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Transport and tumbling of polymers in viscoelastic shear flow.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-10 , DOI: 10.1103/physreve.102.012605
Sadhana Singh 1 , R K Singh 1, 2 , Sanjay Kumar 1
Affiliation  

Polymers in shear flow are ubiquitous and we study their motion in a viscoelastic fluid under shear. Employing Hookean dumbbells as representative, we find that the center-of-mass motion follows: xc2(t)γ̇2tα+2, generalizing the earlier result: xc2(t)γ̇2t3(α=1). Here 0<α<1 is the coefficient defining the power-law decay of noise correlations in the viscoelastic media. Motion of the relative coordinate, on the other hand, is quite intriguing in that xr2(t)tβ with β=2(1α), for small α. This implies nonexistence of the steady state, making it inappropriate for addressing tumbling dynamics. We remedy this pathology by introducing a nonlinear spring with FENE-LJ interaction and study tumbling dynamics of the dumbbell. We find that the tumbling frequency exhibits a nonmonotonic behavior as a function of shear rate for various degrees of subdiffusion. We also find that this result is robust against variations in the extension of the spring. We briefly discuss the case of polymers.

中文翻译:

聚合物在粘弹性剪切流中的运输和翻滚。

剪切流中的聚合物无处不在,我们研究在剪切作用下的粘弹性流体中它们的运动。以胡克哑铃为代表,我们发现质心运动如下:XC2Ťγ̇2Ťα+2,将先前的结果归纳为: XC2Ťγ̇2Ť3α=1个。这里0<α<1个是定义粘弹性介质中噪声相关性的幂律衰减的系数。另一方面,相对坐标的运动非常吸引人X[R2ŤŤββ=21个-αα。这意味着不存在稳态,使其不适用于解决翻滚动力学问题。我们通过引入具有FENE-LJ相互作用的非线性弹簧并研究哑铃的翻滚动力学来纠正这种病理。我们发现,对于不同程度的子扩散,翻滚频率展现出非单调行为作为剪切速率的函数。我们还发现,该结果对于抵抗弹簧延伸的变化是有力的。我们简要讨论聚合物的情况。
更新日期:2020-07-10
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