FINITE-LENGTH SOLUTIONS FOR ROTORDYNAMIC COEFFICIENTS OF TURBULENT ANNULAR SEALS
FINITE-LENGTH SOLUTIONS FOR ROTORDYNAMIC COEFFICIENTS OF TURBULENT ANNULAR SEALS
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DOI：
10.1115/1.3254636
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发表时间：
1983-01-01
期刊：
影响因子：
--
通讯作者：
CHILDS, DW
中科院分区：
文献类型：
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作者：
CHILDS, DW
本文导出了用于多级离心泵的典型磨损环和级间密封的高压环形密封的动态系数的表达式。假设在周向和轴向方向上都有完全发展的湍流，并采用Hirs湍流润滑方程进行建模。线性零阶和一阶摄动方程的开发通过扩展的偏心率。在周向流的发展过程中考虑了进气涡流的影响。零阶动量方程和连续性方程被精确求解，而一阶动量方程和连续性方程被简化为轴坐标Z中的三个常微分方程。对方程进行积分，以满足边界条件并确定密封运动引起的压力分布。压力分布的积分定义了密封产生的反作用力和相应的动态系数。两个“短密封”的解决方案相比，系数的短长度的解决方案。
Expressions are derived which define dynamic coefficients for high-pressure annular seals typical of wear-ring and interstage seals employed in multistage centrifugal pumps. Completely developed turbulent flow is assumed in both the circumferential and axial directions, and is modeled by Hirs’ turbulent lubrication equations. Linear zeroth and first-order perturbation equations are developed by an expansion in the eccentricity ratio. The influence of inlet swirl is accounted for in the development of the circumferential flow. The zeroth-order momentum and continuity equations are solved exactly, while their first-order counterparts are reduced to three ordinary, complex, differential equations in the axial coordinate Z. The equations are integrated to satisfy the boundary conditions and define the pressure distribution due to seal motion. Integration of the pressure distribution defines the reaction force developed by the seal and the corresponding dynamic coefficients. Finite-length solutions for the coefficients are compared to two “short-seal” solutions.