A generalized lumped-parameter model for analyzing external gear machines with shear-thinning operating fluids

IF 2.8 2区工程技术 Q2 MECHANICS

Journal of Non-Newtonian Fluid Mechanics Pub Date : 2025-07-20 DOI:10.1016/j.jnnfm.2025.105470

Austin Zapata , Andrea Vacca , Rich Diemar , Mark Hamersky , David Oertel

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引用次数: 0

Abstract

External gear machines are frequently used to transport non-Newtonian fluids in high pressure applications. However, a coexistence of low viscosity and significant shear thinning can present pumping challenges for off-the-shelf EGM designs. These difficulties arise in part due to the effects of viscoelasticity on the displacing action of the pump and the internal flow leakages. Previous studies have focused on three-dimensional CFD, but limited work has been done on a simulation tool for these effects which considers the radial micromotions of the gears. In this work, a fast lumped-parameter model for the simulation of external gear machines with non-Newtonian operating fluids is developed by dividing the pump into several control volumes and flow paths between them. A method of estimating flow for non-Newtonian fluid models is proposed as well as a novel Reynolds-type equation, and both are implemented within the model. The article then proceeds to compare the mean flow and pressure ripple predicted by this model with experiments to validate the methodology. The mean relative error of the model for the steady-state flowrate prediction is found to be 1.5 % and that of the amplitude prediction for the transient pressure ripple response is found to be 7.4 %. Finally, the results of the model are discussed and conclusions are drawn.

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具有剪切变薄工作流体的外齿轮机的广义集总参数模型

外啮合齿轮机经常用于输送非牛顿流体在高压应用。然而，低粘度和显著剪切变薄的共存给现成的EGM设计带来了挑战。出现这些困难的部分原因是粘弹性对泵的驱替作用和内部流动泄漏的影响。以前的研究主要集中在三维CFD上，但是在考虑齿轮径向微运动的这些影响的模拟工具上做了有限的工作。本文通过将泵划分为若干控制容积和控制容积之间的流道，建立了一种用于非牛顿工作流体外啮合齿轮机仿真的快速集总参数模型。提出了一种非牛顿流体模型的流量估计方法和一种新的雷诺方程，并在模型内实现。然后，将该模型预测的平均流量和压力脉动与实验进行比较，以验证该方法。该模型对稳态流量预测的平均相对误差为1.5%，对瞬态压力脉动响应的幅值预测的平均相对误差为7.4%。最后，对模型的结果进行了讨论，并得出了结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Non-Newtonian Fluid Mechanics 物理-力学

CiteScore

5.00

自引率

19.40%

发文量

109

审稿时长

61 days

期刊介绍： The Journal of Non-Newtonian Fluid Mechanics publishes research on flowing soft matter systems. Submissions in all areas of flowing complex fluids are welcomed, including polymer melts and solutions, suspensions, colloids, surfactant solutions, biological fluids, gels, liquid crystals and granular materials. Flow problems relevant to microfluidics, lab-on-a-chip, nanofluidics, biological flows, geophysical flows, industrial processes and other applications are of interest. Subjects considered suitable for the journal include the following (not necessarily in order of importance): Theoretical, computational and experimental studies of naturally or technologically relevant flow problems where the non-Newtonian nature of the fluid is important in determining the character of the flow. We seek in particular studies that lend mechanistic insight into flow behavior in complex fluids or highlight flow phenomena unique to complex fluids. Examples include Instabilities, unsteady and turbulent or chaotic flow characteristics in non-Newtonian fluids, Multiphase flows involving complex fluids, Problems involving transport phenomena such as heat and mass transfer and mixing, to the extent that the non-Newtonian flow behavior is central to the transport phenomena, Novel flow situations that suggest the need for further theoretical study, Practical situations of flow that are in need of systematic theoretical and experimental research. Such issues and developments commonly arise, for example, in the polymer processing, petroleum, pharmaceutical, biomedical and consumer product industries.