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首页> 外文期刊>Physics of fluids >Electroosmotic flow of Phan-Thien-Tanner fluids at high zeta potentials: An exact analytical solution
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Electroosmotic flow of Phan-Thien-Tanner fluids at high zeta potentials: An exact analytical solution

机译：高Zeta电位的Phan-Thien-Tanner液体的电渗流量：精确的分析解决方案

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摘要

We present a mathematical model to study the electroosmotic flow of a viscoelastic fluid in a parallel plate microchannel with a high zeta potential, taking hydrodynamic slippage at the walls into account in the underlying analysis. We use the simplified Phan-Thien-Tanner (s-PTT) constitutive relationships to describe the rheological behavior of the viscoelastic fluid, while Navier's slip law is employed to model the interfacial hydrodynamic slip. Here, we derive analytical solutions for the potential distribution, flow velocity, and volumetric flow rate based on the complete Poisson-Boltzmann equation (without considering the frequently used Debye-HUckel linear approximation). For the underlying electrokinetic transport, this investigation primarily reveals the influence of fluid rheology, wall zeta potential as modulated by the interfacial electrochemistry and interfacial slip on the velocity distribution, volumetric flow rate, and fluid stress, as well as the apparent viscosity. We show that combined with the viscoelasticity of the fluid, a higher wall zeta potential and slip coefficient lead to a phenomenal enhancement in the volumetric flow rate. We believe that this analysis, besides providing a deep theoretical insight to interpret the transport process, will also serve as a fundamental design tool for microfluidic devices/systems under electrokinetic influence. Published by AIP Publishing.
机译：我们介绍了一种数学模型，用于研究平行板微通道中的粘弹性流体的电渗流，具有高Zeta电位，在底层中考虑在壁上的流体动力滑动。我们使用简化的Phan-Thien-Tanner（S-PTT）构成关系来描述粘弹性流体的流变行为，而Navier的滑动法用于模拟界面流体动力学滑动。这里，我们基于完整的Poisson-Boltzmann等式推导出用于潜在分布，流速和体积流量的分析解（不考虑常用的debye-huckel线性近似）。对于潜在的电动传输，该研究主要揭示了流体流变学，壁Zeta电位的影响，其由界面电化学和速度分布，体积流速和流体应力的界面滑动以及表观粘度。我们表明，与流体的粘弹性相结合，更高的壁Zeta电位和滑移系数导致体积流速的显着增强。我们认为，此分析除了提供深层理论上深入解释运输过程的理论洞察，还将作为电动影响下的微流体装置/系统的基本设计工具。通过AIP发布发布。

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  • 来源
    《Physics of fluids》 |2018年第6期|共10页
  • 作者

    Sarma Rajkumar; Deka Nabajit; Sarma Kuldeep; Mondal Pranab Kumar;

  • 作者单位

    Indian Inst Technol Guwahati Dept Mech Engn Gauhati 781039 Assam India;

    Natl Inst Technol Dept Mech Engn Silchar 788010 India;

    Tezpur Univ Dept Math Sci Sonitpur 784028 India;

    Indian Inst Technol Guwahati Dept Mech Engn Gauhati 781039 Assam India;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 流体力学;
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