论文标题
一种对简单液体非牛顿行为进行建模的新方法:应用于低剪切速率的液体水粘度
A novel approach for modeling the non-Newtonian behavior of simple liquids: application to liquid water viscosity from low to high shear rates
论文作者
论文摘要
本文的目的是为简单液体的流变行为介绍与施加的剪切应力或应变振幅的函数的函数。首先将弹性模式理论(参考文献6)推广,以考虑到在流动实验中,将机械能注入最初在热力学平衡处的系统中。这种广义理论可以看作是通过测量与波动和耗散之间耦合相关的扰动的一般问题的特定方面。这种概括导致模型的“限制”特征。然后将其与惯性模式理论(参考文献7)结合使用。因此,获得的形式主义允许对液体的流变行为进行建模,这是在广泛的速度梯度上,包括与牛顿政权相对应的中间狭窄范围。作为实验测试,进行了两种移动转子流变体的粘度测量。仅显示在室温下用液态水获得的数据,并在此进行定量分析。还表明液态N-辛烷具有与液态水相同的定性行为。在附录中,讨论了该理论与量子力学和湍流现象的联系,并引入了粘性质量的概念。
The aim of this paper is to present a modeling for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory (Ref. 6) is first generalized to take into account the fact that during a flow experiment, mechanical energy is injected in a system initially at thermodynamic equilibrium. This generalized theory can be seen as a particular aspect of the general problem of perturbation by the measurement, associated with that of the coupling between fluctuation and dissipation. This generalization leads to a "finitary" character of the model. It is then combined with the inertial mode theory (Ref. 7). The formalism thus obtained allows to model the rheological behavior of liquids over a wide range of velocity gradients, including the intermediate narrow range corresponding to the Newtonian regime. As experimental tests, viscosity measurements with two kinds of moving rotor rheometers were performed. Only data obtained with liquid water at room temperature are presented and quantitatively analyzed here. It is also shown that liquid n-octane exhibits the same qualitative behaviors as those of liquid water. In the appendices, connection of this theory with quantum mechanics and turbulence phenomena are discussed, and the notion of viscous mass is introduced.