Analysis of start-up flow of visco-elastic fluid in annular space

黄善波 李兆敏

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Analysis of start-up flow of visco-elastic fluid in annular space

更新时间：2025-12-10

- Analysis of start-up flow of visco-elastic fluid in annular space
- CIESC Journal Issue 2, (2007)
- 作者机构：
  
  中国石油大学储运与建筑工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：05 February 2007，
  
  Published：05 February 2007
- 稿件说明：
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黄善波李兆敏. Analysis of start-up flow of visco-elastic fluid in annular space[J]. CIESC Journal, 2007, (2).
DOI：

黄善波李兆敏. Analysis of start-up flow of visco-elastic fluid in annular space[J]. CIESC Journal, 2007, (2). DOI：

摘要

利用分离变量法得到了Maxwell型黏弹性流体在环空内起动流时的解析解，并对其流动特性进行了计算和分析。结果表明，黏弹性流体在环空内的起动流呈现出周期性的、衰减的振荡流特点，环空内的速度剖面在不同时刻呈现出不同的规律，并且在流体弹性效应较强时，环空内有可能出现暂时的逆流现象。环空内不同位置处的振荡规律是不同的，环空中央附近的振荡强度要强于壁面附近的。流体的弹性效应越强，振荡幅度越大，趋于稳定的时间就越长。随着时间的延续，流体的弹性对速度剖面的影响逐渐减弱。环空间距对振荡流有抑制作用。间距变小，将使振荡流的振幅减小、频率增加，平均速度的稳定值减小。

Abstract

An analytical solution of start-up flow of a Maxwell fluid flowing across an annular was obtained by the method of separation of variables.The fluid was visco-elastic and obeyed the Maxwell constitutive equation.The results showed that the start-up flow took on the characteristics of damping and periodically vibrating flow.The velocity profile across the annular-space presented different traits at different times.Reversed flow might occur when the elastic effect of the fluid was strong.The variation of velocity with time at different radii was different

with the vibration intensity at the central part of the annular space stronger than the wall part.The stronger the elasticity of the fluid

the [JP2]higher the vibration amplitude and the longer the steady time of flow.The effect of fluid elasticity on velocity profile decreased with time.The annular space could restrain the vibration of the flow.A smaller annular space could decrease the vibration amplitude and increase the vibration frequency

decreasing the average velocity at steady flow.

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