| 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 |
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| 引用本文： | 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),2008,23(2). |
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| 作者姓名： | 张引娣 李开泰 |
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| 作者单位： | 西安交通大学,理学院,陕西西安,710049;长安大学,理学院,陕西西安,710064;西安交通大学,理学院,陕西西安,710049 |
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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.
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| 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 and basic flow between two eccentric rotating cylinders |
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| ZHANG Yin-di,LI Kai-tai.General Reynolds equation and basic flow between two eccentric rotating cylinders[J].Applied Mathematics A Journal of Chinese Universities,2008,23(2). |
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| Authors: | ZHANG Yin-di LI Kai-tai |
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| Abstract: | 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.Furthermore,the numerical examples are provided. |
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| Keywords: | general Reynolds equation modified bipolar coordinate tensor analysis Navier-Stokes equation |
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