Computational fluid dynamics (CFD) simulations of multi-lobe progressive cavity (PC) pumps are limited in the literature due to the geometric complexity of the pump, which places numerous restrictions on the grid generation process. The present study attempts to alleviate such restrictions by developing a detailed numerical procedure for the numerical simulations of multi-lobe progressive cavity pumps. The profile equations for the multi-lobe configuration at any section at each instant of rotation are presented. A structured grid generation method is developed to generate mesh files required for CFD simulations of multi-lobe PC pumps. Results from the present procedure are validated against single-lobe PC pump numerical results available in the literature. Finally, a numerical parametric study is carried out to investigate the effect of the number of lobes, the stator pitch, the circular fillet and clearance on the volumetric efficiency of PC pumps with viscous oils.

中文翻译：

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多叶渐进腔泵的粘性流动模拟

多叶渐进腔（PC）泵的计算流体动力学（CFD）模拟由于泵的几何复杂性而受到文献的限制，这对网格生成过程造成了许多限制。本研究试图通过为多叶渐进腔泵的数值模拟开发详细的数值程序来减轻这种限制。给出了在每个旋转时刻的任何部分的多瓣配置的轮廓方程。开发了一种结构化网格生成方法，以生成多叶PC泵的CFD模拟所需的网格文件。根据单瓣PC泵数值结果（可从文献中获得）验证了本程序的结果。最后，