With the advancement of lubrication technology, precise prediction of performance characteristics of bearings is the first and inevitable step for stability of mechanical systems. Most of the existing theoretical analyses of hydrostatic thrust bearings lubricated with non-Newtonian fluids have considered the lubricant inertia, only in the recess and land regions but did not account either for the inertia of lubricant in the supply region or the surface roughness of the bearings. This could be a cause for the deviation between the theoretical results and the experimental data under certain conditions. In this work, combined influence of surface roughness as well as lubricant inertia in the supply region, on the static properties of a hydrostatic stepped thrust bearing lubricated with a non-Newtonian fluid, has been discussed using Rabinowitsch fluid model. Surface roughness effects have been accounted for using Christensen theory of rough surfaces. It is expected that the current study could bridge the gap between the experimental and theoretical studies. Solution for momentum equation has been obtained by means of average inertia approach. Analytic expressions for film pressure have been derived for radial and circumferential roughness patterns. Mathematica 11.0 has been used for numerical computations, wherever necessary. Results for film pressure and load carrying capacity have been plotted and discussed. It is observed that the present results are in a better agreement with the experimental data.

中文翻译：

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考虑供给区流体惯性的拉比诺维奇流体润滑静压粗推力轴承分析

随着润滑技术的进步，精确预测轴承的性能特性是机械系统稳定性的第一步，也是必然的一步。大多数非牛顿流体润滑的静压推力轴承的现有理论分析都考虑了润滑剂惯性，仅在凹槽和陆地区域，但没有考虑供应区域的润滑剂惯性或轴承的表面粗糙度. 这可能是某些条件下理论结果与实验数据之间存在偏差的原因。在这项工作中，表面粗糙度以及供应区域的润滑剂惯性的综合影响，对用非牛顿流体润滑的静压阶梯式推力轴承的静态特性的影响，已经使用 Rabinowitsch 流体模型进行了讨论。表面粗糙度效应已经使用克里斯滕森粗糙表面理论进行了解释。预计目前的研究可以弥合实验研究和理论研究之间的差距。采用平均惯量法求解动量方程。已经推导出径向和圆周粗糙度模式的薄膜压力解析表达式。Mathematica 11.0 已用于必要的数值计算。已经绘制并讨论了薄膜压力和承载能力的结果。可以看出，目前的结果与实验数据更加吻合。预计目前的研究可以弥合实验研究和理论研究之间的差距。采用平均惯量法求解动量方程。已经推导出径向和圆周粗糙度模式的薄膜压力解析表达式。Mathematica 11.0 已在必要时用于数值计算。已经绘制并讨论了薄膜压力和承载能力的结果。可以看出，目前的结果与实验数据更加吻合。预计目前的研究可以弥合实验研究和理论研究之间的差距。采用平均惯量法求解动量方程。已经推导出径向和圆周粗糙度模式的薄膜压力解析表达式。Mathematica 11.0 已在必要时用于数值计算。已经绘制并讨论了薄膜压力和承载能力的结果。可以看出，目前的结果与实验数据更加吻合。0 已用于数值计算，只要有必要。已经绘制并讨论了薄膜压力和承载能力的结果。可以看出，目前的结果与实验数据更加吻合。0 已用于数值计算，只要有必要。已经绘制并讨论了薄膜压力和承载能力的结果。可以看出，目前的结果与实验数据更加吻合。