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SPH modeling of droplet impact on solid boundary

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Abstract

A droplet undergoes spreading, rebounding or splashing when it impacts solid boundary, which is a typical phenomenon of free surface flow that exists widely in modern industry. Smoothed particle hydrodynamics (SPH) method is applied to numerically study the dynamical behaviors of the droplet impacting solid boundary, and both the spreading and rebounding phenomena of the droplet are reproduced in the simulation. The droplet deformation, flow fields and pressure fields inside the droplet at different moments are analyzed. Two important factors, the initial velocity and diameter, are discussed in determining the maximum spreading factor, revealing that the maximum spreading factor increases with the increase of the impact velocity and droplet diameter respectively.

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References

  1. Shi Mingheng. Behavior of a liquid droplet impinging on a solid surface[J]. Acta Mechanica Sinica, 1985, 17(5): 419–425 (in Chinese).

    Google Scholar 

  2. Kim H Y, Chun J H. The recoiling of liquid droplets upon collision with solid surfaces[J]. Physics of Fluids, 2000, 13(3): 643–659.

    Article  Google Scholar 

  3. He Zheng, Gao Ye, Gu Xuan et al. Investigating a dropletwall collision model[J]. Journal of Harbin Engineering University, 2009, 30(3): 267–270 (in Chinese).

    Google Scholar 

  4. Zhang Xiaoguang, Basaran Osman A. Dynamic surface tension effects in impact of a drop with a solid surface[J]. Journal of Colloid and Interface Science, 1997, 187(1): 166–178.

    Article  Google Scholar 

  5. Pasandideh Fard M, Qiao Y M, Chandra S et al. Capillary effects during droplet impact on a solid surface[J]. Physics of Fluids, 1996, 8(3): 650–659.

    Article  Google Scholar 

  6. Fujimoto Hitoshi, Shiotani Yu, Tong Albert Y et al. Threedimensional numerical analysis of the deformation behavior of droplets impinging onto a solid substrate[J]. International Journal of Multiphase Flow, 2007, 33(3): 317–332.

    Article  Google Scholar 

  7. Shen Shengqiang, Li Yan, Guo Yali. Numerical simulation of droplet impacting on isothermal flat solid surface[J]. Journal of Engineering Thermophysics, 2009, 30(12): 2116–2118 (in Chinese).

    Google Scholar 

  8. Castrejón-Pita J R, Betton E S, Kubiak K J et al. The dynamics of the impact and coalescence of droplets on a solid surface[J]. Biomicrofluidics, 2011, 5(1): 014112.

    Article  Google Scholar 

  9. Sehgal B R, Nourgaliev R R, Dinh T N. Numerical simulation of droplet deformation and break-up by lattice Boltzmann method[J]. Progress in Nuclear Energy, 1999, 34(4): 471–488.

    Article  Google Scholar 

  10. Quan Shenglin, Li Shuang, Li Weizhong et al. A simulation of impact of droplets on solid surfaces by using the Lattice Boltzmann method[J]. Chinese Journal of Computational Mechanics, 2009, 26(5): 627–631 (in Chinese).

    Google Scholar 

  11. Li Daming, Xu Yanan, Li Lingling et al. Tracking methods for free surface and simulation of a liquid droplet impacting on a solid surface based on SPH[J]. Journal of Hydrodynamics, 2011, 23(4): 447–456.

    Article  Google Scholar 

  12. Tartakovsky Alexandre, Meakin Paul. Modeling of surface tension and contact angles with smoothed particle hydrodynamics[ J]. Physical Review E, 2005, 72(2): 026301.

    Article  Google Scholar 

  13. Li Qiang, Cai Timin, He Guoqiang et al. Droplet collision and coalescence model[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(1): 67–73.

    Article  MATH  MathSciNet  Google Scholar 

  14. Ma Li, Tao Weiming, Guo Yimu et al. Elastic/plastic impact simulation of water jet using smoothed particle hydrodynamics and finite element method[J]. Journal of Zhejiang University (Engineering Science), 2008, 42(2): 259–263 (in Chinese).

    MATH  Google Scholar 

  15. Fang H S, Bao K, Wei J A et al. Simulations of droplet spreading and solidification using an improved SPH model[J]. Numerical Heat Transfer, Part A, 2009, 55(2): 124–143.

    Article  Google Scholar 

  16. Liu M B, Chang J Z, Liu H T et al. Modeling of contact angles and wetting effects with particle methods[J]. International Journal of Computational Methods, 2011, 8(4): 637–651.

    Article  MathSciNet  Google Scholar 

  17. Qiang Hongfu, Liu Kai, Chen Fuzhen. Numerical implementation of deformation and motion of droplet at the interface between vapor and solid surface with smoothed particle hydrodynamics methodology[J]. Acta Physica Sinica, 2012, 61(20): 204701 (in Chinese).

    Google Scholar 

  18. Su Tiexiong, Ma Liqiang, Liu Moubin et al. A numerical analysis of drop impact on solid surfaces by using smoothed particle hydrodynamics method[J]. Acta Physica Sinica, 2013, 62(6): 064702 (in Chinese).

    Google Scholar 

  19. Liu G R, Liu M B. Smoothed Particle Hydrodynamics: A Meshfree Particle Method[M]. World Scientific, Singapore, 2003.

    Google Scholar 

  20. Li Daming, Li Xiaoyu, Lin Yi. Numerical simulation of droplet impacting liquid surface by SPH[J]. Science China: Technological Sciences, 2011, 54(7): 1873–1880.

    Article  MATH  Google Scholar 

  21. Li Yan. Numerical Simulation on Dynamics of Droplet Impacting on Flat Hot Solid Surface[D]. Dalian University of Technology, Dalian, China, 2008. 35–39 (in Chinese).

    Google Scholar 

  22. Mao Ted, Kuhn David C S, Tran Honghi. Spread and rebound of liquid droplets upon impact on flat surfaces[J]. AIChE Journal, 1997, 43(9): 2169–2179.

    Article  Google Scholar 

Download references

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Correspondence to Daming Li  (李大鸣).

Additional information

Supported by the National Natural Science Foundation of China(No. 51079095) and the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (No. 51021004).

Li Daming, born in 1957, male, Dr, Prof.

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Li, D., Bai, L., Li, L. et al. SPH modeling of droplet impact on solid boundary. Trans. Tianjin Univ. 20, 112–117 (2014). https://doi.org/10.1007/s12209-014-2179-9

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  • DOI: https://doi.org/10.1007/s12209-014-2179-9

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