两个非同心旋转圆柱间粘性流动的广义雷诺方程及其基本流  

General Reynolds equation and basic flow between two eccentric rotating cylinders

作　　者：张引娣[1,2] 李开泰[1] 

机构地区：[1]西安交通大学理学院 [2]长安大学理学院,陕西,西安,710064

出　　处：《高校应用数学学报（A辑）》2008年第2期127-139,共13页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10571142；10471110；10771167)

摘　　要：运用张量分析方法及修正双极坐标系,建立了轴承润滑流动所应满足的广义Reynolds方程.应用薄流层中的Navier-Stokes方程的渐近分析方法和张量分析工具,得到了两个非同心旋转圆柱之间粘性流动的基本流所应满足的方程.这个基本流可以表示为两个同心旋转圆柱之间的Taylor流加上一个扰动项,并且给出了数值计算例子.Under the modified bipolar coordinate system with applying the tensor analysis,the general Reynolds equations are derived for bearing lubrication viscous flow between two nonconcentric rotating cylinders.The equations governed by a basic viscous flow between two eccentric rotating cylinders are obtained by asymptotic analysis method and tensor analysis with Navier-Stokes equation in thin stream layer which consists of the basic flow between two concentric rotating cylinders and the disturbing flow.Furthermo...

关 键 词：广义Reynolds方程 修正双极坐标系 张量分析 NAVIER-STOKES方程 

分 类 号：O357[理学—流体力学]