通过在稠密悬浮液中巡航实现最佳耗散
Optimum dissipation by cruising in dense suspensions
摘要：
稠密的悬浮液在大的填充分数下倾向于剪切堵塞。然而，最近已经表明，各种振荡协议可以解除堵塞以及降低粘度和耗散。在这个数值工作中，我们问自己什么是最佳的剪切协议的耗散。我们发现，许多巡航协议的耗散类似于剪切协议与稳定的主剪切和叠加的交叉振荡，即使后者的粘度降低更可观。此外，我们发现，主振荡和垂直振荡之间的交替产生比上述两个协议高得多的耗散，但具有类似的粘度作为交叉振荡之一。虽然自组织已被证明可以最大限度地减少粘度，但我们的研究结果挑战了随机组织是减少耗散的潜在机制的想法。相反，剪切“脆弱性”与几何形状相结合似乎是关键因素，这解释了巡航协议的粘度和耗散的最小值的反直觉解耦。这项工作为一类新的高能效流协议铺平了道路。
英文摘要：
Dense suspensions tend to shear jam at large packing fractions. However, it has recently been shown that various oscillation protocols can unjam as well as reduce viscosity and dissipation. In this numerical work, we ask ourselves what is the optimum shear protocol in terms of dissipation. We show that many cruising protocols' dissipation are similar to shear protocols with a steady primary shear and superimposed cross oscillations, even though the latter's viscosity reduction is more considerable. Furthermore, we find that alternating between primary and perpendicular oscillations yields a much higher dissipation than the two protocols mentioned above, yet has similar viscosity as the cross-oscillatory one. While self-organization has been shown to minimize viscosity, our findings challenge the idea that random organization is the underlying mechanism for reducing dissipation. Instead, shear ``fragility'' combined with geometry seems to be the key ingredients, which explains the counter-intuitive decoupling of the minima of viscosity and dissipation for the cruising protocol. This work paves the way for a new class of highly-energy efficient flow protocols.
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