SPH modeling of droplet impact on solid boundary

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.

Keywords

SPH model / droplet impact / solid boundary / maximum spreading factor

References

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

[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.

[3] He Z, Gao Y, Gu X, et al. Investigating a dropletwall collision model[J]. Journal of Harbin Engineering University, 2009, 30(3): 267-270.

[4] Zhang X, Basaran O 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.

[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.

[6] Fujimoto H, Shiotani Y, 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.

[7] Shen S, Li Y, Guo Yali. Numerical simulation of droplet impacting on isothermal flat solid surface[J]. Journal of Engineering Thermophysics, 2009, 30(12): 2116-2118.

[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

[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.

[10] Quan S, Li S, Li W, 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.

[11] Li D, Xu Y, Li L, 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.

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

[13] Li Q, Cai T, He G, et al. Droplet collision and coalescence model[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(1): 67-73.

[14] Ma L, Tao W, Guo Y, 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.

[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.

[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.

[17] Qiang H, Liu K, 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

[18] Su T, Ma L, Liu M, 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

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

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

[21] Li Yan. Numerical Simulation on Dynamics of Droplet Impacting on Flat Hot Solid Surface[D]. 2008, Dalian, China: Dalian University of Technology 35-39.

[22] Mao T, 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.