The mobility of fractal aggregates: A review

Aerosol Science and Technology

Volumn 45, Issue 7, 2011, Pages 765-779

  Sorensen, C M ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL DIMENSION;

CLUSTER-CLUSTER AGGREGATION; FRACTAL AGGREGATE; KNUDSEN NUMBERS; PREFACTORS; REACTION LIMITEDS;

AGGREGATES;

NITROGEN;

AEROSOL; ANALYZER; CHEMICAL REACTION; CLUSTER ANALYSIS; COLLOID; DIFFERENTIAL MOBILITY ANALYZER; DIFFUSION; DIFFUSION LIMITED CLUSTER AGGREGATION; DISTILLATION; FLOW KINETICS; FRACTAL AGGREGATION; FRACTAL ANALYSIS; GEOMETRY; MOLECULAR DYNAMICS; MOLECULAR MODEL; MOLECULAR WEIGHT; MOLECULE; PARTICLE SIZE; PHYSICAL CHEMISTRY; PRIORITY JOURNAL; REACTION LIMITED CLUSTER AGGREGATION; REVIEW; SOLID; THEORETICAL MODEL; VISCOSITY;

EID: 79952554739     PISSN: 02786826     EISSN: 15217388     Source Type: Journal    
DOI: 10.1080/02786826.2011.560909     Document Type: Review

References (66)

