关于粘性流体与弹性结构相耦合的问题——端面密封计算

关于粘性流体与弹性结构相耦合的问题——端面密封计算 ON THE COUPLING BETWEEN VISCOUS FLUID AND ELASTIC STRUCTURE-A FACE SEAL COMPUTATION 陈绍林 Chen Shaolin 1 first-author 朱方生 Zhu Fangsheng 1 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 本文研究一个从工程中提出的关于粘性流体与弹性结构相耦合的问题。数学上归结为非线性偏微分方程的初、边值问题。对此问题,我们在线性化和迭代方面做了些技术性的处理,当端面液膜厚度的初值确定后,将非线性的雷诺方程线性化;求解这个方程得到液膜压力分布函数,然后得到液膜厚度,进行反复的迭代,直到前后两次最小液膜厚度差的绝对值小于给定的ε为止。数值结果的主要参数说明,我们所得的结果比文[1]所给出的结果更接近于试验数据（见文[1]）。 In this paper, the coupling between viscous fluid and elastic structure, an engineering problem, is discussed. Mathematically, it is a problem of initial and boundary values in nonlinear differential equations. Treatments in both linearization and iteration have been made. For a given initial film thickness on the face seal, linearization of the nonlinear Raynolds equation is formulated. On solving this epuation, the pressure distribution function of the film can be found, and the film thickness Carl then be obtained. The iteration process can be repeated until the absolute difference of minimum film thicknesses between the adjacent two steps becomes less than the given velue ε. Numerical results of some parameters show much better approximation to experimental data than that in [1]. 粘性流体 弹性结构 端面密封 耦合 液膜 漏泄量 viscous fluid elastic structure face seal coupling film leakage 国家自然科学基金(61672102) 1990-04-01 2021-04-01 4