达芬奇流体、追赶动力学和稠密颗粒流
Da Vinci Fluids, catch-up dynamics and dense granular flow
摘要：
我们介绍并研究了一种达芬奇流体，这种流体的耗散主要是由固体摩擦引起的。我们分析了离散模型的流变特性，然后将其粗粒化为连续体。我们发现，该模型产生的行为是致密颗粒流体的特征。特别地，它导致活塞流。分析了塞的形核机理及其发展过程。我们发现，插头边界一般扩大，我们计算的插头区域的增长率。在有效内摩擦系数相对均匀的系统中，我们发现塞区的线性尺寸随时间$^{1/3}$而增长。讨论了该模型对颗粒材料的适用性。
英文摘要：
We introduce and study a da Vinci Fluid, a fluid whose dissipation is dominated by solid friction. We analyse the flow rheology of a discrete model and then coarse-grain it to the continuum. We find that the model gives rise to behaviour that is characteristic of dense granular fluids. In particular, it leads to plug flow. We analyse the nucleation mechanism of plugs and their development. We find that plug boundaries generically expand and we calculate the growth rate of plug regions. In systems whose internal effective friction coefficient is relatively uniform we find that the linear size of plug regions grows as (time)$^{1/3}$. The suitability of the model to granular materials is discussed.
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