论文标题

流体粘弹性特性的新型一般建模:应用机械放松和液态水的低频振荡测量

A novel general modeling of the viscoelastic properties of fluids: application to mechanical relaxation and low frequency oscillation measurements of liquid water

论文作者

Aitken, Frederic, Volino, Ferdinand

论文摘要

本文的目的是计算流体粒子的平均位置(和方向)的时间依赖性,当将热力学平衡处的流体系统提交给机械作用。这种新颖的理论方法的起点是引入机械能函数。然后,使用惯性模式和动作温度的概念,并假设每种模式的机械能均衡原理,该模型预测了动态相变的存在,当培养基增加机械作用时,培养基的流变性行为从固体样转变为液体样制度。著名的牛顿行为被恢复为限制案例。目前的建模应用于对最近的液态水粘弹性数据的分析,该数据指出了封闭的几何形状中普遍的弹性行为。证明该模型可以与传输属性(粘度和自扩散系数)以连贯和统一的方式理解这些数据。得出的结论是,静止的任何有限的流体都具有静态剪切弹性,因此应将其视为固体样培养基。

The aim of this paper is to calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action. The starting point of this novel theoretical approach is the introduction of a mechanical energy functional. Then using the notions of inertial modes and action temperature, and assuming a mechanical energy equipartition principle per mode, the model predict the existence of a dynamic phase transition where the rheological behavior of the medium evolves from a solid-like to a liquid-like regime when the mechanical action is increased. The well-known Newtonian behavior is recovered as limiting case. The present modeling is applied to the analysis of recent liquid water viscoelastic data pointing out a prevalent elastic behavior in confined geometry. It is demonstrated that the model makes it possible to understand these data in a coherent and unified way with the transport properties (viscosity and self-diffusion coefficient). It is concluded that any finite volume of fluid at rest possesses a static shear elasticity and should therefore be considered as a solid-like medium.

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