幂律液体在平面管中的衰减流动

A Decaying Flaw of Power low Fluid in a Plane Tube

为了探讨维持液体在管道中稳定流动的压力梯度突然消失后的非定常流动，从液体流动的基本方程出发，导出了幂律液体在平面间隙（平面管）中做衰减流动的控制方程和初始条件，利用差分和迭代法对非线性方程进行了数值求解。结果表明：幂律液体的指数ｎ值越大，速度场和平均速度衰减越快，这与阻力随ｎ增加的规律是一致的。

A nonsteady state,decaying flow of the incompressible fluid in two parallel infinite plates is considered.The governing equation and initial condition for the power low fluid is derived when the pressure gradient used to sustain steady the flow in a plane tube(channel) is removed suddenly.By using finite difference and iteration method, numerical solutions for the decaying flow(power law fluid flow)are evaluated The computation results obtained show that the larger the value of power law index, the slower the decay of flow.