Maxwell流体在内壁面沿轴向做往复运动的环空内的流动规律  

Law of Maxwell fluid flowing in annuli with inner wall reciprocating axially

作　　者：黄善波[1] 李兆敏[2] 

机构地区：[1]中国石油大学储运与建筑工程学院,山东东营257061 [2]中国石油大学石油工程学院,山东东营257061

出　　处：《中国石油大学学报（自然科学版）》2009年第4期112-117,124,共7页Journal of China University of Petroleum(Edition of Natural Science)

摘　　要：根据动量方程和本构方程,建立Maxwell型黏弹性流体在内壁面沿轴向做往复运动的同心环空内流动时的数学模型,并采用固有函数法进行理论求解,得到环空内速度的分析解。结果表明:受内壁面周期性往复运动的影响,环空内的速度和平均速度均随时间呈现周期性的变化;流体的弹性和内壁面运动的频率对速度和平均速度的影响规律相似;流体弹性或运动频率的增加将改变部分时刻速度分布曲线的形状,存在着使平均速度变化幅度最大的弹性和频率;壁面运动的振幅只改变速度、平均速度的变化幅度,环空间距的减小扯平了速度的抛物线型分布,并使周期平均速度减小。Based on the momentum equation and the constitutive equation, a mathmatical model for Maxwell viscoelastic fluid flowing in annuli with the inner wall reciprocating axially was set up. An analytical solution for the velocity was obtained by the method of eigen function. The results show that under the influence of the reciprocating movement of the inner wall, the velocity and the average velocity in annuli varied with time periodically. The influence of the fluid elasticity on the velocity and average velocity was similar to that of the oscillating frequency of the moving inner wall on them. The increase of fluid e- lasticity or movment frequency of inner wall would change the velocity profile in annuli at some moments. There existed an e- lastic coefficient or oscillating Reynold number which corresponded to the maximum variation of velocity and average velocity. The amplitude of reciprocating movement changed the extent of velocity and average velocity variation only. The parabolic distribution of velocity was leveled by the decrease in annular space, which also diminished the cyclic average velocity.

关 键 词：黏弹性流体 环空 轴向往复运动 MAXWELL流体 

分 类 号：O337[理学—一般力学与力学基础]