A calculation method for solution of discharge coefficients in aerostatic bearing

张建波; 焦春晓; 邹冬林; 塔娜; 饶柱石

doi:10.13224/j.cnki.jasp.2019.04.007

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A calculation method for solution of discharge coefficients in aerostatic bearing

更新时间：2026-07-07

- A calculation method for solution of discharge coefficients in aerostatic bearing
- Vol. 34, Issue 4, Pages: 787-795(2019)
- 作者机构：
  
  上海交通大学机械与动力工程学院,上海,200240
- 作者简介：
- 基金信息：
- DOI：10.13224/j.cnki.jasp.2019.04.007
  CLC：
- Published：2019
- 稿件说明：
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张建波, 焦春晓, 邹冬林, 塔娜, 饶柱石. 一种关于静压气体轴承节流孔系数的计算方法[J]. 航空动力学报, 2019, 34(4): 787-795.

doi: 10.13224/j.cnki.jasp.2019.04.007
张建波, 焦春晓, 邹冬林, 塔娜, 饶柱石. 一种关于静压气体轴承节流孔系数的计算方法[J]. 航空动力学报, 2019, 34(4): 787-795. DOI： 10.13224/j.cnki.jasp.2019.04.007.

doi: 10.13224/j.cnki.jasp.2019.04.007 DOI：

摘要

基于层流边界层方程的分离变量算法和雷诺方程的解析算法，提出了一种关于单节流孔静压气体止推轴承的节流孔系数的计算方法。该方法通过比较层流边界层方程计算获得的气体轴承的质量流量和雷诺方程计算获得的质量流量计算获得了节流孔系数。将计算获得的节流孔系数和节流孔系数为常数0.8代入单节流孔气体止推轴承的雷诺方程中，计算获得的承载力与分离变量算法求解层流边界层方程获得的承载力进行对比，可以发现，相对于采用节流孔系数为0.8来说，采用该计算的节流孔系数求解雷诺方程的承载力与分离变量算法求解获得的承载力结果精度最大提高了8%。从而验证了该计算节流孔系数方法的正确性。

Abstract

A calculation method combining the method of separation of variables (MSV) for laminar boundary-layer equations and the analytical solution of Reynolds equation was proposed to study the discharge coefficients of aerostatic bearings. The discharge coefficients were obtained by comparing the mass flow rate obtained by the laminar boundary-layer equations and by Reynolds equation. The bearing capacity from solution of Reynolds equation with the discharge coefficient at the constant 0.8 and laminar boundary-layer equations solved by MSV was studied comparatively. Results showed that the maximum precision of the bearing capacity obtained by the Reynolds equation with the discharge coefficient in this calculation was increased 8% than the bearing capacity from the Reynolds equation with discharge coefficient of 0.8

comparing with the results calculated by MSV. It means that the discharge coefficient is suitable and valid for solution of Reynolds equation.

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