A Birth-Death Process Model on Collision and Coalescence of Drops in Gas/Drop Flows

DOI

10.2991/eame-15.2015.211How to use a DOI?

Keywords

gas/drop two-phase flows; droplet; collision and coalescence; birth-death process

Abstract

To analyze the change of droplets number caused by collision and coalescence in gas/droplet two-phase flows, a stochastic model was established, in which the collision probability of two drops with different sizes was derived and the stochastic process theory was introduced to describe the change of drops number when the phenomenon of collision and coalescence takes place. By considering the immigration and emigration and collision of the droplets located at a fixed region, it was found that the number of drops is a birth death process, and the relevant model equation was derived. The stationary distribution and its mean value were obtained by analyzing the number characteristic of the birth-death process. These results are helpful to explain the mass exchange between drop classes in gas/drop two phase flows.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - S.S. Xue
AU  - M. Xu
PY  - 2015/07
DA  - 2015/07
TI  - A Birth-Death Process Model on Collision and Coalescence of Drops in Gas/Drop Flows
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 782
EP  - 785
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.211
DO  - 10.2991/eame-15.2015.211
ID  - Xue2015/07
ER  -