### 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 language | English (US) |
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Title of host publication | American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED |

Place of Publication | New York, NY, United States |

Publisher | ASME |

Volume | 17 |

State | Published - 1997 |

Externally published | Yes |

Event | Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24) - Vancouver, Can Duration: Jun 22 1997 → Jun 26 1997 |

### Other

Other | Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24) |
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City | Vancouver, Can |

Period | 6/22/97 → 6/26/97 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - On the collision rate of small particles in isotropic turbulence Part 1. Zero-inertia case

AU - Wang, Lian Ping

AU - Wexler, Anthony S.

AU - Zhou, Yong

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030659212&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030659212&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030659212

VL - 17

BT - American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

PB - ASME

CY - New York, NY, United States

ER -