Department of Mechanical Engineering, MIT, Cambridge, MA, USA.
Soft Matter. 2016 Sep 28;12(36):7688-97. doi: 10.1039/c6sm01199c. Epub 2016 Aug 17.
We propose a model for the evolution of the conductivity tensor for a flowing suspension of electrically conductive particles. We use discrete particle numerical simulations together with a continuum physical framework to construct an evolution law for the suspension microstructure during flow. This model is then coupled with a relationship between the microstructure and the electrical conductivity tensor. Certain parameters of the joint model are fit experimentally using rheo-electrical conductivity measurements of carbon black suspensions under flow over a range of shear rates. The model is applied to the case of steady shearing as well as time-varying conductivity of unsteady flow experiments. We find that the model prediction agrees closely with the measured experimental data in all cases.
我们提出了一个用于导电颗粒流悬浮液电导率张量演化的模型。我们使用离散颗粒数值模拟和连续物理框架来构建悬浮液微结构在流动过程中的演化规律。然后，将该模型与微结构与电导率张量之间的关系耦合在一起。使用流变-电导率测量方法，通过在一系列剪切速率下对碳黑悬浮液进行实验，对联合模型的某些参数进行了拟合。该模型应用于稳态剪切以及非稳态流实验中的时变电导率的情况。在所有情况下，我们发现模型预测与测量的实验数据非常吻合。
