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声悬浮液滴失稳模式分布相图构建与统计分析

Construction and Statistical Analysis of the Phase Diagram for Acoustically Levitated Droplets Instability Patterns

  • 摘要: 为探究声悬浮液滴失稳模式与声学控制参数之间的定量关联,本文在单轴驻波声场中进行液滴失稳实验,构建了以韦伯数(We)、奥内佐格数(Oh)及液滴体积(Volume)为特征参数的相图。通过改变液体物性参数与初始体积,实现了不同条件下的液滴雾化与变形演化,并观察到边缘飞溅雾化、中心喷泉雾化及成泡等典型失稳模式。基于实验数据建立 We–Oh–Volume 三参数统计判别模型,并采用分层抽样方式划分训练集与测试集进行性能评估。结果表明,不同失稳模式在参数空间内呈现明显分区特征;所构建的多分类逻辑回归模型在测试集上的整体分类准确率为 82.2%,能够较好实现模式预测。本研究结果为声悬浮液滴失稳行为的判定及声场雾化调控提供了实验依据。

     

    Abstract: To investigate the quantitative relationship between the instability patterns of acoustically levitated droplets and acoustic control parameters, systematic experiments on droplet instability were conducted in a single-axis standing-wave acoustic field. Phase diagrams were constructed using the Weber number (We), Ohnesorge number (Oh), and droplet volume (V) as characteristic parameters. By varying the physical properties and initial volumes of the liquids, droplet atomization and deformation evolution under different conditions were observed, yielding three typical instability patterns: edge splashing atomization, central fountain atomization, and bubble formation. Based on the experimental data, a three-parameter statistical discrimination model—We–Oh–V—was established; training and test sets were partitioned using stratified sampling for performance evaluation. Results demonstrate that the different instability patterns exhibit distinct zoning characteristics in the parameter space. The constructed multiclass logistic regression model achieves an overall classification accuracy of 82.2% on the test set, demonstrating reliable pattern prediction capability. This study provides experimental evidence for identifying instability behaviors of acoustically levitated droplets and for regulating atomization in acoustic fields.

     

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