Analytical modeling of ultra-thin-film bearings
Analytical modeling of ultra-thin-film bearings
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DOI：
10.1088/0960-1317/13/3/317
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发表时间：
2003-05
影响因子：
2.3
通讯作者：
W. Chan;Yuhong Sun
中科院分区：
文献类型：
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作者：
W. Chan;Yuhong Sun
我们开发了一种基于气体动力学理论的分析模型，并将其应用于数据存储系统中经常遇到的薄膜轴承。该模型在控制方程中纳入了高阶应力张量和温度梯度的影响，可用于覆盖完整滑移区域的各种努森数。获得相应的修正雷诺方程，并绘制流量与反努森数的关系图。给出了在不同努森数、轴承数、马赫数和俯仰角下沿着空气轴承的压力分布，并且还获得了承载能力。结果与一阶和二阶滑移模型进行了比较。据观察，当前的工作与线性玻尔兹曼方程和直接模拟蒙特卡罗结果获得的解非常一致。
We develop an analytical model based on kinetic theory of gases and we apply this to thin-film bearings that are frequently encountered in data storage systems. This model incorporates the effects of the higher-order stress tensor and temperature gradient in the governing equations and it can be used for a wide range of Knudsen numbers covering the complete slip regimes. The corresponding modified Reynolds equation is obtained and the flow rate is plotted versus the inverse Knudsen number. Pressure distributions along the air bearing at various Knudsen numbers, bearing numbers, Mach numbers and pitching angles are presented and the load carrying capacities are also obtained. The results are compared with the first-order and second-order slip models. It is observed that the current work is in very good agreement with solutions obtained from the linearized Boltzmann equation and direct simulation Monte Carlo results.