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Unified rheology of vibro-fluidized dry granular media: From slow dense flows to fast gas-like regimes

机译:振动流化干燥颗粒介质的统一流变学:从缓慢的密集流动到快速的类似气体的流态

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摘要

Granular media take on great importance in industry and geophysics, posing a severe challenge to materials science. Their response properties elude known soft rheological models, even when the yield-stress discontinuity is blurred by vibro-fluidization. Here we propose a broad rheological scenario where average stress sums up a frictional contribution, generalizing conventional μ(I)-rheology, and a kinetic collisional term dominating at fast fluidization. Our conjecture fairly describes a wide series of experiments in a vibrofluidized vane setup, whose phenomenology includes velocity weakening, shear thinning, a discontinuous thinning transition, and gaseous shear thickening. The employed setup gives access to dynamic fluctuations, which exhibit a broad range of timescales. In the slow dense regime the frequency of cage-opening increases with stress and enhances, with respect to μ(I)-rheology, the decrease of viscosity. Diffusivity is exponential in the shear stress in both thinning and thickening regimes, with a huge growth near the transition.
机译:颗粒介质在工业和地球物理学中占有重要地位,对材料科学构成了严峻挑战。即使当屈服应力不连续性因振动流化而变得模糊时,它们的响应特性仍无法使用已知的软流变模型。在这里,我们提出了一种宽泛的流变方案,其中平均应力总结了摩擦作用,推广了常规的μ(I)-流变学,而动力学碰撞项占主导地位的快速流化作用。我们的猜想公平地描述了在振动流化叶片装置中进行的一系列实验,其现象学包括速度减弱,剪切稀化,不连续的稀疏转变和气态剪切增稠。使用的设置可以访问动态波动,动态波动表现出很大的时标范围。在缓慢的致密状态下,笼打开的频率随着应力的增加而增加,就μ(I)流变而言,增加了粘度的降低。在稀化和增稠状态下,剪切应力的扩散系数都是指数的,在过渡附近有巨大的增长。

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