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arXiv 0902.0192cond-mat.soft
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振荡板附近过冷polymer熔体的流变学:多尺度模拟的应用

Rheology of a supercooled polymer melt near an oscillating plate: an application of multiscale modeling

Shugo Yasuda, Ryoichi Yamamoto

摘要:

采用分子动力学(MD)和计算流体力学(CFD)的混合模拟方法,模拟了由短链和10个珠粒组成的过冷聚合物熔体在振荡平板附近的流动行为。在该方法中,宏观动力学通过使用CFD来求解,但是,代替使用任何本构方程,通过使用在CFD计算中的每个晶格节点处关联的非平衡MD模拟来计算局部应力。可以看出,熔体的局部流变性在振荡板附近产生的薄粘性扩散层中变化很大。研究还发现,熔体的局部流变分为三个不同的区域,即,粘性流体、粘弹性液体和粘弹性固体状态,根据局部Deborah数$De$,其用Rouse或$α$弛豫时间、$τ_R$或$τ_α$以及板$ω$的角频率定义为$De^R$ = $ωτ_R$或$De^α$ = $ωτ_α$。当$De^R\lesssim 1$时,熔体表现为粘性流体,并且在$De^α\simeq 1$周围发生液体状和固体状状态之间的交叉。

英文摘要:

The behavior of a supercooled polymer melt composed of short chains with ten beads near an oscillating plate are simulated by using a hybrid simulation of molecular dynamics (MD) and computational fluid dynamics (CFD). In the method, the macroscopic dynamics are solved by using CFD, but, instead of using any constitutive equations, a local stress is calculated by using a non-equilibrium MD simulation associated at each lattice node in the CFD calculation. It is seen that the local rheology of the melt varies considerably in a thin viscous diffusion layer that arises near an oscillating plate. It is also found that the local rheology of the melt is divided into the three different regimes, i.e., the viscous fluid, viscoelastic liquid, and viscoelastic solid regimes, according to the local Deborah number $De$, which is defined with the Rouse or $α$ relaxation time, $τ_R$ or $τ_α$, and the angular frequency of the plate $ω$ as $De^R$=$ωτ_R$ or $De^α$=$ωτ_α$. The melt behaves as a viscous fluid when $De^R\lesssim 1$, and the crossover between the liquid-like and solid-like regime takes place around $De^α\simeq 1$.

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