This article presents the theoretical analysis of two-dimensional peristaltic transport of two-fluids in a flexible tube under the influence of electro-osmotic force. The flow domain is composed of two regions, namely, the core region and the peripheral region. The Newtonian and the FENE-P models are used to describe the rheology of fluids in the peripheral and the core regions, respectively. Governing flow equations corresponding to each region are developed under the assumption of long wavelength and low-Reynolds number. The interface between the two regions is computed numerically by employing a system of non-linear algebraic equations. The influence of relevant controlling parameters on pressure gradient, interface, trapping, and reflux is highlighted graphically and explained in detail. Special attention is given to estimate the effects of viscoelastic parameter of the core region fluid in the presence of electro-osmotic environment. Our investigation indicates an augmentation in the pressure loss at a zero volumetric flow rate with growing the viscoelastic and occlusion parameters. Moreover, trapping, reflux, and pumping efficiency are found to increase by increasing the electro-osmotic and viscoelastic parameters. The analysis presented here may be helpful in controlling the micro-vascular flow during the fractionation of blood into plasma (in the peripheral layer) and erythrocytes (core layer). This study may also have potential applications in areas such as electrophoresis, hematology, design, and improvement of bio-mimetic electro-osmotic pumps.This article presents the theoretical analysis of two-dimensional peristaltic transport of two-fluids in a flexible tube under the influence of electro-osmotic force. The flow domain is composed of two regions, namely, the core region and the peripheral region. The Newtonian and the FENE-P models are used to describe the rheology of fluids in the peripheral and the core regions, respectively. Governing flow equations corresponding to each region are developed under the assumption of long wavelength and low-Reynolds number. The interface between the two regions is computed numerically by employing a system of non-linear algebraic equations. The influence of relevant controlling parameters on pressure gradient, interface, trapping, and reflux is highlighted graphically and explained in detail. Special attention is given to estimate the effects of viscoelastic parameter of the core region fluid in the presence of electro-osmotic environment. Our investigation indicates an augmentation in the pressure loss at...

中文翻译：

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FENE-P流体在轴对称管内两层电渗蠕动的理论分析

本文介绍了在电渗力影响下柔性管中两种流体的二维蠕动传输的理论分析。流域由两个区域组成，即核心区域和外围区域。牛顿模型和 FENE-P 模型分别用于描述外围和核心区域的流体流变学。在长波长和低雷诺数的假设下，开发了对应于每个区域的控制流动方程。两个区域之间的界面是通过使用非线性代数方程组进行数值计算的。相关控制参数对压力梯度、界面、捕集和回流的影响以图形方式突出显示并详细解释。特别注意估计存在电渗环境时核心区域流体的粘弹性参数的影响。我们的研究表明，随着粘弹性和闭塞参数的增加，零体积流量下的压力损失会增加。此外，发现通过增加电渗和粘弹性参数来增加捕集、回流和泵送效率。此处介绍的分析可能有助于在将血液分离为血浆（在外周层）和红细胞（核心层）过程中控制微血管流动。这项研究也可能在电泳、血液学、仿生电渗泵的设计和改进等领域具有潜在应用。本文介绍了在电渗力影响下柔性管中两种流体的二维蠕动传输的理论分析。流域由两个区域组成，即核心区域和外围区域。牛顿模型和 FENE-P 模型分别用于描述外围和核心区域的流体流变学。在长波长和低雷诺数的假设下，开发了对应于每个区域的控制流动方程。两个区域之间的界面是通过使用非线性代数方程组进行数值计算的。相关控制参数对压力梯度、界面、捕集和回流的影响以图形方式突出显示并详细解释。特别注意估计存在电渗环境时核心区域流体的粘弹性参数的影响。我们的调查表明压力损失在...