摘要
给出了运动双极坐标系下幂律流体在内管做行星运动的环空中流动时流体作用在内管外壁上的法向应力差、切向应力和扭矩的计算公式;以可视为幂律流体的CMC水溶液为例,利用幂律流体在内管做行星运动的环空中流动的流函数分布的数值解对该流动时流体作用在内管壁的法向应力差、切向应力和扭矩进行了数值计算,并分析了内管自转和公转速度、环空偏心度以及压力梯度对其的影响;还以水为例,把利用数值解绘制的法向应力差、切向应力和扭矩的分布曲线与解析解绘制的法向应力差、切向应力和转矩的分布曲线进行了对比,两者吻合较好,说明给出的幂律流体在内管做行星运动的环空中流动时流体作用在内管外壁上的法向应力差、切向应力和扭矩的计算公式以及数值计算方法是正确的.
The calculation formulae of normal stress difference,tangential stress and moment acted on the inner cylinder for the flow of power-law fluid in annulus with the inner cylinder executing a planetary motion under motive bipolar coordinate system were given.Taking CMC water solution which can be regarded as a power-law fluid for an example,the normal stress difference,tangential stress and moment acted on the inner cylinder of the fluid were calculated numerically by using the numerical solution of stream function of the flow of power-law fluid in annulus with the inner cylinder executing a planetary;The influences of the revolution and rotation velocity of the inner cylinder and the eccentricity and pressure gradient of annulus on the normal stress difference,tangential stress and moment acted on the inner cylinder were analyzed;Then taking water for an example,the curves of normal stress difference,tangential stress and moment acted on the inner cylinder plotted by numerical results in this paper were compared with those plotted by analysis results,they coincided well,it showed that the formulae and methods of normal stress difference,tangential stress and moment acted on the inner cylinder calculated numerically of the flow of power-law fluid in annulus with the inner cylinder executing a planetary motion were correct.
出处
《大庆石油学院学报》
CAS
北大核心
2008年第5期19-22,122-123,共4页
Journal of Daqing Petroleum Institute
基金
国家自然科学基金项目(50374018)
关键词
幂律流体
环空
行星运动
法向应力差
切向应力
扭矩
power-law fluid
annulus
planetary motion
normal stress difference
tangential stress
moment
