迷宫密封双控制体模型的改进及应用

Improvement and application of two-control-volume model on labyrinth seal

由双控制体模型的三个控制方程入手,将其无量纲化,并分解为零阶和一阶无量纲方程。由零阶方程求得定常流场,继而求解一阶方程得到密封的动特性参数,其中一阶方程以简洁的矩阵形式表达,操作更为简便。本文双控制体模型是较为成熟且得到认可的分析方法,双控制体改进模型具有更为清晰的模型及更为简洁的算法。最后与传统模型计算结果比较,验证了本文算法的准确性。随后分析了几种密封参数对其动力特性的影响,揭示某些规律并给出一些建议。

As for the analysis of labyrinth seal rotordynamics, the two-control-volume model is an efficient approach that is applied well. This paper starts with three relative governing equations, which aretransformed into two dimensionless equations through a nondimensionalized process. It contains a zeroth-order equation, through which a steady fluid distribution is determined, and a first-order equation, through which the seal＇s rotordynamic coefficients can be acquired. Since the first-order equation is formulated with matrix form, the relevant operation becomes very simple. The improved approach in this paper has a clearer model and a more concise algorithm than the previous one. Finally compared with resuits from traditional model, the results of current model are accurate and effective. And then a series of investigations, analysing the influence of some seal parameters upon the rotordynamic coefficients, reveal some useful and practical rules.