论文标题
稀聚合物溶液的两流体动力学理论
Two-fluid kinetic theory for dilute polymer solutions
论文作者
论文摘要
我们为基于两流体理论提供了用于稀聚合物溶液的玻尔兹曼型动力学描述。该Boltzmann类型的描述使用基于准平衡的松弛机制来对聚合物哑铃和溶剂分子之间的碰撞进行建模。该模型重现了聚合物 - 溶剂混合物所需的宏观方程。提出的动力学方案导致了沿晶格玻尔兹曼方法线的数值算法。最后，应用算法来描述扰动的kolmogorov流量谱的演变，从而恢复了聚合物溶液所表现出的主要弹性效应，具体是对原始惯性不稳定的抑制。
We provide a Boltzmann-type kinetic description for dilute polymer solutions based on two-fluid theory. This Boltzmann-type description uses a quasi-equilibrium based relaxation mechanism to model collisions between a polymer dumbbell and a solvent molecule. The model reproduces the desired macroscopic equations for the polymer-solvent mixture. The proposed kinetic scheme leads to a numerical algorithm which is along the lines of the lattice Boltzmann method. Finally, the algorithm is applied to describe the evolution of a perturbed Kolmogorov flow profile, whereby we recover the major elastic effect exhibited by a polymer solution, specifically, the suppression of the original inertial instability.
