Rheology of Suspensions of Flat Elastic Particles
Rheology of Suspensions of Flat Elastic Particles
复制标题
扁平弹性颗粒悬浮液的流变学
DOI：
10.1103/physrevlett.131.194002
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发表时间：
2023
影响因子：
8.6
通讯作者：
Eggers J
中科院分区：
文献类型：
--
作者：
Eggers J
我们考虑牛顿流体中无相互作用的扁平弹性粒子的悬浮。我们将一个平面形状建模为三个珠子，根据斯托克斯定律由流动沿着，并由非线性弹簧连接，选择使得能量在该区域是二次的。与普通的哑铃模型，包括两个珠子连接的线性弹簧，我们解决了随机运动方程精确计算的应力张量的平面弹性颗粒悬浮液的本构关系。一个较低的对流时间导数自然出现的本构律的一部分，但令人惊讶的是，在强拉伸和强收缩流的流变响应是类似的经典Oldrophil-B模型与哑铃悬浮液。
We consider a suspension of noninteracting flat elastic particles in a Newtonian fluid. We model a flat shape as three beads, carried along by the flow according to Stokes law, and connected by nonlinear springs, chosen such that the energy is quadratic in the area. In analogy with common dumbbell models involving two beads connected by linear springs, we solve the stochastic equations of motion exactly to compute the constitutive law for the stress tensor of a flat elastic particle suspension. A lower convected time derivative naturally arises as part of the constitutive law, but surprisingly the rheological response in strong extensional and strong contracting flows is similar to that of the classical Oldroyd-B model associated with dumbbell suspensions.