非Newton流体在内管做轴向往复运动的偏心环空中非定常流的速度分布

Velocity distribution of unsteady flow of non-Newtonian fluid in eccentric annuli with the inner cylinder reciprocating axially

本文建立了双极坐标系下非Newton流体在内管做轴向往复运动的偏心环空中非定常流的控制方程;并以HPAM水溶液为例,用有限差分法对控制方程进行了数值求解,绘制了这种流动的速度分布曲线;分析了环空内外管的偏心距、环空内管的冲程和冲次对流体在偏心环空中速度分布的影响。分析结果表明:随着环空偏心距减小,最宽和最窄间隙处的流体速度分布越来越接近;随着环空内管的冲程和冲次的增加,环空内管的轴向往复运动对流体速度分布的扰动增大。

The governing equations of unsteady flow of nonNewtonian fluid in eccentric annuli with the inner cylinder reciprocating axially expressed in bipolar coordinate system are established in this paper.The equations are solved numerically in finite difference method for aqueous solution of HPAM and the curves of velocity distribution are plotted.The effects of the excentricity between the inner cylinder and the outer cylinder, the stroke and frequency of the inner cylinder on the velocity distribution of the fluid in eccentric annuli are analyzed.The results show that velocity distribution in the widest clearance is close to that in the narrowest clearance with the excentricity decreasing, and that the perturbation of velocity distribution is aggravated with the stroke and frequency increasing, which is caused by the inner cylinder reciprocating axially.