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

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。

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

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.