Skip to main content
Log in

Droplet collision and coalescence model

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A new droplet collision and coalescence model was presented, a quick-sort method for locating collision partners was also devised and based on theoretical and experimental results, further advancement was made to the droplet collision outcome. The advantages of the two implementations of smoothed particle hydrodynamics (SPH) method were used to limit the collision of droplets to a given number of nearest droplets and define the probability of coalescence, numerical simulations were carried out for model validation. Results show that the model presented is mesh-independent and less time consuming, it can not only maintains the system momentum conservation perfectly, but not susceptible to initial droplet size distribution as well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kitron A, Elperin T, Tamir A. Stochastic modeling of the effects of the liquid droplet collisions in impinging streams absorbers and combustors[J]. Int J Multiphase Flow, 1991, 17(2): 274–282.

    Article  Google Scholar 

  2. Marion G, Dicharry C, Mendibourne B. Contribution of the modelization of the surfactant concentration influence on droplet size distribution in oil/water emulsion[J]. Progress in Collid and Polymer Science, 1993, 21(25): 307–311.

    Google Scholar 

  3. O’Rourke P J. Collective Drop Effects on Vaporizing Liquid Sprays[D]. Ph D Dissertation, Department of Mechanical and Aerospace Engineering, Princeton University, 1981.

  4. Asheim J P, Peters J E. Modeling of a hollow-cone liquid spray including droplet collisions[J]. J Propalsion, 1988, 144(5): 231–238.

    Google Scholar 

  5. Bird G A. Molecular Gas Dynamics[M]. Clarendon Press, Oxford, 1994, 167–172.

    Google Scholar 

  6. Schmidt, David P, Rutland C J. A new droplet collision algorithm[J]. Journal of Computational Physics, 2000, 164(7): 62–80.

    Google Scholar 

  7. Monaghan J J, Gingold R A. Shock simulation by the particle method SPH[J]. Journal of Computational Physics, 1983, 52:374–389.

    Article  Google Scholar 

  8. Btazier-Smith P R, Jennings S G, Latham J. The interaction of falling water droplets: coalescence[J]. Proc R Soc Lond, 1972, 326(2):642–648.

    Google Scholar 

  9. Jayaratne O, Mason B. The coalescence and bouncing of water drops at an air/water interface[J]. Proc R Soc Lond, 1974, 380(5):218–242.

    Google Scholar 

  10. Li Yufei. Study of RBCC[M]. Master thesis, Northwestern Polytechnical University, 2003, 42–44(in Chinese).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Qiang  (李强).

Additional information

Project supported by the National Natural Science Foundation of China (No.50376054) and the Aerospace Science Foundation (No.03c53021)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Q., Cai, Tm., He, Gq. et al. Droplet collision and coalescence model. Appl Math Mech 27, 67–73 (2006). https://doi.org/10.1007/s10483-006-0109-1

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-0109-1

Key words

Navigation