The natural vortex length is a complex turbulent dynamic phenomenon of cyclone separator, which can provide reference for the height design. It is calculated by the axial distance between the vortex end and the bottom of vortex finder. At present, scholars mainly attribute the influencing factors of natural vortex length to cylinder diameter, inlet area and vortex finder diameter, ignoring the influence of other structural parameters and operating parameters, so the accuracy and applicability of empirical formula are poor. This study described the mechanism of the vortex end and analyzed the PVC phenomenon. Then, an example was provided to illustrate the limitations and shortcomings of empirical formula. In addition, the influences of some geometric parameters and operating parameters on natural vortex length were summarized. Therefore, this work could provide an important reference for design optimization of cyclone separator height.

中文翻译：

---

旋风分离器自然涡长复杂湍流动力学现象研究进展

自然涡长度是旋风分离器复杂的湍流动力学现象，可为旋风分离器的高度设计提供参考。由涡端与涡流探测器底部之间的轴向距离计算。目前，学者们主要将自然涡长度的影响因素归因于筒体直径、入口面积和涡流管直径，忽略了其他结构参数和运行参数的影响，因此经验公式的准确性和适用性较差。本研究描述了涡流末端的机理并分析了 PVC 现象。然后，举例说明了经验公式的局限性和不足。此外，还总结了一些几何参数和运行参数对自然涡长度的影响。所以，