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arXiv 2103.13169cond-mat.softcond-mat.stat-mech
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拉伸流中粒状液体的流变学:超越$μ(\mathcal{I})$定律

Rheology of granular liquids in extensional flows: Beyond the $μ(\mathcal{I})$-law

Olivier Coquand, Matthias Sperl

摘要:

颗粒积分通过瞬态(GITT)形式主义给出了一个理论描述的流变学的中等密度的颗粒流和悬浮液。在这项工作中,我们扩展了GITT方程的情况下,简单的剪切流研究之前。应用这一特定的例子拉伸流,我们表明,预测的行为是有点不同的,从更经常研究的简单剪切的情况下,所示的可能性的非单调演化的有效摩擦系数$μ$与惯性数$\mathcal{I}$。通过将GITT方程简化为简单的玩具模型,我们提供了适用于任何类型流动变形的$μ(\mathcal{I})$定律的推广。我们的分析还包括一个研究的特劳顿比,这是表现得非常相似的致密的胶体悬浮液。

英文摘要:

The Granular Integration Through Transients (GITT) formalism gives a theoretical description of the rheology of moderately dense granular flows and suspensions. In this work, we extend the GITT equations beyond the case of simple shear flows studied before. Applying this to the particular example of extensional flows, we show that the predicted behavior is somewhat different from that of the more frequently studied simple shear case, as illustrated by the possibility of non monotonous evolution of the effective friction coefficient $μ$ with the inertial number $\mathcal{I}$. By the reduction of the GITT equations to simple toy-models, we provide a generalization of the $μ(\mathcal{I})$-law true for any type of flow deformation. Our analysis also includes a study of the Trouton ratio, which is shown to behave quite similarly to that of dense colloidal suspensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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