论文标题
在电气双层效应下旋转软微通道中混合的教程审查：变分积分方法
Tutorial Review of Mixing in a Rotating Soft Microchannel under Electrical Double Layer Effect: A Variational Calculus Approach
论文作者
论文摘要
我们研究了接枝聚电解质层对流动动力学的影响，及其对旋转微流体通道中基础混合的后果。为此，Sadeghi等人使用的方法。 （J. Fluid Mech。，第887，2020卷，第A13卷；物理学转化流体，第4（6）卷，2019年，2019年，063701-23），通过纳入了由多电解质层诱导的静电剂求解与不合格的条件的静电系统的非线性效应，并通过不高度诱导的静电剂进行了固定，该效应与不可能的范围内。该方法用于在变分积分方法的框架下，在地质塞流的渐近极限中获得速度分布。我们从定性评估和定量评估的角度分析混合动力学。对于定性估计，我们专注于庞加莱地图分析，而混合方法的熵用于混合定量。结果表明，与离子溶液接触的接枝聚电解质层会导致电气双层的发展，该双层与外部电场相互作用后，加强了流体通道中的电渗水泵。这种聚电解质层调节了强烈的电泵泵，其内在特征是向基础传输提供摩擦拖动，有助于调节原发性以及在旋转力影响下通道中的二次流。随着电渗水泵送和摩擦阻力的改变，可以通过移植的聚电解质层的厚度调节，我们获得了不同类型的二级流量涡流配置，即标准的双涡流，标准的双涡流，哑铃形涡流和组合器之间的过渡状态。这些涡旋的结构和优势发生了重大变化，可调节当前配置中的混沌混合
We study the effect of the grafted polyelectrolyte layer on the flow dynamics, and its consequences on underlying mixing in the rotating microfluidic channel. For this analysis, the method used by Sadeghi et al. (J. Fluid Mech., vol. 887, 2020, pp. A13; Phys. Rev. Fluids., vol. 4 (6), 2019, 063701-23), is modified by incorporating the non-linear effect stemming from the polyelectrolyte layer induced electrostatics to solve the coupled system of equations, integrated with the non-homogeneous boundary conditions. This method is used to obtain the velocity distribution in the asymptotic limit of geostrophic plug flow under the framework of variational calculus approach. We analyze the mixing dynamics from the perspective of both qualitative assessment and quantitative evaluation. For the qualitative estimation, we focus on the Poincaré map analysis, while the entropy of mixing approach is used for the mixing quantification. Results show that the grafted polyelectrolyte layer in contact with the ionic solution leads to the development of an electrical double layer, which upon interacting with the external electric field, strengthens the electroosmotic pumping in the fluidic channel. Such polyelectrolyte layer modulated strong electroosmotic pumping together with its intrinsic feature of offering a frictional drag to the underlying transport helps to modulate the primary as well as the secondary flows in the channel under the influence of rotational forces. With an alteration in the electroosmotic pumping and frictional drag force, tuneable through the thickness of the grafted polyelectrolyte layer, we obtain different types of secondary flow vortex configurations viz., a standard double-vortex, dumbbell-shaped vortex and the transition state between the formers. A significant change in the structure and strengths of these vortices modulates the chaotic mixing in the present configuration