1. Adler, P. M. (1987). Hydrodynamic Properties of Fractal Flocs. Faraday Discuss. Chem. Soc. 83:145-152.
2. Allen, M. D., and Raabe, O. G. (1982). Re-Evaluation of Millikan's Oil Drop Data for the Motion of Small Particles in Air, J. Aerosol Sci. 13:537-547. (Pubitemid 13509579)
3. Al Zaitine, B., Schmid, H.-J., and Peukert, W. (2009). J. Aerosol Sci. 40:950-964.
4. Baron, P., Sorensen, C. M., and Brockman, J. (2001). Nonspherical Particle Measurements: Shape Factors, Fractals and Fibers, in Aerosol Measurement, P. Baron and K. Willeke eds., Wiley-Interscience, New York.
5. Binder, C., Hartig, M. A. J., and Peukert, W. (2009). Structural Dependent Drag Force and Orientation Prediction for Small Fractal Aggregates, J. Coll. Int. Sci. 331:243-250.
6. Binder, C., Feichtinger, C., Schmid, H. J., and Thürey, N. (2006). Simulation of the Hydrodynamic Drag of Aggregated Particles, Jour. of Coll. & Interface Sci. 301:155-167. (Pubitemid 44092756)
7. Cai, J., and Sorensen, C. M. (1994). Diffusion of Fractal Aggregates in the Free Molecular Regime, Phys. Rev. E 50:3397-3400.
8. Cai, J., Lu, N., and Sorensen, C. M. (1995). Analysis ofFractal Cluster Morphology Parameters: Structural Coefficient and Density Autocorrelation Function Cutoff, J. Coll. Int. Sci. 171:470-474.
9. Chan, P., and Dahneke, B. (1981). Free-Molecule Drag on Straight Chains of Uniform Spheres, J. Appl. Phys. 52:3106-3110. (Pubitemid 12430186)
10. Chen, Z. Y., Meakin, P., and Deutch, J. M. (1987). Comment on "Hydrodynamic Behavior ofFractal Aggregates, Phys. Rev. Lett. 59:2121.
11. Cheng, Y.-S., Allen, M. D., Gallegos, D. P., Yeh, H.-C., and Peterson, K. (1988). Drag Force and Slip Correction of Aggregate Aerosols, Aerosol Sci. Technol. 8:199-214.
12. Cho, K., Hogan Jr., C. J., and Biswas, P. (2007). Study of the Mobility, Surface Area, and Sintering Behavior of Agglomerates in the Transition Regime by Tandem Differential Mobility Analysis, J. Nanopart. Res. 9:1003-1012. (Pubitemid 47476841)
13. Coelho, D., Thovert, J.-F., Thouy, R., and Adler, P. M. (1997). Hydrodynamic Drag and Electrophoresis of Suspensions of Fractal Aggregates, Fractals 5:507-522.
14. Dahneke, B. (1982). Viscous Resistance of Straight-Chain Aggregates of Uniform Spheres, Aerosol Sci. Tech. 1:179-185. (Pubitemid 13575862)
15. DeCarlo, P. F., Slowik, J. G., Worsnop, D. R., Davidovits, P., and Jimenez, J. L. (2004). Particle Morphology and Density Characterization by Combined Mobility ad Aerodynamic Diameter Measurements. Part 1: Theory, Aerosol Sci. Technol. 38:1185-1205. (Pubitemid 40075872)
16. Filippov, A. V. (2000). Drag and Torque on Clusters of N Arbitrary Spheres at Low Reynolds Number, J. Coll. & Inteface Sci. 229:184-195. (Pubitemid 30656100)
17. Friedlander, S. K. (2000). Smoke, Dust and Haze. Fundamentals of Aerosol Dynamics. Oxford University Press, New York.
18. Gwaze, P., Schmid, O., Annegarn, H. J., Andreae, M. O., Huth, J., and Helas Günter. (2006). Comparison of Three Methods of Fractal Analysis Applied to Soot Aggregates from Wood Combustion, J. Aerosol Sci. 37:820-838. (Pubitemid 43927775)
19. Heinson, W. R., Sorensen, C. M., and Chakrabarti, A. (2010). Does Shape Anisotropy Control the Fractal Dimension in Diffusion-Limited Cluster-Cluster Aggregation?, Aerosol Sci. & Tech. 44(12):i-iv.
20. Horvath H. (1974). The Sedimentation Behavior of non-Spherical Particles, Staub 34:197-202.
21. Jullien, R. and Botet, R. (1987). Aggregation and Fractal Aggregates, World Scientific, Singapore.
22. Katzel, U., Bedrich, R., Stintz, M., Ketzmerick, R., Gottschalk-Gaudig, T., and Barthel, H. (2008). Dynamic Light Scattering for the Characterization of Polydisperse Fractal Systems: I. Simulation of the Diffusional Behavior, Part. Part. Syst. Charact. 25:9-18. (Pubitemid 351613112)
