环状截面圆弧形管道内粘性流动的摄动解  

The Perturbation Solution of Viscous Flow in Circular Pipes with Narrow Annular Secton

作　　者：章本照[1] D.N.Fan 

机构地区：[1]浙江大学力学系 [2]美国Howard大学

出　　处：《浙江大学学报（自然科学版）》1989年第3期388-398,共11页

摘　　要：本文根据张量理论,建立了非正交曲线柱坐标系中的N—S方程。采用摄动法求解了窄环形截面圆孤管道内的粘性流动。获得了速度、压力的零阶、一阶和二阶的分析解表达式。结果表明环形截面上存在二次流动。The Navier-Stokes equations are established for a nonorthogonal curvilinear cylindrical coordinate system based on tensor analysis. The zeroth the first-and the second-order analytic solutions are obtained for fully developed flow in circular pipes with narrow annular cross section using a perturbation method.It is found that the secondary flow are taken place on the annular cross section.

关 键 词：环状截面 圆弧形 管道 粘性 流动 

分 类 号：O357[理学—流体力学]