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强激波作用下不同形状液滴破碎数值模拟研究

NUMERICAL SIMULATION STUDY ON THE FRAGMENTATION OF DIFFERENTLY SHAPED DROPLETS UNDER STRONG SHOCK WAVES

  • 摘要: 燃料液滴的变形与破碎是超燃冲压发动机中的一个重要问题, 研究高马赫数激波与液滴相互作用的过程破碎规律具有十分重要的工程意义. 基于扩散界面可压缩四方程多相流模型, 针对高马赫数条件下激波-液滴相互作用过程展开了一系列数值模拟研究. 我们主要考察了不同外形液滴, 包括球形, 扁盘形, 橄榄形等, 采用纵横比和球形度作为液滴外形定量形状参数, 探究了波系演化结果, 液滴界面变形与破碎效果. 为探究激波-液滴高马赫数下的破碎模式, 我们首先对标准球形液滴进行了程序正确性测试, 随后进一步研究了不同外形液滴在激波作用下的界面演化和破碎模式. 模拟结果表明, 同一高马赫数激波下(Ma > 3), 非球形液滴的界面演化复杂度, 破碎程度与其平行于激波面的主轴长, 沿激波传播方向的展长深度有关. 当液滴“主轴”与激波面平行, 不同形状液滴界面演化相似, 当液滴“主轴”垂直激波面, 橄榄形液滴出现了较为明显的挤压现象, 出现的破碎程度最为微弱. 此外还进行了大马赫数条件下(Ma = 5,7,9,10)的激波数值模拟, 结果证明了“毁灭”形剪切诱导剥离(shear-induced entrainment, SIE)破碎机制的存在, 高韦伯数是其形成和发展的必要条件, 为进一步激波-液滴研究提供了数值模拟基础和判据.

     

    Abstract: The deformation and breakup of fuel droplets play a critical role in scramjet engines, and understanding the breakup mechanisms induced by high-Mach-number shock–droplet interactions is of great engineering significance. In this work, a series of numerical simulations are carried out to investigate the interaction between shock waves and liquid droplets under high-Mach-number conditions (Ma > 3). A dissipative-interface compressible four-equation multiphase flow model is employed to describe the shock–droplet interaction process and the associated multiphase flow evolution. Droplets with different initial shapes, including spherical, disk-like, and olive-shaped configurations, are considered in the present simulations. The initial droplet geometry is quantitatively characterized by the aspect ratio and sphericity, so that the influence of non-spherical geometry on the shock-induced deformation and breakup process can be systematically examined. Based on these parameters, the evolution of shock-induced wave structures, interfacial deformation, and breakup behavior is analyzed in detail. To further elucidate the breakup modes occurring under high-Mach-number conditions, additional simulations are conducted for a standard spherical droplet. The numerical results indicate that, under the same high-Mach-number shock loading, both the complexity of interfacial evolution and the breakup intensity of non-spherical droplets are strongly dependent on the shock-facing aspect ratio and the degree of droplet elongation along the shock propagation direction. When the major axis of the droplet is parallel to the shock front, droplets with different initial shapes exhibit similar characteristics in their interfacial evolution. In contrast, when the major axis is oriented normal to the shock front, the olive-shaped droplet exhibits more pronounced volumetric accumulation and experiences the weakest breakup among all the configurations considered. Furthermore, our simulations at higher Mach numbers(Ma = 5,7,9,10) confirm the existence of a catastrophic shear-induced entrainment(SIE) breakup mechanism. The results demonstrate that a high Weber number is a necessary condition for the initiation and development of this breakup mode, providing a numerical foundation and relevant criteria for further investigations of shock–droplet interactions.

     

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