23. Kasper, G., Niida, T., and Yang, M. (1985). Measurements of Viscous Drag on Eylinders and Chains of Spheres with Aspect Ratios Between 2 and 50, J. Aerosol Sci. 16:535-556.
24. Kim, A. S., and Stolzenbach, K. D. (2002). The Permeability of Synthetic Fractal Aggregates with Realistic three-Dimensional Structure, J. Coll. Interface Sci. 253:315-328. (Pubitemid 35351912)
25. Kim, W. G., Sorensen, C. M., and Chakrabarti, A. (2004). Universal Occurrence of Soot Aggregates With a Fractal Dimension of 2.6 in Heavily Sooting Laminar Diffusion Flames, Langmuir 20:3969-3973.
26. Kim, W. G., Sorensen, C. M., Fry, D., and Chakrabarti, A. (2006). Soot Aggregates, Superaggregates and Gel-Like Networks in Laminar Diffusion Flames, J. Aerosol Sci. 37:386-401. (Pubitemid 43247793)
27. Kirkwood, J. G., and Riseman, J. (1948). The Intrinsic viscosities and Diffusion Constants of Flexible Macromolecules in Solution, J. Chem. Phys. 16:565-573.
28. Kolb, M., Botet, R., and Jullien, R. (1983). Scaling of Kinetically Growing Clusters, Phys. Rev. Lett. 51:1123-1126.
29. Kousaka, Y., Endo, Y., Ichitsubo, H., and Alonso, M. (1996). Orientration-Specific Dynamic Shape Factors for Doublets and Triplets of Spheres in the Transition Regime, Aerosol Sci. Technol. 24:36-44. (Pubitemid 26062566)
30. Koylu, U. O., and Faeth, G. M. (1995). Optical Properties of Overfire Soot in Buoyant Turbulent Diffusion Flames at Long Residence Times. Trans. of ASME 116:152-159.
31. Lattuada, M., Wu, H., and Morbidelli, M. (2003a). Hydrodynamic Radius of Fractal Clusters, Jour. of Coll. & Interface Sci. 268:96-105. (Pubitemid 37377989)
32. Lattuada, M., Wu, H., and Morbidelli, M. (2003b). A Simple Model for the Structureof Fractal Aggregates, Jour. Coll. and Interface Sci. 268:106-120. (Pubitemid 37383736)
33. Lattuada, M., Wu, H., and Morbidelli, M. (2004). Radial Density Distribution ofFractal Aggregates, Chemical Engineering Science 59:4401-4413. (Pubitemid 39300768)
34. Mackowski, D. W. (2006). Monte Carlo Simulation of Hydrodynamic Drag and Thermophoresis of Fractal Aggregates of Spheres in the Free-Molecular Flow Regime, J. Aerosol Sci. 37:242-259.
35. Maricq, M. M., and Xu, N. (2004). The Effective Density and Fractal Dimension of Soot Particles from Premixed Flames and Motor Vehicle Exhaust, J. Aerosol Sci. 35:1251-1274. (Pubitemid 39314399)
36. Meakin, P. (1983). Formation of Fractal Clusters and Networks by Irreversible Diffusion Limited Aggregation, Phys. Rev. Lett. 51:1119-1122.
37. Meakin, P., Fractal Aggregates (1988). Adv. Coll. & Interface Sci. 28:249-331.
38. 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. 82:3786-3787.
39. Meakin, P., Donn, B., and Mulholland, G. W. (1989). Collisions Between Point Mass and Fractal Aggregates, Langmuir 5:510-518.
40. Mountain, R. D., and Mulholland, G. W. (1988). Light-Scattering from Simulated Smoke Agglomerates, Langmuir 4:1321-1326.
41. Park, K., Kittelson, D. B., and McMurry, P. H. (2004). Structural Properties of Diesel Exhaust Particles Measured by Transmission Electron Microscopy (TEM): Relationships to Particle Mass and Mobility, Aerosol Sci. Technol. 38:881-889. (Pubitemid 39362727)
42. Pierce, F., Sorensen, C. M., and Chakrabarti, A. (2006). Computer Simulation of Diffusion-Limited Cluster-Cluster Aggregation with an Epstein Drag Force, Phys. Rev. E74:021411-8.
43. Pusey, P. N., Rarity, J. G., Klein, R., and Weitz, D. A. (1987). Comment on "Hydrodynamic Behaviour of Fractal Aggregates", Phys. Rev. Lett. 59:2122-2125.
44. Rogak, S. N., Flagan, R. C., and Nguyen, H. V. (1993). The Mobility and Structureof Aerosol Agglomerates, Aerosol Sci. Technol. 18:25-47.
45. Rogak, S. N., and Flagan, R. C. (1990). Stokes drag on self-similar structures ofspheres, J. Coll. Int. Sci. 134:206-218.
46. Scheckman, J. H., McMurry, P. H., and Pratsinis, S. E. (2009). Rapid Characterization of Agglomerate Aerosols by in Situ Mass-Mobility Measurements. Langmuir 25:8248-8254.
