Datta Ranajay, Yelash Leonid, Schmid Friederike, Kummer Florian, Oberlack Martin, Lukáčová-Medvid'ová Mária, Virnau Peter
Institute of Physics, Johannes Gutenberg University, Staudingerweg 9, 55128 Mainz, Germany.
Institute of Mathematics, Johannes Gutenberg University, Staudingerweg 9, 55128 Mainz, Germany.
Polymers (Basel). 2021 Aug 20;13(16):2806. doi: 10.3390/polym13162806.
We investigate the molecular origin of shear-thinning in melts of flexible, semiflexible and rigid oligomers with coarse-grained simulations of a sheared melt. Entanglements, alignment, stretching and tumbling modes or suppression of the latter all contribute to understanding how macroscopic flow properties emerge from the molecular level. In particular, we identify the rise and decline of entanglements with increasing chain stiffness as the major cause for the non-monotonic behaviour of the viscosity in equilibrium and at low shear rates, even for rather small oligomeric systems. At higher shear rates, chains align and disentangle, contributing to shear-thinning. By performing simulations of single chains in shear flow, we identify which of these phenomena are of collective nature and arise through interchain interactions and which are already present in dilute systems. Building upon these microscopic simulations, we identify by means of the Irving-Kirkwood formula the corresponding macroscopic stress tensor for a non-Newtonian polymer fluid. Shear-thinning effects in oligomer melts are also demonstrated by macroscopic simulations of channel flows. The latter have been obtained by the discontinuous Galerkin method approximating macroscopic polymer flows. Our study confirms the influence of microscopic details in the molecular structure of short polymers such as chain flexibility on macroscopic polymer flows.
我们通过对剪切熔体进行粗粒度模拟,研究了柔性、半柔性和刚性低聚物熔体中剪切变稀的分子起源。缠结、取向、拉伸和翻滚模式或对后者的抑制都有助于理解宏观流动特性是如何从分子层面产生的。特别是,我们发现随着链刚度的增加,缠结的出现和消失是平衡态及低剪切速率下粘度非单调行为的主要原因,即使对于相当小的低聚物体系也是如此。在较高剪切速率下,链会取向和解缠结,导致剪切变稀。通过对剪切流中单个链进行模拟,我们确定了这些现象中哪些具有集体性质且是通过链间相互作用产生的,哪些在稀溶液体系中就已存在。基于这些微观模拟,我们借助欧文 - 柯克伍德公式确定了非牛顿聚合物流体相应的宏观应力张量。通道流的宏观模拟也证明了低聚物熔体中的剪切变稀效应。后者是通过近似宏观聚合物流动的间断伽辽金方法获得的。我们的研究证实了短聚合物分子结构中的微观细节(如链的柔性)对宏观聚合物流动的影响。