中等密度惯性悬浮体流变学的Enskog动力学理论
Enskog kinetic theory of rheology for a moderately dense inertial suspension
摘要：
本文采用简单剪切流作用下中等密度惯性悬浮体的Enskog动力学理论作为分析体系流变特性的模型。背景流体对悬浮颗粒的影响是通过一个粘性阻力加上一个Langevin样的术语定义的背景温度建模。在先前的论文[Hayakawa等人，物理评论E 96，042903（2017）]，采用Grad矩量法，借助线性剪切速率展开，获得了一个理论，该理论与低密度和/或小剪切速率下硬球的事件驱动Langevin模拟结果吻合良好。然而，以前的方法有一个限制的适用性，高剪切速率和高密度制度。因此，在本文中，我们扩展了以前的工作，并发展了Grad的理论，包括高阶项的剪切速率。这显著地改善了理论预测，在高密度区域（体积分数小于或等于$0.4$）发现理论和模拟之间的定量一致。
英文摘要：
The Enskog kinetic theory for moderately dense inertial suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the background fluid on suspended particles is modeled via a viscous drag force plus a Langevin-like term defined in terms of the background temperature. In a previous paper [Hayakawa et al., Phys. Rev. E 96, 042903 (2017)], Grad's moment method with the aid of a linear shear-rate expansion was employed to obtain a theory which gave good agreement with the results of event-driven Langevin simulations of hard spheres for low densities and/or small shear rates. Nevertheless, the previous approach had a limitation of applicability to the high shear-rate and high density regime. Thus, in the present paper, we extend the previous work and develop Grad's theory including higher order terms in the shear rate. This improves significantly the theoretical predictions, a quantitative agreement between theory and simulation being found in the high-density region (volume fractions smaller than or equal to $0.4$).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