47. Schmidt-Ott, A. (1988). In Situ Measurement of the Fractal Dimensionality of Ultrafine Aerosol Particles, Appl. Phys. Lett. 52:954-956.
48. Shin, W. G., Mulholland, G. W., Kim, S. C., Wang, J., Emery, M. S., and Pui, D. Y. H. (2009). Friction Coefficient and Mass of Silver Agglomerates in the Transition Regime, J. Aerosol Science 40:573-587.
49. Shin, W. G., Mulholland, and Pui, D. Y. H. (2010). Determination ofVolume, Scaling Exponents, and Particle Alignment of Nanoparticle Agglomerates using Tandem Differential Mobility Analyzers, J. Aerosol Sci. 41:665-681.
50. Slowik, J. G., Stainken, K., Davidovits, P., Williams, L. R., Jayne, J. T., Kolb, C. E., Worsnop, D. R., Rudich, Y., DeCarlo, P. F., and Jimenez, J. L. (2004). Particle Morphology and Density Characterization by Combined Mobility and Aerodynamic Diameter Measurements. Part 2: Application to Combustion-Generated Soot Aerosols as a Function of Fuel Equivalence Ratio,Aerosol Sci. Technol. 38:1206-1222. (Pubitemid 40075873)
51. Sorensen, C. M. (2001). Light Scattering from Fractal Aggregates. A Review, Aerosol Sci. Technol. 35:648-687. (Pubitemid 32727059)
52. Sorensen, C. M., Cai, J., and Lu, N. (1992). Light Scattering Measurements of Monomer Size, Monomers per Aggregate and Fractal Dimension for Soot Aggregates in Flames, Appl. Optics 31:6547-6556.
53. Sorensen, C. M., and Roberts, G. C. (1997). The Prefactor ofFractal Aggregates, J. Coll.Interface Sci. 186:447-452.
54. Sorensen, C. M., and Oh, C. (1998). Divine Proportion Shape Invariance and the Fractal Nature of Aggregates, Phys. Rev. E 58:7545-7548. (Pubitemid 128593260)
55. Sorensen, C. M., and Wang, G. M. (1999). Size Distribution Effect on the Power Law Regime of the Structure Factor of Fractal Aggregates, Phys. Rev. E 60:7143-7148. (Pubitemid 129651365)
56. Sorensen, C. M., and Wang, G. M. (2000). Note on the Correction for Diffusion and Drag in the Slip Regime, Aerosol Sci. Technol. 33:353-356. (Pubitemid 32006421)
57. Sorensen, C. M., Kim, W., Fry, D., and Chakrabarti, A. (2003). Observation of Soot Superaggregates with a Fractal Dimension of 2.6 in Laminar Acetylene/Air Diffusion Flames, Langmuir 19:7560-7563 (2003).
58. Tandon, P., and Rosner, D. E. (1995). Translational Brownian Diffusion-Coefficient of Large(Multiparticle)Suspended Aggregates, Ind. Eng. Chem. Res. 34:3265-3277.
59. Vainshtein, P., and Shapiro, M. (2005). Mobility of Permeable Fractal Agglom-erates in Slip Regime, J. Coll. Interface Sci. 284:501-509. (Pubitemid 40385910)
60. Vainshtein, P., Shapiro, M., and Gutfinger, C. (2004), Mobility of Permeable Aggregates: Effects of Shape and Porosity, J. Aerosol Sci. 35:383-404. (Pubitemid 38293373)
61. Vanni, M. (2000). Creeping Flow over Spherical Permeable Aggregates, Chem. Engineer. Sci. 55:685-698. (Pubitemid 30073950)
62. Veerapaneni, S., and Wiesner, M. R. (1996). Hydrodynamics ofFractal Aggre-gates with Radially Varying Permeability, J. Coll. Interface Sci. 177:45-57. (Pubitemid 26165133)
63. Van Gulijk, C., Marijnissen, J. C. M., Makkee, M., Moulijn, J. A., and Schmidt-Ott, A. (2004). Measuring Diesel Soot with a Scanning Mobility Particle Sizer and an Electrical Low-Pressure Impactor: Performance Assessment with a Model for Fractal-Like Agglomerates, J. Aerosol Sci. 35:633-655. (Pubitemid 38501679)
64. Wang, G. M., and Sorensen, C. M. (1999). Diffusive Mobility of Fractal Aggre-gates over the Entire Knudsen Number Range, Phys. Rev. E60:3036-3044. (Pubitemid 129691483)
65. Wiltzius, P. (1987). Hydrodynamic Behavior ofFractal Aggregates, Phys. Rev. Lett. 58:710-713.
66. Zelenyuk, A., Cai, Y., and Imre, D. (2006). From Agglomerates of Spheres to Irregularly Shaped Particles: Determination of Dynamic Shape Factors from Measurements of Mobility and Vacuum Aerodynamic Diameters, Aerosol Sci. Technol. 40:197-217.