### Abstract

Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process in time-periodic incompressible flows. We find that this process approaches an asymptotic dynamical steady state where the average number of particles of each size is roughly constant. We compare the steady-state size distributions corresponding to two fragmentation mechanisms and for different flows and find that the steady state is mostly independent of the coagulation process. While collision rates determine the transient behavior, fragmentation determines the steady state. For example, for fragmentation due to shear, flows that have very different local particle concentrations can result in similar particle size distributions if the temporal or spatial variation in shear forces is similar.

Original language | English |
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Article number | 026311 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 80 |

Issue number | 2 |

DOIs | |

Publication status | Published - Aug 19 2009 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*80*(2), [026311]. https://doi.org/10.1103/PhysRevE.80.026311

**Coagulation and fragmentation dynamics of inertial particles.** / Zahnow, Jens C.; Vilela, Rafael D.; Feudel, Ulrike; Tél, T.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 80, no. 2, 026311. https://doi.org/10.1103/PhysRevE.80.026311

}

TY - JOUR

T1 - Coagulation and fragmentation dynamics of inertial particles

AU - Zahnow, Jens C.

AU - Vilela, Rafael D.

AU - Feudel, Ulrike

AU - Tél, T.

PY - 2009/8/19

Y1 - 2009/8/19

N2 - Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process in time-periodic incompressible flows. We find that this process approaches an asymptotic dynamical steady state where the average number of particles of each size is roughly constant. We compare the steady-state size distributions corresponding to two fragmentation mechanisms and for different flows and find that the steady state is mostly independent of the coagulation process. While collision rates determine the transient behavior, fragmentation determines the steady state. For example, for fragmentation due to shear, flows that have very different local particle concentrations can result in similar particle size distributions if the temporal or spatial variation in shear forces is similar.

AB - Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process in time-periodic incompressible flows. We find that this process approaches an asymptotic dynamical steady state where the average number of particles of each size is roughly constant. We compare the steady-state size distributions corresponding to two fragmentation mechanisms and for different flows and find that the steady state is mostly independent of the coagulation process. While collision rates determine the transient behavior, fragmentation determines the steady state. For example, for fragmentation due to shear, flows that have very different local particle concentrations can result in similar particle size distributions if the temporal or spatial variation in shear forces is similar.

UR - http://www.scopus.com/inward/record.url?scp=69549131290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69549131290&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.80.026311

DO - 10.1103/PhysRevE.80.026311

M3 - Article

AN - SCOPUS:69549131290

VL - 80

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 2

M1 - 026311

ER -