偏心环空层流螺旋流动的近似解析解

An Analytic Solution of Spiral Flow in an Eccentric Annulus

本文分析计算了石油钻井工程偏心环空中内管转动的螺旋流动。将偏心环空的三维流动简化为环空薄层内的二维流动，从黎曼空间曲面张量表达的动量方程出发，求得了偏心环空层流螺旋流动速度的近似解析解。用此方程的同心环空表达式与精确解比较，精度较高。

In this paper the spiral velocity of eccentric annulus with inner pipe turned is analysed and computed. The tensor equation of momentum in three- dimensional descartes coordinate casts light upon Riemann curved surface space.Newtonian fluid spiral velocity fields under condition of presure and drill pipe rotation are resovied. A velocity section comparison between precise value and the approximate value of tensor method in the spiral flow of coaxial annulus is acceptable in precision.