基于Elrod空化算法的Y形槽液膜密封性能分析

摘要

基于质量守恒边界条件建立Y形槽液膜密封性能分析数学模型,采用有限差分法对广义Reynolds方程进行离散,通过SOR迭代方法对离散方程进行求解,得到液膜承载能力、液膜刚度、摩擦扭矩以及泄漏量等性能参数,并探讨Y形槽液膜密封结构参数对密封性能的影响.结果表明:槽数、周向槽台比和径向槽宽比等结构参数对密封性能有显著影响,液膜承载能力和液膜刚度随着这些结构参数的增大均呈现先增大后减小的趋势,摩擦扭矩随着这些结构参数的增大而增大;泄漏量随着槽数的增加先增大后趋于平稳,随着周向槽台比的增大先增大后减小,随着径向槽宽比的增大而减小;在文中计算条件下,槽数取12～14,槽深取30～35 μm,螺旋角取12°～16°,周向槽台比取0.7～1.1,径向槽宽比取0.8～1.0时,Y形槽液膜密封具有较好的稳定性和密封性能.%A performance analyzing model of Y-groove liquid film seals was established based on mass conserving boundary condition.The universal Reynolds equation was discretized by the finite difference method,and load-carrying capacity,film stiffness,leakage,friction torque were obtained by solving the discretized equation with the SOR iterative algorithm.The influence of structural parameters of Y-groove liquid film seals on the seal performance were analyzed.The results indicate that the sealing performance is significantly affected by structural parameters,including the number of grooves,groove depth,spiral angle,ratio of groove to ridge width and ratio of groove to groove.With the increasing of these structural parameters,the load-carrying capacity and film stiffness are first increases then decreases,the friction torque is increased.The leakage is first increased then becomes steady with increasing of groove number,first increased then decreased with increasing of ratio of groove to ridge width,and decreased with increasing of ratio of groove to ridge width.The Y-groove liquid film seals have better performance with the parameters in the paper:the number of grooves is from 12 to 14,groove depth is from 35 to 40 μm,spiral angle is from 12° to 16°,ratio of groove to ridge width is from 0.7 to 1.1,and the ratio of groove to groove is from 0.8 to 1.0.