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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 被引量：1

General Reynolds equation and basic flow between two eccentric rotating cylinders
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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...
作者 张引娣 李开泰
机构地区 西安交通大学理学院 长安大学理学院
出处 《高校应用数学学报（A辑）》 CSCD 北大核心 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)
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
分类号 O357 [理学—流体力学]
  • 相关文献

参考文献13

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共引文献7

同被引文献21

  • 1王贺元,李开泰.Couette-Taylor流的谱Galerkin逼近[J].应用数学和力学,2004,25(10):1083-1092. 被引量：5
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高校应用数学学报（A辑）
2008年 第2期

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