同心环隙有压科特流层流解析解及实验验证

The Laminar Couette Flow Between Two Concentric Cylinders With Adverse Pressure Gradient

本文对同心环隙有压科特流层流提出了一维流动的动量矩微分方程,并根据广义牛顿内摩擦力定律,求得了圆周切应力τ与圆周切线速度 u 的解析解.对流场中的零切应力环面,流速极环面和流速拐环面的存在条件进行了讨论.证明了流速极环面并不与零切应力环面重合.对所提出的上述理论进行了实验印证.实验表明用一维理论来描述这种运动是简单可行的.本文把层流的无压环隙科特流与有压槽道流作为两个特例概括在所提出的理论之中.

The angular momentum differential equation is used in one-dimensional La- minar Couette flow with adverse pressure gradient,in the annular space between two concentric cylinders,The analytical solution of the circumferential shearing stress τ and that of the tangential velocity u are obtained by the generlized Law of Newton′s internal friction force.The existence conditions for the zero shearing stress,the extremum of flow velocity,and the inflextion circular surface in the field arc discussed.It has been proved that the circular surface of the extremum of flow flow velocity and that of the zero shearing stress are not coincided to each other. The experiments show that to describe this kind of motion by means of one- dimensional theory is simple and acceptable.The laminar circular couette flow without pressure and the Channel flow with pressure has been taken as two spe- cial examples which have also been concluded in this theory mentioned in the paper.