Droplet Collision and Coalescence Model
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摘要: 建立了描述液滴碰撞和聚合过程的数学模型,设计了一种高效的计算液滴碰撞对搜索算法,并在已有研究成果的基础上对液滴碰撞的结果做了进一步的发展.借助平滑粒子流体动力学方法两种实现方式各自的优点,将液滴间的相互作用局限在其周围一定数目的液滴之间,并采用积分核函数定义了液滴间碰撞的概率,通过数值模拟探讨了模型的特性.结果表明,所建模型对所采用的计算网格没有明显的依赖性,具有较高的计算精度和计算效率,不但能很好地维持系统动量的守恒性,而且对液滴初始尺寸分布没有明显的依赖性.Abstract: A new droplet collision and coalescence model was presented,a quick_sort method for locating collision partners was also devised and based on theoretical and experimental results,further advancement was made to the droplet collision outcome.The advantages of the two implementations of SPH method were used to limit the collision of droplets to a given number of nearest droplets and define the probability of coalescence,numerical simulations were carried out for model validation. Results show that the model presented is mesh_independent and less time consuming,it can not only maintain the system momentum conservation perfectly,but not susceptible to initial droplet size distri bution as well.
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Key words:
- liquid spray /
- droplet /
- collision and coalescence /
- mathematical model
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[1] Kitron A,Elperin T,Tamir A.Stochastic modeling of the effects of the liquid droplet collisions in impinging streams absorbers and combustors[J].Int J Multiphase Flow,1991,17(2):274—282. [2] Marion G,Dicharry C,Mendibourne B.Contribution of the modelization of the surfactant concentration influence on droplet size distribution in oil/water emulsion[J].Progress in Collid & Polymer Science,1993,21(25):307—311. [3] O'Rourke P J.Collective drop effects on vaporizing liquid sprays[D].Ph D dissertation.Department of Mechanical and Aerospace Engineering.Princeton University,1981. [4] Asheim J P,Peters J E.Modeling of a hollow-cone liquid spray including droplet collisions[J].J Propalsion,1988,144(5):231—238. [5] Bird G A.Molecular Gas Dynamics[M].Oxford:Clarendon Press,1994,167—172. [6] Schmidt,David P,Rutland C J.A new droplet collision algorithm[J].Journal of Computational Physics,2000,164(7):62—80. doi: 10.1006/jcph.2000.6568 [7] Monaghan J J,Gingold R A.Shock simulation by the particle method sph[J].Journal of Computational Physics,1983,374(52):82—96. [8] Btazier-Smith P R,Jennings S G,Latham J.The interaction of falling water droplets: coalescence[J].Proc R Soc Lond,1972,326(2):642—648. [9] Jayaratne O,Mason B.The coalescence and bouncing of water drops at an air/water interface[J].Proc R Soc Lond,1974,380(5):218—242. [10] 李宇飞.火箭基组合循环发动机性能研究[D].硕士论文.西安:西北工业大学,2003,42—44.
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