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arXiv 2201.10132physics.comp-phphysics.flu-dyn
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聚合物稀溶液的双流体动力学理论

Two-fluid kinetic theory for dilute polymer solutions

Shiwani Singh, Ganesh Subramanian, Santosh Ansumali

摘要:

我们提供了一个Boltzmann型动力学描述的基础上,两流体理论的稀聚合物溶液。这种玻尔兹曼型描述使用基于准平衡的弛豫机制来模拟聚合物哑铃和溶剂分子之间的碰撞。该模型再现了所需的宏观方程的聚合物-溶剂混合物。建议的动力学计划导致一个数值算法,这是沿线的格子玻尔兹曼方法。最后,该算法被应用到描述扰动Kolmogorov流剖面的演变,从而我们恢复的聚合物溶液所表现出的主要弹性效应,具体地说,抑制原来的惯性不稳定性。

英文摘要:

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.

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