【作者】 郑晓松； 刘喜林； 崔海清； 王克亮；

【Author】 Zheng Xiao-song Liu Xi-lin Cui Hai-qing Wang Ke-liang (Petroleum Engineering Department, Daqing Petroleum Institute, Heilongjiang China, 163318) Liaohe Oil Field Corp. Ltd. , Panjin, Liaoning China 124010)

【机构】 大庆石油学院石油工程系； 辽河油田有限责任公司；

【摘要】 根据柔性高分子简单稳态拉伸流动理论,将聚合物高分子模拟为可有限拉伸的、非线性弹性体哑铃,用平衡平均Oseen张量,推导了考虑水力学相互作用的聚合物稀溶液拉伸粘度公式,并与未考虑水力学相互作用的聚合物稀溶液的拉伸粘度进行了比较。结果表明: 微观分子模型中的水力学相互作用对聚合物稀溶液的流变性质有较大的影响,水力学相互作用使聚合物分子产生了附加拉伸,使聚合物稀溶液拉伸粘度的增大,临界Deborah数降低。更多还原

【Abstract】 Based on the theory of flexible macromolecules in simple steady elongational flow, the macromolecules are treated as finite extensible, nonlinear elastic dumbbells. Hydrodynamic interactions among the beads are accounted for approximately by using the equilibrium-averaged Oseen tensor, and the formulas for elongational viscosity are derived for flow of dilute polymer solutions applicable at low and high elongation rates. The elongational viscosity with hydrodynamic interaction is compared with the elongational viscosity without hydrodynamic interaction. Consequently, the hydrodynamic interaction included in a microscopic model of molecules gives rise the significant effect on the macroscopic properties of dilute polymer solutions. The additional stretching of dumbbells is yielded by the hydrodynamic interaction, the elongational viscosity is increased and the critical Deborah number is decreased.更多还原