Skip to main content
SpringerLink
Log in

Numerical investigation of off-centre binary collision of droplets in a horizontal channel

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

The collision between two off-centre water droplets in horizontal channels is investigated. Three-dimensional simulations are performed for fully developed, laminar, unsteady and incompressible flow. Volume of Fluid (VOF) computational method is used to calculate the fluid flow. The first droplet is separated from the channel wall and the second one moves by the flow in the center of the channel. The effects of Weber number, Reynolds number, density ratio, viscosity ratio, the ratio of droplet size and impact factor on the elongation and maximum velocity of droplets are investigated after coalescence. A correlation coefficient is obtained for elongation according to the dimensionless parameters. The results show that the elongation curve is sinusoidal due to the tendency of droplets to achieve a spherical shape. The velocity of droplets before collision relative to the velocity of droplets after coalescence is twice.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Ashgriz N, Givi P (1989) Coalescence efficiencies of fuel droplets in binary collisions. Int Commun Heat Mass Transfer 16:11–20

    Article  Google Scholar 

  2. Hyun J, Hwang W, Chongyoup (2012) Numerical simulations of the impact and spread in of a particulate droplet on a solid substrate. Model Simul Eng 21:1–10

    Google Scholar 

  3. Bayareh M, Mortazavi S (2009) Numerical simulation of the motion of a single drop in a shear flow at finite Reynolds numbers. Iran J Sci Technol Transact B Eng 33:441–452

    Google Scholar 

  4. Bayareh M, Mortazavi S (2013) Equilibrium position of a buoyant drop in Couette and Poiseuille flows at finite Reynolds numbers. J Mech 20:53–58

    Article  Google Scholar 

  5. Krause F, Li X, Fritsching U (2011) Simulation of droplet-formation and interaction in emulsification processes. Eng Appl Comput Fluid Mech 5:406–415

    Google Scholar 

  6. Qian J, Law CK (1997) Regimes of coalescence and separation in droplet collision. J Fluid Mech 331:59–80

    Article  Google Scholar 

  7. Wierzba A (1990) Deformation and breakup of liquid droplets in a gas stream at nearly critical Weber numbers. Exp Fluids 9:59–64

    Article  Google Scholar 

  8. Ashgriz N, Poo JP (1990) Coalescence and separation in binary collisions of liquid droplets. J Fluid Mech 221:183–204

    Article  Google Scholar 

  9. Seevaratnam GK, Ding H, Michel O, Heng JYY, Matar OK (2010) Laminar flow deformation of a droplet adhering to a wall in a channel. Chem Eng Sci 65:4523–4924

    Article  Google Scholar 

  10. Renardy Y (2007) The effects of confinement and inertia on the production of droplets. Rheol Acta 46:521–529

    Article  Google Scholar 

  11. Kékesi T, Amberg G, Wittberg L (2014) Droplet deformation and breakup. Int J Multiph Flow 66:1–10

    Article  Google Scholar 

  12. Ioannou N, Liu H, Zhang YH (2016) Droplet dynamics in confinement. J Comput Sci 17:463–474

    Article  MathSciNet  Google Scholar 

  13. Feigl K, Tanner F, Holzapfel S, Windhab E (2014) Effect of flow type, channel height, and viscosity on droplet production from micro-pores. Chem Eng Sci 116:372–382

    Article  Google Scholar 

  14. Bayareh M, Mortazavi S (2011) Effect of density ratio on the hydrodynamic interaction between two drops in simple shear flow. Iran J Sci Technol Transact B Eng 35:121–132

    MATH  Google Scholar 

  15. Bayareh M, Mortazavi S (2011) Binary collision of drops in simple shear flow at finite Reynolds numbers: geometry and viscosity ratio effects. Adv Eng Softw 42:604–611

    Article  MATH  Google Scholar 

  16. Nobari MRH, Tryggvason G (1996) Numerical simulation of three-dimensional droplet collisions. Am Instit Aeronaut Astronaut 34(4):750–755

    Article  Google Scholar 

  17. Melean Y, Sigalotti LDG (2005) Coalescence of colliding van der Waals liquid droplets. Int J Heat Mass Transf 48:4041–4061

    Article  MATH  Google Scholar 

  18. Nikolopoulos N, Theodorakakos A, Bergeles G (2009) Off-centre binary collision of droplets: a numerical investigation. Int J Heat Mass Transf 52:4160–4174

    Article  MATH  Google Scholar 

  19. Saroka MD, Ashgriz N, Movassat M (2012) Numerical investigation of head-on binary droplet collisions in a dynamically inert environment. J Appl Fluid Mech 5:23–37

    Google Scholar 

  20. Krishnan KG, Loth E (2015) Effects of gas and droplet characteristics on droplet-droplet collision outcome regimes. Int J Multiph Flow 77:171–186

    Article  MathSciNet  Google Scholar 

  21. Ahmadi Nadooshan A, Shirani E (2008) Interface pressure model for surface tension force for VOF-based methods in interfacial flows. Eng Appl Comput Fluid Mech 2(4):496–513

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Engineering, Shahrekord University, Shahrekord, Iran

    Z. Goodarzi, Afshin Ahmadi Nadooshan & M. Bayareh

Authors
  1. Z. Goodarzi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Afshin Ahmadi Nadooshan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Bayareh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Afshin Ahmadi Nadooshan.

Additional information

Technical Editor: Jader Barbosa Jr.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Goodarzi, Z., Ahmadi Nadooshan, A. & Bayareh, M. Numerical investigation of off-centre binary collision of droplets in a horizontal channel. J Braz. Soc. Mech. Sci. Eng. 40, 156 (2018). https://doi.org/10.1007/s40430-018-1075-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-018-1075-y

Keywords

Search

Navigation