幂律流体在内管做行星运动的环空中流动时的内管法向应力分布  

Normal stress distribution on the inner cylinder forced by power law fluid flowing in annulus with inner cylinder executing a planetary motion

作　　者：崔海清[1] 修德艳[1] 裴晓含[1] 蔡萌[1] 

机构地区：[1]大庆石油学院提高油气采收率教育部重点实验室,黑龙江大庆163318

出　　处：《中国石油大学学报（自然科学版）》2007年第1期67-71,共5页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：国家自然科学基金资助项目(50374018);黑龙江省自然科学基金资助项目(A0201)

摘　　要：给出了运动双极坐标系中幂律流体在内管做行星运动的环空中流动时的控制方程以及内管法向应力分布的计算公式。在采用有限差分法对控制方程进行数值求解的基础上,利用计算公式对内管法向应力分布进行了数值计算;绘制了内管法向应力分布曲线,并对其影响因素进行了分析。结果表明,内管自转和公转速度、环空偏心度是影响内管法向应力分布的主要因素,而压力梯度的影响很小。The governing equations and calculation formulas of normal stress distribution on the inner cylinder were given in bipolar coordinate system when power law fluid flows in annulus with the inner cylinder executing a planetary motion. The governing equations were worked out by finite difference method, and then the normal stress distribution on the inner cylinder was calculated. The curves of normal stress distribution on the inner cylinder were plotted, and the affecting factors were analyzed, The results indicate that the rotation and revolution velocities of the inner cylinder, the eccentricity of the annulus are the main factors to influence the normal stress distribution on the inner cylinder, while the pressure gradient has less effect.

关 键 词：幂律流体 偏心环空 内管 行星运动 法向应力分布 

分 类 号：TE355.5[石油与天然气工程—油气田开发工程]