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基于格子Boltzmann方法的液滴撞击粗糙壁面上液膜过程的数值

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

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【作者】 黄虎洪宁崔淑琪施保昌柴振华

【Author】 HUANG Hu;HONG Ning;CUI ShuQi;SHI BaoChang;CHAI ZhenHua;School of Mathematics and Statistics,Huazhong University of Science and Technology;School of Information and Engineering,Wuchang University of Technology;State Key Laboratory of Coal Combustion,Huazhong University of Science and Technology;

【机构】 华中科技大学数学与统计学院武昌理工学院信息工程学院华中科技大学煤燃烧国家重点实验室

【摘要】 采用格子Boltzmann方法对液滴撞击粗糙壁面上液膜的过程进行了研究,主要考察了相对液膜厚度h、相对凹槽宽度d*、相对凹槽深度L*等物理参数对界面运动过程的影响.首先,当h较小时,由液滴溅起形成的水花半径r随时间满足r/2R≈αUt/2R1/2的关系,且随着相对液膜厚度h的增大,系数a变小,但当h较大时,该关系式不能很好地描述水花半径的增长过程,且水花的飞溅现象消失.其次,相对凹槽宽度d*对水花的形成及飞溅也会产生重要影响,当d*较小时,随着d*的增大,系数a先减小再增大,当d*>8时凹槽宽度的增加对水花半径的变化影响较小.最后,相对凹槽深度L*对水花的形成影响较小,但对水花的飞溅现象影响较大.

【Abstract】 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/2R≈αUt/2R1/2 when h is small, which is coincident with the result of droplet impact onto the liquid film on smooth surface, and additionally the coefficient a 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 a 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.

【基金】 国家自然科学基金(51576079,11272132);湖北省自然科学基金(2015CFB440)资助
  • 【文献出处】 科学通报 ,Chinese Science Bulletin , 编辑部邮箱 ,2017年21期
  • 【分类号】O35
  • 【被引频次】2
  • 【下载频次】271
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