液滴碰撞和聚合模型研究  

Droplet Collision and Coalescence Model

作　　者：李强[1] 蔡体敏[1] 何国强[1] 胡春波[1] 

机构地区：[1]西北工业大学航天学院,西安710072

出　　处：《应用数学和力学》2006年第1期60-66,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50376054);航空科学基金资助项目(03c53021)

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.A new droplet collision and coalescence model was presented,a quick-sort method for locaring 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 distribution as well.

关 键 词：液雾 液滴 碰撞和聚合 数学模型 

分 类 号：V430[航空宇航科学与技术—航空宇航推进理论与工程]