二维粘性泡沫的剪切局部化及其与连续介质模型的关系
Shear localisation with 2D Viscous Froth and its relation to the Continuum Model
摘要：
使用二维粘性泡沫（VF）模型对单分散和多分散（$μ_2(A)=0.13\pm0.002$）二维泡沫样品进行简单剪切模拟。这些模拟清楚地证明了剪切局部化。局部化长度对产品$λV$（剪切速度$V$倍外壁摩擦系数$λ$）的依赖性进行检查，并示出同意定性与其他已发表的实验数据。在低$λV$下发现了广泛的局部化长度，这种效应归因于不同屈服应力和极限应力的存在。一般的连续统模型扩展到包括这样的效果，其参数随后与VF模型的参数相关。的Herschel-Bulkley指数的$a=0.3$示出准确地描述所观察到的行为。对于单分散泡沫样品，发现局部化长度与$λV$无关。
英文摘要：
Simulations of monodisperse and polydisperse ($μ_2(A)=0.13\pm0.002$) 2D foam samples undergoing simple shear are performed using the 2D Viscous Froth (VF) Model. These simulations clearly demonstrate shear localisation. The dependence of localisation length on the product $λV$ (shearing velocity $V$ times external wall friction coefficient $λ$) is examined and is shown to agree qualitatively with other published experimental data. A wide range of localisation lengths is found at low $λV$, an effect which is attributed to the existence of distinct yield and limit stresses. The general Continuum Model is extended to incorporate such an effect and its parameters are subsequently related to those of the VF Model. A Herschel-Bulkley exponent of $a=0.3$ is shown to accurately describe the observed behaviour. The localisation length is found to be independent of $λV$ for monodisperse foam samples.
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