Department of Chemical and Biological Engineering, Colorado School of Mines, 1500 Illinois Street, Golden, Colorado 80401, USA.
Phys Rev Lett. 2013 Apr 26;110(17):176001. doi: 10.1103/PhysRevLett.110.176001. Epub 2013 Apr 23.
The first molecular scale simulation of highly entangled polydisperse homopolymers that is capable of capturing all three regions--no slip, weak slip, and strong slip--of the hydrodynamic boundary condition is presented. An on-lattice dynamic Monte Carlo technique capable of correctly capturing both unentangled and entangled polymer dynamics is used to study the molecular details of wall slip phenomena for homopolymers and energetically neutral walls. For unentangled chains (those exhibiting Rouse dynamics) weak slip is not present but evidence of strong slip is manifest at very high shear rates. For entangled chains (of sufficient length to exhibit reptation dynamics), both weak and strong slip are observed. Consistent with numerous experimental studies, disentanglement and cohesive failure occur at high shear rates. Disentanglement is clearly evidenced in a nonlinear velocity profile that exhibits shear banding, in an excess of chain ends at the slip plane, and perhaps most importantly in a nonmonotonic stress versus shear rate response. The chain end density exhibits a pretransitional periodicity prior to disentanglement. Unentangled Rouse chains do not show this pretransitional response or a bifurcation in their stress versus shear rate response. Finally, it is shown that when polydispersity is introduced, slip phenomena are severely reduced and the inherent constitutive bifurcation is limited to a small region. Predictions are in post facto agreement with many experiments, are distinct from existing results obtained using molecular dynamics simulation techniques, and shed light on fundamental mechanisms of polymer wall slip.
本文提出了第一个能够捕捉到高分子多分散聚合物的三种流动边界条件区域(无滑移、弱滑移和强滑移)的分子尺度模拟。本文采用一种能够正确捕捉无缠结和缠结聚合物动力学的晶格动态蒙特卡罗技术,研究了均聚物和能量中性壁面壁滑现象的分子细节。对于无缠结链(表现出罗塞动力学的链),不存在弱滑移,但在非常高的剪切速率下表现出强滑移的证据。对于缠结链(长度足以表现出蠕动动力学的链),观察到弱滑移和强滑移。与许多实验研究一致,在高剪切速率下会发生解缠和解体失效。在非线性速度曲线中可以清楚地观察到解缠,该速度曲线表现出剪切带、在滑移面处存在过量的链端,以及最重要的是在非单调的应力与剪切速率响应中。链端密度在解缠之前表现出预过渡周期性。无缠结的罗塞链没有表现出这种预过渡响应或其应力与剪切速率响应中的分叉。最后,结果表明,当引入多分散性时,滑移现象会严重减少,固有本构分叉仅限于一个小区域。预测与许多实验结果一致,与使用分子动力学模拟技术得到的现有结果明显不同,为聚合物壁面滑移的基本机制提供了新的见解。