Chinese Science Bulletin, Volume 62 , Issue 21 : 2428-2441(2017) https://doi.org/10.1360/N972016-00677

Numerical study of the droplet impact onto liquid film on the rough solid surface via lattice Boltzmann method

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  • ReceivedJun 6, 2016
  • AcceptedJun 20, 2016
  • PublishedFeb 9, 2017


The process of the droplet impact onto the liquid film on the rough solid surface, as one of the basic multiphase problems, is very important in many fields of science and engineering. On the other hand, the problem is also very complicated since there are many parameters that may influence the process of the droplet impact on the rough solid surface with a liquid film. Up to now, there are still little research on this problem, and to gain a better understanding on the physical mechanics of the droplet impact onto the film on the rough solid surface, it is desirable to conduct a detailed study. To clearly understand the physical phenomena appearing in the process of droplet impact on the liquid film, a parametric study on this problem is also carried out based on a recently developed lattice Boltzmann method in which a MRT lattice Boltzmann model is used to solve the Navier-Stokes equations, and the other is adopted to solve the Cahn-Hilliard equation that is used to depict the interface between different phases. In this paper, the effects of the relative thickness of film (h), the relative width of cavity (d*) and the relative depth of cavity (L*) on the dynamic behavior of interface are investigated in detail, and the velocity and pressure fields are also presented. In order to reduce the influence of lattice, we fix the lattice to be 600×120 for gas, which is fine enough to give accurate results. In addition, in our simulations, We=500, Re=480, viscosity ratio and density ratio are set to be 2:1. The numerical results first show that, the phenomena of crown and entrainment can be observed obviously during the process of droplet impact onto the liquid film on the rough interface when We and Re are large. The radius of spray (r), which is formed by the droplet impact onto liquid film, is related to time through the relation r/ 2Rα Ut /2R when h is small, which is coincident with the result of droplet impact onto the liquid film on smooth surface, and additionally the coefficient α would decrease with the increase of h. However, this relation seems not accurate for the case with a large h, and simultaneously, the splashing phenomenon has not been observed. Secondly, the relative width of cavity d* plays an important role on the phenomena of splashing. When d*=1, there will be two small droplets through the splashing phenomenon (left half part), then with this parameter increase, the number of small droplet and the point where the splashing occur will also change, and there also are much difference in relation of spray radius and time. Actually, if d* is small, the coefficient α would first decrease and then increase with the increase of d*, while if d*>8, the cavity width would only have a little influence on the behavior of spray. Finally, it is also found that the pressure change near the cavity bottom is small at different L*, that is to say, the relative depth of cavity L* seems to has no apparent effect on the formation of spray, but it brings a great influence on the splashing of spray and the movement of the droplet which is produced in the process of splashing.

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[1] Shakeri S, Chandra S. Splashing of molten tin droplets on a rough steel surface. Int J Heat Mass Transfer, 2002, 45: 4561-4575 CrossRef Google Scholar

[2] Sivakumar D, Katagiri K, Sato T, et al. Spreading behavior of an impacting drop on a structured rough surface. Phys Fluids, 2005, 17: 100608-100608 CrossRef ADS Google Scholar

[3] Xu L, Barcos L, Nagel S R. Splashing of liquids: Interplay of surface roughness with surrounding gas. Phys Rev E, 2007, 76: 066311 CrossRef PubMed ADS Google Scholar

[4] Hu H B, Huang S H, Chen L B. Droplet impact on regular micro-grooved surfaces. Chin Phys B, 2013, 22: 084702 CrossRef ADS Google Scholar

[5] Vander Wal R L, Berger G M, Mozes S D. The combined influence of a rough surface and thin fluid film upon the splashing threshold and splash dynamics of a droplet impacting onto them. Exp Fluids, 2006, 40: 23-32 CrossRef ADS Google Scholar

[6] Kothe D B, Mjolsness R C. RIPPLE - A new model for incompressible flows with free surfaces. AIAA J, 1992, 30: 2694-2700 CrossRef ADS Google Scholar

[7] Frank X, Perré P. Droplet spreading on a porous surface: A lattice Boltzmann study. Phys Fluids, 2012, 24: 042101-042101 CrossRef ADS Google Scholar

[8] Ellis A S, Smith F T, White A H. Droplet Impact on to a Rough Surface. Q J Mech Appl Math, 2011, 64: 107-139 CrossRef Google Scholar

[9] Ding H, Theofanous T G. The inertial regime of drop impact on an anisotropic porous substrate. J Fluid Mech, 2012, 691: 546-567 CrossRef ADS Google Scholar

[10] Wang A B, Chen C C. Splashing impact of a single drop onto very thin liquid films. Phys Fluids, 2000, 12: 2155-2158 CrossRef ADS Google Scholar

[11] Mohamed-Kassim Z, Longmire E K. Drop impact on a liquid–liquid interface. Phys Fluids, 2003, 15: 3263-3273 CrossRef ADS Google Scholar

[12] Guo J H, Dai S Q, Dai Q. Experimental research on the droplet impacting on the liquid film (in Chinese). Acta Phys Sin, 2010, 59: 2602 [郭加宏, 戴世强, 代钦. 液滴冲击液膜过程实验研究. 物理学报, 2010, 59: 2602]. Google Scholar

[13] Xie H, Koshizuka S, Oka Y. Numerical Simulation of Liquid Drop Deposition in Annular-Mist Flow Regime of Boiling Water Reactor. J Nucl Sci Tech, 2004, 41: 569-578 CrossRef Google Scholar

[14] Mukherjee S, Abraham J. Investigations of drop impact on dry walls with a lattice-Boltzmann model. J Colloid Interface Sci, 2007, 312: 341-354 CrossRef PubMed Google Scholar

[15] Passandideh F M. A computational study of droplet impingement onto a thin liquid film. Arab J Sci Eng, 2009, 34: 505–517. Google Scholar

[16] Lee S H, Hur N, Kang S. A numerical analysis of drop impact on liquid film by using a level set method. J Mech Sci Technol, 2011, 25: 2567-2572 CrossRef Google Scholar

[17] Shetabivash H, Ommi F, Heidarinejad G. Numerical analysis of droplet impact onto liquid film. Phys Fluids, 2014, 26: 012102 CrossRef ADS Google Scholar

[18] Wang Y, Shu C, Huang H B, et al. Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio. J Comp Phys, 2015, 280: 404-423 CrossRef ADS Google Scholar

[19] Huang H, Hong N, Liang H, et al. Lattice Boltzmann simulation of the droplet impact onto liquid film (in Chinese). Acta Phys Sin, 2016, 65: 084702 [黄虎, 洪宁, 梁宏, 等. 液滴撞击液膜过程的格子Boltzmann方法模拟. 物理学报, 2016, 65: 084702]. Google Scholar

[20] Liang H, Shi B C, Guo Z L, et al. Phase-field-based multiple-relaxation-time lattice Boltzmann model for incompressible multiphase flows. Phys Rev E, 2014, 89: 053320 CrossRef PubMed ADS Google Scholar

[21] Guo Z L, Zheng C G. Theory and Applications of Lattice Boltzmann Method (in Chinese). Beijing: Science Press, 2009. 63 [郭照立, 郑楚光. 格子Boltzmann方法的原理及应用. 北京: 科学出版社, 2009. 63]. Google Scholar

[22] Huang J J, Huang H, Wang X. Wetting boundary conditions in numerical simulation of binary fluids by using phase-field method: some comparative studies and new development. Int J Numer Meth Fluids, 2015, 77: 123-158 CrossRef ADS Google Scholar

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