论文标题
在低雷诺数下使用复杂的液体线性弹性板的剥离
Peeling of linearly elastic sheets using complex fluids at low Reynolds numbers
论文作者
论文摘要
我们研究了在低雷诺数下的两个线性弹性片的非牛顿流体的瞬时流体结构相互作用（FSI）。考虑了两种不同的非牛顿液；简化的SPTT模型，以及具有剪切薄粘度的非弹性流体（广义牛顿流体）。在板之间的小间隙的限制下，我们调用润滑近似，并在压力控制流的启动过程中为两张纸之间的间隙高度求解。我们观察到的是，对于施加到板入口上的冲动压力，当流体是牛顿时，剥离的前部会扩散地向纸板的末端移动。但是，当人们检查剪切稀疏的复杂流体时，繁殖前端会及时移动，但由于繁殖速度较大的数量级，最终会更快地到达终点。我们提供缩放分析和相似性解决方案，以根据板弹性，WI数字（用于SPTT流体）和剪切变薄的指数（用于通用的牛顿流体）来描述几种剥离方案。总而言之，这项研究的目的是为实验者提供一种知识系统来描述某种类别的复杂流体的剥离特征。
We investigate the transient, fluid structure interaction (FSI) of a non-Newtonian fluid peeling two linearly elastic sheets at low Reynolds numbers. Two different non-Newtonian fluids are considered; a simplified sPTT model, and an inelastic fluid with shear thinning viscosity (generalized Newtonian fluid). In the limit of small gap between the sheets, we invoke a lubrication approximation and numerically solve for the gap height between the two sheets during the start-up of a pressure-controlled flow. What we observe is that for an impulse pressure applied to the sheet inlet, the peeling front moves diffusively toward the end of the sheet when the fluid is Newtonian. However, when one examines a complex fluid with shear thinning, the propagation front moves sub-diffusively in time , but ultimately reaches the end faster due to an order of magnitude larger pre-factor for the propagation speed. We provide scaling analyses and similarity solutions to delineate several regimes of peeling based on the sheet elasticity, Wi number (for sPTT fluid), and shear thinning exponent (for generalized Newtonian fluid). To conclude, this study aims to afford to the experimentalist a system of knowledge to delineate the peeling characteristics of a certain class of complex fluids.
