Abstract: The governing equations,initial and boundary condition equations,formulas of instantaneous flow rate and the time average flow rate for the unsteady flow of the power law fluid in the eccentric annuli with inner cylinder in axially reciprocating motion in bipolar coordinate system were established. On the basis of these equations and formulas,a numerical method for calculating flow rate of the unsteady flow of the power law fluid in eccentric annuli with the inner cylinder in axially reciprocating motion was introduced. The axially reciprocating motion experiments on the unsteady flow of the aqueous solutions of partially hydrolyzed polyacrylamides (HPAM) with different mass concentration in the eccentric annuli with the inner cylinder in axially reciprocating motion were made. The time average flow rate calculated by the equations and formulas was compared with that obtained from the unsteady flow experiments. The results show that the governing equations,initial and boundary condition equations,flow rate formulas and the numerical method for calculating flow rate presented in this paper are all correct.

Key words: power law fluid, eccentric annuli, inner cylinder, axially reciprocating motion, flow rate calculation, experimental study

摘要： 建立了双极坐标系下幂律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、初始条件和边界条件方程,给出了瞬时流量和时间平均流量的计算公式,并介绍了幂律流体在内管做轴向往复运动的偏心环空中非定常流的流量计算方法。利用不同质量浓度的部分水解聚丙烯酰胺(HPAM)水溶液,对在内管做轴向往复运动的偏心环空中的非定常流进行了实验,把由控制方程、初始条件和边界条件方程以及时间平均流量公式数值计算而得的平均流量与实验测得的平均流量进行了对比。结果表明,文中建立的控制方程、初始条件和边界条件方程、流量公式以及数值计算流量的方法都是正确的。

关键词: 幂律流体, 偏心环空, 内管, 轴向往复运动, 流量计算, 实验研究