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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
  • 期刊名称：张引娣,李开泰,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[J]. 高校应用数学学报A辑,
  • 时间：0
  • 分类：O357[理学—流体力学;理学—力学]
  • 作者机构：[1]西安交通大学理学院 西安交通大学理学院 陕西 西安 长安大学理学院 陕西 西安
  • 相关基金：国家自然科学基金(10571142；10471110；10771167)
  • 相关项目：潜射导弹水下和出水时固体表面应力分析,流体固体耦合的动力稳定性分析和计算
关键词： 广义Reynolds方程, 修正双极坐标系, 张量分析, NAVIER-STOKES方程, general Reynolds equation, modified bipolar coordinate, tensor analysis, Navier-Stokes equation
中文摘要：

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.

英文摘要：

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...

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