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A MODIFIED TURBULENCE MODEL FOR LOW REYNOLDS NUMBERS - APPLICATIONS TO HYDROSTATIC SEALS

机译:低雷诺数的修正湍流模型-在静压密封中的应用。

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摘要

The order of magnitude of the Reynolds number in thin lubricant films varies between 10~2 and 10~5. For Reynolds numbers higher than 10~3, the fluid flow becomes turbulent. It is well accepted in lubrication to use a zero equation turbulence model of the type developed by Constantinescu or Elrod, Ng and Pan or Hirs. The Elrod and Ng approach is certainly the most efficient for combined pressure and shear flows where the Reynolds number is above 10~4. This paper proposes a modification of the Elrod and Ng model in order to ensure a good correlation with experimental data obtained with low Reynolds number turbulent flows. The present model, coupled with a scaling factor for taking into account the transition to turbulence, is therefore accurate for all the typical Reynolds number values recorded in lubrication. The model is then applied to hydrostatic noncontacting face seals, which usually operate at Reynolds numbers varying from 10~3 to 10~4. The accuracy of the model is shown for this particular application of radial rotating flow. A special study is made of the transition to turbulence. The results are compared with those obtained using the initial Elrod and Ng model. The axial stiffness coefficient and the stability threshold are significantly affected by the turbulence model.
机译:薄润滑膜中雷诺数的数量级在10〜2和10〜5之间变化。雷诺数大于10〜3时,流体流动变得紊乱。在润滑中使用由康斯坦丁尼斯库或埃罗德,伍和潘或希尔斯开发的零方程湍流模型是公认的。对于雷诺数大于10〜4的组合压力和剪切流,Elrod和Ng方法无疑是最有效的。本文提出了对Elrod和Ng模型的修改,以确保与低雷诺数湍流获得的实验数据具有良好的相关性。因此,本模型,加上考虑到湍流过渡的比例因子,对于润滑中记录的所有典型雷诺数值都是准确的。然后将该模型应用于静水非接触面密封件,该密封件通常以雷诺数在10〜3到10〜4之间变化的方式工作。对于径向旋转流的这种特定应用,显示了模型的准确性。对湍流的过渡进行了专门研究。将结果与使用初始Elrod和Ng模型获得的结果进行比较。轴向刚度系数和稳定性阈值受到湍流模型的显着影响。

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