Extended Reynolds lubrication model for incompressible Newtonian fluid
Extended Reynolds lubrication model for incompressible Newtonian fluid
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不可压缩牛顿流体的扩展雷诺润滑模型
DOI：
10.1103/physrevfluids.4.114101
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发表时间：
2019
影响因子：
2.7
通讯作者：
Gu Jingchen
中科院分区：
文献类型：
--
作者：
Takeuchi Shintaro;Gu Jingchen
提出了一个扩展的润滑模型，以改善润滑理论，考虑了更大的表面到表面的距离比雷诺润滑理论。分析表明，当考虑表面法向不可忽略的压力梯度时，局部压力可分解为满足雷诺润滑理论的基本分量和沿表面法向变化的调节分量，其形式与Couette-Poietille流的局部速度的纵向导数成正比。通过分析和数值计算方法得到的运动弯曲物体和静止物体之间的润滑结果的比较表明，所提出的润滑模型再现了在壁法线方向和纵向方向上的压力分布。在一个球形颗粒接近一个平面壁的问题中，所提出的模型计算的流体动力表现出一个反比例的趋势，表面到表面的距离。结果表明，扩展适用性的润滑理论的非雷诺制度。
An extended lubrication model is proposed for improvement of the lubrication theory by taking into account a larger surface-to-surface distance than that for the Reynolds lubrication theory. The analysis shows that when considering the non-negligible pressure gradient in the surface-normal direction, the local pressure is separated into (i) a base component satisfying the Reynolds lubrication theory and (ii) an adjusting component varying in the surface-normal direction, which is found to take the form proportional to the longitudinal derivative of the local velocity of the Couette-Poiseuille flow. Comparison of the results obtained by analytical and numerical methods for the lubrication between a moving curved object and stationary object shows that the proposed lubrication model reproduces the pressure distribution in both wall-normal and longitudinal directions. In a problem of a spherical particle approaching to a plane wall, the hydrodynamic force calculated by the proposed model exhibits an inverse-proportional trend to the surface-to-surface distance. The results suggest extended applicability of the lubrication theory to a non-Reynolds regime.