1,981
Views
5
CrossRef citations to date
0
Altmetric
ARTICLES

Brownian diffusion of fibers

, &
Pages 474-486 | Received 24 Nov 2015, Accepted 02 Feb 2016, Published online: 16 Mar 2016

References

  • Asgharian, B., Yu, C. P., and Gradon, L. (1988). Diffusion of Fibers in a Tubular Flow. Aerosol Sci. Technol., 9(3):213–219.
  • Berman, D. W., Crump, K. S., Chatfield, E. J., Davis, J. M. G., and Jones, A. D. (1995). The Sizes, Shapes, and Mineralogy of Asbestos Structures That Induce Lung Tumors or Mesothelioma in AF/HAN Rats Following Inhalation. Risk Anal., 15:181–195.
  • Brenner, H. (1964). The Stokes Resistance of an Arbitrary Particle – IV. Arbitrary Fields of Flow. Chem. Eng. Sci., 19:703–727.
  • Brenner, H. (1967). Coupling between the Translational and Rotational Brownian Motions of Rigid Particles of Arbitrary Shape. J. Colloid Interface Sci., 23:407–436.
  • Brown, R. (1828). A Brief Account of Microscopical Observations Made on the Particles Contained in the Pollen of Plants. London Edinburgh Philosoph. Magazine J. Sci., 4:161–173.
  • Chen, Y. K., and Yu, C. P. (1992). Monte Carlo simulation of fiber orientation in a shear flow with Brownian rotation. Aerosol Science and Technology, 16:255-264.
  • Chhabra, R. P., Singh, T., and Nandrajog, S. (1995). Drag on Chains and Agglomerates of Spheres in Viscous Newtonian and Power Law Fluids. Can. J. Chem. Eng., 73:566–571.
  • Cichocki B., and Hinsen K. (1995). Stokes Drag on Conglomerates of Spheres. Phys. Fluids, 7(2):285–291.
  • Cunningham, E. (1910). On the Velocity of Steady Fall of Spherical Particles through Fluid Medium. Proc. R. Soc. A 83:357.
  • Einstein, A. (1905). On the Motion of Small Particles Suspended in a Stationary Liquid, as Required by the Molecular Kinetic Theory of Heat. Annalen der Physik, 17(8):549–560.
  • Fan, F. G., and Ahmadi, G. (2000). Wall Deposition of Small Ellipsoids From Turbulent Air Flows—A Brownian Dynamics Simulation. J. Aerosol Sci., 31(10):1205–1229.
  • Gallily, I., and Cohen, A. H. (1976). On the Stochastic Nature of the Motion of Nonspherical Aerosol Particles I. The Aerodynamic Radius Concept. J. Colloid Interf. Sci., 56(3):443–459.
  • Gallily, I., and Cohen, A. H. (1979). On the Orderly Nature of the Motion of Nonspherical Aerosol Particles II. Inertial Collision between a Spherical Large Droplet and an Axially Symmetrical Elongated Particle. J. Colloid Interf. Sci., 68(2):338–356.
  • Gentry, J. W., Spurny, K. R., and Schörmann, J. (1991). The Diffusion Coefficients for Ultrathin Chrysotile Fibers. J. Aerosol Sci., 22(7):869–880.
  • Gopalakrishnan, R., McMurry, P. H., and Hogan, C. J. (2015a). The Electrical Mobilities and Scalar Friction Factors of Modest-to-High Aspect Ratio Particles in the Transition Regime. J. Aerosol Sci., 82:24–39.
  • Gopalakrishnan, R., McMurry, P. H., and Hogan, C. J. (2015b). The Bipolar Diffusion Charging of Nanoparticles: A Review and Development of Approaches for Non-Spherical Particles. Aerosol Sci. Technol., 49:1181–1194.
  • Haider, A., and Levenspiel, O. (1989). Drag Coefficient and Terminal Velocity of Spherical and Nonspherical Particles. Powder Technol., 58:63–70.
  • Harris, R. L., and Fraser, D. A. (1976). A Model for Deposition of Fibers in the Human Respiratory System. Amer. Ind. Hyg. Assoc. J., 37(2):73–89.
  • Itô, K. (1944). Stochastic Integral. Proc. Imp. Acad. Tokyo, 20:519–524.
  • Jeffery, G. B. (1922). The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid. Proc. R. Soc. A, 102:161–179.
  • Lasso, I. A., and Weidman, P. D. (1986). Stokes Drag on Hollow Cylinders and Conglomerates. Phys. Fluid., 29(12):3921–3934.
  • Lippmann, M. (1988). Asbestos Exposure Indices. Environ. Res., 46:86–106.
  • Lippmann, M. (1990). Effects of Fiber Characteristics on Lung Deposition, Retention, and Disease. Environ. Health Perspect., 88:311–317.
  • Oseen, C. W. (1927). Hydrodynamik. Akademische Verlagsgesellshaf, Leipzig.
  • Ounis, H., and Ahmadi, G. (1990). A Comparison of Brownian and Turbulent Diffusion. Aerosol Sci. Technol., 13:47–53.
  • Stanton, M. F., Laynard, M., Tegeris, A., Miller, E., May, M., and Kent, E. (1977). Carcinogenicity of Fibrous Glass: Pleural Response in the Rat in Relation to Fiber Dimension. J. Natl. Cancer Inst., 58:587–603.
  • Stanton, M. F., Laynard, M., Tegeris, A., Miller, E., May, M., Morgan E., and Smith, A. (1981). Relation of Particle Dimension to Carcinogenicity in Amphibole Asbestoses and Other Fibrous Minerals. J. Natl. Cancer Inst., 67:965–975.
  • Tian, L., and Ahmadi, G. (2007). Particle Deposition in Turbulent Duct Flows—Comparisons of Different Model Predictions. J. Aerosol Sci., 38:377–397.
  • Tian, L., and Ahmadi, G. (2012). Transport and Deposition of Ellipsoidal Fibers in Low Reynolds Number Flow. J. Aerosol Sci., 45:1–18.
  • Tian, L., and Ahmadi, G. (2013). Fiber Transport and Deposition in Human Upper Tracheobroncial Airways. J. Aerosol Sci., 60:1–20.
  • Tian, L., and Ahmadi, G. (2016). Transport and Deposition of Nano-Fibers in Human Upper Tracheobronchial Airways. J. Aerosol Sci., 91:22–32.
  • Tran-Cong, S., Gay, M., and Michaelides, E. E. (2004). Drag Coefficients of Irregularly Shaped Particles. Powder Technol., 139(1):21–32.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.