基于激光摄像测量和Voronoï方法的中斯托克斯数载粒子射流介尺度结构和粒子体积分数分析

Mesoscale structure and particle concentration analysis of middle Stokes number particle-laden jet based on laser-camera measurement and Voronoï method

  • 摘要: 为了解中斯托克斯数载粒子射流(middle-Stokes-number particle-laden jet, MSPJ)的介尺度结构特征,以及尺度无关的粒子体积分数演变规律,并验证基于自相似理论的粒子体积分数模型对MSPJ的适用性,搭建了专用的激光摄像测量实验台,开展了6个组别的激光摄像测量实验。使用Voronoï方法和尺度无关的粒子簇表征方法分析了粒子簇的特征尺度以及空间尺度无关的粒子浓度。结果表明,MSPJ的粒子簇集呈动态稳定特性,随着斯托克斯数向接近1的方向由大逐渐减小,粒子优先集聚效应逐渐趋于明显。粒子簇的长轴是主要特征尺寸,大粒子簇表现出更不规则的形状,小粒子簇形状更接近圆形,且遵循渗透理论的幂律分布。射流的粒子体积分数呈现出中心高边缘低的分布趋势,其中心线上的粒子浓度随着逐渐远离喷嘴先减小后增大,归因于射流远端的粒子速度衰减,上游的高速粒子追赶下游低速粒子,粒子逐渐积累。不同射流的粒子分布和簇集均呈自相似性。粒子体积分数模型的验证结果表明ηCθ3的值因气流湍流而变化。研究结果可为射流燃烧系统的性能和效率提高提供优化基础。

     

    Abstract: To investigate the mesoscale structure characteristics of the middle-Stokes-number particle-laden jet (MSPJ) and the evolution law of scale-independent particle volume fraction, as well as to assess the applicability of a particle volume fraction model based on the self-similarity theory to MSPJ, we have established a specialized laser-camera measurement setup and conducted six groups of experiments. The characteristic scale and spatial scale-independent particle concentration are analyzed using the Voronoï method and the scale-independent particle cluster characterization method. The results indicate that the particle clusters in MSPJ exhibit a dynamic stability. As the Stokes number decreases from a large value to 1, the preferential concentration of particles becomes more pronounced. The long axis of the particle cluster serves as the primary characteristic size. Larger clusters display more irregular shapes, while smaller clusters appear to be circular and adhere to the power-law distribution described by the osmosis theory. The particle volume fraction of the jet reveals a distribution pattern characterized by a higher concentration at the center and lower concentrations at the edges. Along the jet centerline, the particle concentration initially decreases and then increases as one moves away from the nozzle. This phenomenon is attributed to the decay of particle velocity at the jet’s far end, where high-velocity particles from upstream catch up with lower-velocity particles downstream, leading to gradual accumulation. Validation of the particle volume fraction model demonstrates that the value of ηCθ3 is influenced by turbulence. The particle distributions and clusters of different jets are self-similar. These findings provide a valuable foundation for enhancing the performance and efficiency of jet combustion systems.

     

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