Abstract: According to the characteristics of aerostatic dry gas seals and the gas Reynolds equation, Galerkin method was used to derive the variational equations of pressure distribution of the gas film. Based on the gas film boundary conditions, the derivation process using the finite element method of the steadystate Reynolds equations was given. The pressure fitting curves of different thicknesses of the gas films were obtained by using polynomial fitting. In addition, the opening force was carried out. The fitting formula of the opening force and the film thinckness was obtained according to the opening force of the different film thicknesses.The relationship of the film stiffness and the film thickness was obtained by the derivation of the film thickness.The pressure distribution of the stationary seal ring end face was obtained. A parabolic decreasing trend is showed from the orifice to the inner and outer diameters in the radial direction of the stationary ring seal face. Pressure peak occurs at the orifice. With the increase of the gas film thickness, opening force and gas film stiffness decrease.

Key words: Numerical simulation, Gas flim stiffness, Steady state, Galerkin method, Microscale

摘要： 根据静压干气密封的特点,以气体雷诺方程为依据,通过伽辽金法得到润滑气膜压力分布的变分方程,由气膜的边界条件,得到用有限元法求解稳态下气膜雷诺方程。并利用多项式拟合得到不同工况下的压力拟合曲线,计算得到开启力F。由不同膜厚下开启力的大小拟合出开启力与膜厚的函数关系式,及对膜厚求导得到气膜刚度与气膜厚度的关系式。结果表明,在静环密封端面径向上压力,由节流孔处向内径和外径处呈现抛物线型递减趋势,在节流孔处出现压力最高峰;随着气膜厚度的增加,开启力逐渐减小,气膜刚度也逐渐减小。

关键词: 数值模拟, 气膜刚度, 稳态, 伽辽金法, 微尺度