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基于滑移边界条件下的雷诺方程,不考虑密封环的变形,力平衡的条件下,利用迭代法求解获得密封腔内气膜压力函数式;根据微尺度流体流动过程中压力及转速的变化,得到不同压力下的密封面的转角及变形量的分布规律,获得相应的气膜厚度近似表达式。同时,在广义雷诺方程下,求出无变形时理论泄露量。利用Maple程序求解,得到不同压力下的密封环力变形泄漏量,并与理论值进行比对。研究表明:随气体从外径流入内径,泄漏量随着压力的增大而增大;相同工况下,与无变形泄漏量相比,有变形的泄漏量更接近于实验值,从而对密封性能产生影响。
Based on the Reynolds equation of the slip boundary conditions, the pressure function of the gas film in the sealed cavity is obtained by iterative method without considering the deformation and force balance of the seal ring. According to the pressure and rotational speed changes in the micro-scale fluid flow, The distribution of the rotation angle and deformation of the sealing surface under different pressures is obtained, and the approximate expression of the thickness of the gas film is obtained. At the same time, under the generalized Reynolds equation, the theoretical leakage without deformation is obtained. Using Maple program, the amount of leakage of seal ring under different pressures was obtained and compared with the theoretical value. The results show that as the gas flows into the inner diameter from the outer diameter, the leakage increases with the increase of the pressure. Under the same conditions, the amount of deformation is closer to the experimental value than that without deformation, Performance has an impact.