On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case

Lian Ping Wang, Anthony S. Wexler, Yong Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Numerical experiments have been performed to study the geometric collision rate of finite-size particles with zero inertia (i.e.Γfluid elements) in isotropic turbulence. The turbulent flow was generated by pseudospectral method. We argue that the formulation of Saffman & Turner (1956) for the average collision kernel is correct only under the assumptions that the particles are kept in the system after collision and allowed to overlap in space. This was confirmedΓ for the first timeΓby numerical experiments to within a numerical uncertainty as small as 1%. Finite corrections to the Saffman & Turner results must be made if one applied the theory to actual coagulation process where particles are not allowed to overlap before collision and particles are removed from a given size group after collision. The origin for these corrections was identified. Numerical experiments in simple shear flow were also conducted to elaborate our findings.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
Place of PublicationNew York, NY, United States
PublisherASME
Volume17
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24) - Vancouver, Can
Duration: Jun 22 1997Jun 26 1997

Other

OtherProceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24)
CityVancouver, Can
Period6/22/976/26/97

Fingerprint

Turbulence
Experiments
Shear flow
Coagulation
Turbulent flow
Particle size
Fluids
Uncertainty

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Wang, L. P., Wexler, A. S., & Zhou, Y. (1997). On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case. In American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED (Vol. 17). New York, NY, United States: ASME.

On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case. / Wang, Lian Ping; Wexler, Anthony S.; Zhou, Yong.

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 17 New York, NY, United States : ASME, 1997.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wang, LP, Wexler, AS & Zhou, Y 1997, On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case. in American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. vol. 17, ASME, New York, NY, United States, Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24), Vancouver, Can, 6/22/97.
Wang LP, Wexler AS, Zhou Y. On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case. In American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 17. New York, NY, United States: ASME. 1997
Wang, Lian Ping ; Wexler, Anthony S. ; Zhou, Yong. / On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 17 New York, NY, United States : ASME, 1997.
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