Data for: Entrance effects in a radial Hele-Shaw cell: numerical and experimental study

Hele-Shaw cells are a frequently used tool in various fields of chemical technology, and in environmental and biomedical engineering. The flow conditions near the inlet of a radial Hele-Shaw cell significantly affect the outcome of its technological applications. The present work combines Computational Fluid Dynamics (CFD) and micro-Particle Image Velocimetry (μPIV) to explain the entrance phenomena, i.e. flow detachment and vortex generation, in radial Hele-Shaw cells. The experiments show that the flow detachment is determined by the inlet flow Reynolds number, Re. Two-dimensional numerical simulations were employed to further investigate the role of the gap width, w to inlet diameter, D aspect ratio, w/D. The resulting flow regime map is divided by a transitional Re number, Ret, that depends on the aspect ratio. A further parametric study examining how Re and the aspect ratio affect the reattachment length yields an empirical correlation in power-law form. Finally, the impact of the inlet's geometrical features is briefly examined. The current work can be used as a design guide for future radial HS engineering applications.

亥姆霍兹-肖池（Hele-Shaw cells）是化学技术各分支、环境工程与生物医学工程领域中常用的实验装置。径向亥姆霍兹-肖池入口附近的流动状态，对其工程应用的最终效果具有显著影响。本研究结合计算流体动力学（CFD）与显微粒子图像测速技术（μPIV），对径向亥姆霍兹-肖池内的入口流动现象——即流动分离与涡旋生成——展开了系统阐释。实验结果表明，流动分离由入口流动雷诺数（Re）直接决定。本研究采用二维数值模拟方法，进一步探究了槽隙宽度w与入口直径D的比值（即长径比w/D）的作用机制。所得流动状态图谱由依赖于长径比的过渡临界雷诺数（Ret）划分为不同区域。后续的参数化研究考察了雷诺数与长径比对再附长度的影响，最终推导得到幂律形式的经验关联式。最后，本研究还简要探讨了入口几何特征对流动的影响。本研究成果可作为未来径向亥姆霍兹-肖池工程应用的设计参考依据。