标题： 剪切作用下搅拌颗粒介质的流变区域 显示英文标题

标题： Rheological regimes in agitated granular media under shear

摘要： 扰动颗粒介质具有丰富的流变性：在低剪切速率和密度下表现出牛顿行为，在高密度下产生屈服应力，并在快速剪切时转变为巴格诺尔德型剪切增稠，这使得它们难以被纳入一个理论框架中。 我们测量了气态流化玻璃粒子的流变特性，覆盖了五个数量级的剪切速率。 通过比较流化引起的扰动与布朗扰动，我们表明所有流变区域都可以由两个无量纲数——佩克莱特数$\Pe$和剪切功率与流化功率的比值$\Pi$——来区分，并提出了一种本构关系，能够在统一框架中定性和定量地捕捉所有流动行为。 显示英文摘要

摘要： Agitated granular media have a rich rheology: they exhibit Newtonian behavior at low shear rate and density, develop a yield stress at high density, and cross over to Bagnoldian shear thickening when sheared rapidly -- making them challenging to encompass in one theoretical framework. We measure the rheology of air-fluidized glass particles, spanning five orders of magnitude in shear rate. By comparing fluidization-induced to Brownian agitation, we show that all rheological regimes can be delineated by two dimensionless numbers -- the Peclet number, $\Pe$, and the ratio of shear-to-fluidization power, $\Pi$ -- and propose a constitutive relation that captures all flow behaviors, qualitatively and quantitatively, in one unified framework.