油气混合润滑状态下滑动轴承润滑特性的数值模拟

doi:10.19596/j.cnki.1001-246x.8553

摘要/Abstract

摘要：

基于润滑剂是流体和气泡核的混合物且其分布符合均一性的假设，引入空泡动力学模型并与滑动轴承流体动压润滑雷诺方程相耦合，建立油气混合润滑状态下的润滑模型。利用非线性轴心轨迹求解方法实时更新轴承位置, 而后运用包括欧拉法、4-5阶龙格库塔法与有限差分法进行数值模拟，探究油气混合润滑状态下初始含气率对滑动轴承轴心轨迹和润滑特性的影响。

关键词: 空泡动力学模型, 雷诺方程, 油气混合润滑, 润滑特性

Abstract:

With assumption that the lubricant is a mixture of fluid and bubble nuclei and its distribution is homogeneous, we introduce a dynamic model of cavitation and couple it with Reynolds equation of hydrodynamic lubrication of plain bearings. The model under lubrication state is sovled with numerical simulation. Euler method, a 4-5th order Runge-Kutta method and a finite difference method are used to explore effect of initial gas content on axis trajectory and lubrication characteristics.

Key words: bubble dynamics, Reynolds equation, oil-gas two-phase flow lubrication, lubrication characteristics

房立庆, 张浩, 师素双, 王明川, 陈东亮, 师占群. 油气混合润滑状态下滑动轴承润滑特性的数值模拟[J]. 计算物理, 2023, 40(1): 47-56.

Liqing FANG, Hao ZHANG, Sushuang SHI, Mingchuan WANG, Dongliang CHEN, Zhanqun SHI. Numerical Simulation of Lubrication Characteristics of Journal Bearings Under Oil-air Mixed Lubrication[J]. Chinese Journal of Computational Physics, 2023, 40(1): 47-56.

图/表 10

图1 气泡壁受力分析

Fig.1 Forces on a bubble's wall

图2 轴心位置与油膜厚度示意图

Fig.2 A schematic of bearing center position and oil film thickness

图3 数值计算流程图

Fig.3 Flow chart of numerical calculation

图4 周向油膜压力分布

Fig.4 Circumferential oil film pressure distribution

表1 滑动轴承主要参数表

Table 1 Main parameters of journal bearing

参数	数值
轴承长度/m	0.06
轴承间隙/m	0.000 1
轴颈半径/m	0.02
轴瓦半径/m	0.020 1

表2 润滑油主要参数表

Table 2 Main parameters of lubricating oil

参数	数值
润滑油密度/(kg·m^-3)	9.2 × 10³
润滑油气体密度/(kg·m^-3)	0.012
润滑油黏度/(Pa·s)	0.012
表面张力/(N·m^-1)	0.0324
饱和蒸气压/(Mpa)	8.6 × 10^-3
表面膨胀粘度/(N·s·m^-1)	7.85 × 10^-4

图5 30 rad·min-1时，不同含气率下的轴心轨迹

Fig.5 Journal whirl orbit at 30 rad ·min-1

图6 3 000 rad ·min-1时，不同含气率下的轴心轨迹

Fig.6 Journal whirl orbit at 3 000 rad ·min-1

图7 30 rad·min-1时，不同含气率下的静态特性参数

Fig.7 Effect of void fraction on bearing capacity at 30 rad ·min-1

图8 3000 rad·min-1时，不同含气率下的静态特性参数

Fig.8 Effect of void fraction on bearing capacity at 3000 rad ·min-1

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