论文标题
牛顿亚牛顿聚合物流体合并
Sub-Newtonian coalescence in polymeric fluids
论文作者
论文摘要
我们提出了一个理论框架，用于捕获吊坠下降的合并，聚合物流体的无柄下降。该框架是基于在高魏森伯格爬行流量极限下统一的各种本构定律的统一。我们的结果表明，这种现象属于一个新的制度，即纽顿次政权，然后是被捕的结合案例，其限制性案例$θ_{propt} \ propto ec^{ - 1/2} $，其中$ ec $是elasto-capillary number。此外，我们提出了一个新的时间尺度$ t^*$集成了连续变量$ ec $和大分子参数$ n_e $，这是描述液体颈部演变的纠缠密度。最后，我们通过在聚（PEO）的不同分子量（PEO）上进行的高速成像实验来验证框架。
We present a theoretical framework for capturing the coalescence of a pendant drop with a sessile drop in polymeric fluids. The framework is based on the unification of various constitutive laws under high Weissenberg creeping flow limit. Our results suggests that the phenomenon comes under a new regime namely, the sub-Newtonian regime followed by the limiting case of arrested coalescence with the arrest angle $θ_{arrest}\propto Ec^{-1/2}$, where $Ec$ is the Elasto-capillary number. Further, we propose a new time scale $T^*$ integrating the continuum variable $Ec$ and the macromolecular parameter $N_e$, the entanglement density to describe the liquid neck evolution. Finally, we validate the framework with high speed imaging experiments performed across different molecular weights of Poly(ethylene oxide) (PEO).
