论文标题
聚合扩散的不稳定导致平面cOUTETE流动的弹性湍流
Polymeric diffusive instability leading to elastic turbulence in plane Couette flow
论文作者
论文摘要
弹性湍流是在没有惯性的情况下在稀聚合物溶液中观察到的混沌流量状态。它是通过圆形几何形状实验发现的，长期以来人们被认为需要平行流中有限的振幅扰动。在这里，我们在常用的Oldroyd-B和Fene-P模型中证明，可以通过线性不稳定性在简单的惯性剪切流中通过线性不稳定性来引发自我维持的状态，这是由于聚合物应力的小但非零扩散性引起的。数值模拟表明，不稳定性导致了三维自我维持的混乱状态，我们认为这是在壁挂，平行的，惯性的粘弹性流中首次报道的。
Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in parallel flows. Here we demonstrate, within the commonly-used Oldroyd-B and FENE-P models, that a self-sustaining chaotic state can be initiated via a linear instability in a simple inertialess shear flow caused by the presence of small but non-zero diffusivity of the polymer stress. Numerical simulations show that the instability leads to a three-dimensional selfsustaining chaotic state, which we believe is the first reported in a wall-bounded, parallel, inertialess viscoelastic flow.
