742
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Low Reynolds number capture of small particles on a cylinder by diffusion, interception, and inertia at subcritical Stokes numbers: Numerical calculations, correlations, and small diffusivity asymptote

, &
Pages 1367-1380 | Received 19 Apr 2019, Accepted 14 Aug 2019, Published online: 19 Sep 2019

References

  • Batchelor, G. K. 1967. An introduction to fluid dynamics. Cambridge: Cambridge University Press.
  • Boyd, J. P. 2000. Chebyshev and Fourier spectral methods. Mineola: Dover.
  • Dahneke, B. 1975. Further measurements of the bouncing of small latex spheres. J. Colloid Interface Sci. 51 (1):58–65. doi: 10.1016/0021-9797(75)90083-1.
  • Fernandez de la Mora, J., and D. E. Rosner. 2019. Low Reynolds number capture of small particles on cylinders by diffusion, interception, and inertia at subcritical stokes numbers. Aerosol Sci. Technol. 53 (6):647–662. doi: 10.1080/02786826.2019.1587378.
  • Fernandez de la Mora, J., and D. E. Rosner. 1982. Effects of inertia on the diffusional deposition of small particle to spheres and cylinders at low Reynolds numbers. J. Fluid Mechan. 125(1):379–395. doi: 10.1017/S0022112082003395.
  • Friedlander, S. K. 2000. Smoke, dust and haze: Fundamentals of aerosol dynamics. Oxford: Oxford University Press.
  • Gougeon, R., D. Boulaud, and A. Renoux. 1996. Comparison of data from model fiber filters with diffusion, interception and inertial deposition models. Chem. Eng. Commun. 151 (1):19–39. doi: 10.1080/00986449608936539.
  • Gottlieb, D., and S. A. Orszag. 1977. Numerical analysis of spectral methods: Theory and applications. Philadelphia: Society for Industrial and Applied Mathematics.
  • Hildebrand, F. B. 2013. Introduction to numerical analysis. Mineola: Dover.
  • Kang, S., H. Lee, S. C. Kim, D.-R. Chen, and D. Y. H. Pui. 2019. Modeling of fibrous filter media for ultrafine particle filtration. Sep. Purif. Technol. 209 :461–469. doi: 10.1016/j.seppur.2018.07.068.
  • Kaplun, S. 1957. Low Reynolds number flow past a circular cylinder. J. Math. Mech. 6:585–593.
  • Lee, K. W., and B. Y. H. Liu. 1982. Theoretical study of aerosol filtration by fibrous filters. Aerosol Sci. Technol. 1(2):147–161. doi: 10.1080/02786828208958584.
  • Quarteroni, A., and A. Valli. 2008. Numerical approximation of partial differential equations. Berlin: Springer.
  • Ramarao, B. V., Tien, C., and S. Mohan. 1994. Calculation of single fiber efficiencies for interception and impaction with superposed Brownian motion. J. Aerosol Sci. 25:295–313. doi: 10.1080/02786828208958584.
  • Rosner, D. E., and M. Arias-Zugasti. 2020a. Predicting the aerosol capture characteristics of fibrous filters—I. Tractable method to incorporate log-normal aerosol polydispersity effects with a multi-mechanism semi-analytic single-fiber capture fraction. J. Sep. Purif. Technol.
  • Rosner, D. E., and M. Arias-Zugasti. 2020b. Predicting the aerosol capture characteristics of fibrous filters—II. Generalizations of a tractable aerosol PBE approach to include fiber dispersity (wrt diam. and orientation) Using a multi-mechanism, semi-analytic single-fiber capture fraction; comparisons with recent experimental data. J. Sep. Purif. Technol.
  • Rosner, D. E., and P. Tandon. 2018. Aggregation and rarefaction effects on particle mass deposition rates by convective-diffusion, thermophoresis or inertial impaction; consequences of ‘momentum shielding. Aerosol Sci. Technol. 52 (3):330–346. doi: 10.1080/02786826.2017.1410095.
  • Yeh, H. C. and B. Y. H. Liu. 1974. Aerosol filtration by fibrous filters. J. Aerosol Sci. 5: 191–204 (Theory): 205–7 (Experiments). doi: 10.1016/0021-8502(74)90050-0.

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.