy-fuel inverse diffusion flames with online diagnostics. Proceedings of the Combustion Institute 2007, 31:1865-1872.
48. Wen H.Y., Kasper G. Dynamics and measurement of smokes.3. Drag and orientation of chain aggregates in an electrical mobility spectrometer. Aerosol Science and Technology 1984, 3:397-403.
49. Wen H.Y., Reischl G.P., Kasper G. Bipolar diffusion charging of fibrous aerosol-particles. 2. Charge and electrical mobility measurements on linear-chain aggregates. Journal of Aerosol Science 1984, 15:103-122.
50. Zelenyuk A., Imre D. On the effect of particle alignment in the DMA. Aerosol Science and Technology 2007, 41:112-124.
51. Zhang C., Thajudeen T., Larriba C., Schwartzentruber T.E., Hogan C.J. Determination of the scalar friction factor for non-spherical particles and aggregates across the entire Knudsen number range by direct simulation Monte Carlo (DSMC). Aerosol Science and Technology 2012, 46:1065-1078.
52. Zhou H.X., Szabo A., Douglas J.F., Hubbard J.B. A Brownian dynamics algorithm for calculating the hydrodynamic friction and the electrostatic capacitance of an arbitrarily-shaped object. Journal of Chemical Physics 1994, 100:3821-3826.