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Rheology of non-Brownian suspensions of rough frictional particles under shear reversal: A numerical study

机译:剪切作用下粗糙摩擦颗粒的非布朗悬浮液的流变学:数值研究

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We perform particle scale simulations of suspensions submitted to shear reversal. The simulations are based on the Force Coupling method, adapted to account for short range lubrication interactions together with direct contact forces between particles, including surface roughness, contact elasticity, and solid friction. After shear reversal, three consecutive steps are identified in the viscosity transient: An instantaneous variation, followed by a rapid contact force relaxation, and finally a long time evolution. The separated contributions of hydrodynamics and contact forces to the viscosity are investigated during the transient, allowing a qualitative understanding of each step. In addition, the influence of the contact law parameters (surface roughness height and friction coefficient) on the transient is evaluated. Concerning the long time transient, the difference between the steady viscosity and minimum viscosity is shown to be proportional to the contact contribution to the steady viscosity, allowing in principle easy determination of the latter in experiments. The short time evolution is studied as well. After the shear reversal, the contact forces vanish over a strain that is very short compared to the typical strain of the long time transient, allowing to define an apparent step between the viscosity before shear reversal and after contact force relaxation. This step is shown to be an increasing function of the friction coefficient between particles. Two regimes are identified as a function of the volume fraction. At low volume fraction, the step is small compared to the steady contact viscosity, in agreement with a particle pair model. As the volume fraction increases, the value of the viscosity step increases faster than the steady contact viscosity, and, depending on the friction coefficient, may approach it. (C) 2016 The Society of Rheology.
机译:我们对进行剪切逆转的悬浮液进行粒度模拟。这些模拟基于力耦合方法,适用于解决短程润滑相互作用以及颗粒之间的直接接触力,包括表面粗糙度,接触弹性和固体摩擦。剪切反向后,在粘度瞬变中确定了三个连续的步骤:瞬时变化,接着是快速的接触力松弛,最后是长时间的演变。在瞬态过程中研究了流体动力学和接触力对粘度的不同贡献,从而可以定性地理解每个步骤。另外,评估了接触定律参数(表面粗糙度高度和摩擦系数)对瞬态的影响。关于长时间的瞬态,稳定粘度和最小粘度之间的差异显示与稳定粘度的接触贡献成正比,原则上可以在实验中轻松确定后者。还研究了短时间演变。在反向剪切之后,与长时间瞬态的典型应变相比,接触力在非常短的应变上消失,从而允许在反向剪切之前和接触力松弛之后的粘度之间定义一个明显的阶跃。该步骤显示为颗粒之间摩擦系数的增加函数。根据体积分数确定了两种状态。与颗粒对模型一致,在低体积分数下,与稳定接触粘度相比,步长较小。随着体积分数的增加,粘度阶跃值的增加快于稳定接触粘度,并且取决于摩擦系数,可以接近该值。 (C)2016流变学学会。

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