平行平板微通道中粘弹性流体电渗/压力驱动混合流动的解析解：使用Oldroyd和Jaumann时间导数的麦克斯韦模型

Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives.

作者信息

Casas Laura, Ortega José A, Gómez Aldo, Escandón Juan, Vargas René O

机构信息

SEPI-ESIME Zacatenco, Instituto Politécnico Nacional, Departamento de Diseño, Av. Luis Enrique Erro S/N, Unidad Profesional Adolfo López Mateos, Zacatenco, Alcaldía Gustavo A. Madero, Ciudad de México 07738, Mexico.

Universidad Nacional Autónoma de México, FES Cuautitlán, Departamento de Ingeniería, Sección Mecánica, Av. Teoloyucan Km 2.5, Col. San Sebastián Xhala, Cuautitlán Izcalli 54714, Estado de México, Mexico.

出版信息

Micromachines (Basel). 2020 Oct 31;11(11):986. doi: 10.3390/mi11110986.

DOI:10.3390/mi11110986

PMID:33142886

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7692626/

Abstract

In the present work, an analytical approximate solution of mixed electroosmotic/pressure driven flow of viscoelastic fluids between a parallel plates microchannel is reported. Inserting the Oldroyd, Jaumann, or both time derivatives into the Maxwell model, important differences in the velocity profiles were found. The presence of the shear and normal stresses is only close to the wall. This model can be used as a tool to understand the flow behavior of low viscosity fluids, as most of them experiment on translation, deformation and rotation of the flow. For practical applications, the volumetric flow rate can be controlled with two parameters, namely the gradient pressure and the electrokinetic parameter, once the fluid has been rheologically characterized.

摘要

在本研究中，报道了平行板微通道间粘弹性流体的混合电渗/压力驱动流动的解析近似解。将奥尔德罗伊德、若曼或两者的时间导数代入麦克斯韦模型后，发现速度分布存在重要差异。剪切应力和法向应力仅在靠近壁面处存在。该模型可作为理解低粘度流体流动行为的工具，因为大多数低粘度流体都经历流动的平移、变形和旋转实验。对于实际应用，一旦流体的流变特性得到表征，体积流量就可以通过两个参数来控制，即压力梯度和电动参数。