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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
General Reynolds equation and basic flow between two eccentric rotating cylinders
【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.
【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.
【关键词】 广义Reynolds方程;
修正双极坐标系;
张量分析;
Navier-Stokes方程;
【Key words】 general Reynolds equation; modified bipolar coordinate; tensor analysis; Navier-Stokes equation;
【Key words】 general Reynolds equation; modified bipolar coordinate; tensor analysis; Navier-Stokes equation;
【基金】 国家自然科学基金(10571142;10471110;10771167)
- 【文献出处】 高校应用数学学报A辑 ,Applied Mathematics A Journal of Chinese Universities(Ser.A) , 编辑部邮箱 ,2008年02期
- 【分类号】O357
- 【被引频次】3
- 【下载频次】174