Numerical analysis for electroosmotic flow of fractional Maxwell fluids

Yang Xiu; Qi Haitao; Jiang Xiaoyun

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Numerical analysis for electroosmotic flow of fractional Maxwell fluids

机译：分数麦克风流体电渗流量的数值分析

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The electroosmotic flow of fractional Maxwell fluid in a rectangular microchannel is studied in this paper. By means of the fractional Maxwell constitutive equation, and based on the experimental data, the nonlinear conjugate gradient method is proposed to get the viscoelastic parameters. Combined with the continuity equations and Cauchy momentum equations, the governing equations of velocity distribution are established. Besides, a fully discrete spectral method based on a difference method in the temporal direction and a Legendre spectral method in the spatial direction is introduced to solve the dimensionless governing equations. Finally, some results are presented to show the effectiveness of the proposed method. (C) 2017 Elsevier Ltd. All rights reserved.

机译：本文研究了矩形微通道中的分数麦克风流体的电渗流体。通过分数麦克斯韦本构方程，并基于实验数据，提出了非线性缀合物梯度方法以获得粘弹性参数。结合连续性方程和Cauchy动量方程，建立了速度分布的控制方程。此外，引入了基于时间方向上的差分方法的完全离散的光谱法和空间方向上的传奇谱法，以解决无量纲的控制方程。最后，提出了一些结果以表明所提出的方法的有效性。（c）2017 Elsevier Ltd.保留所有权利。

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来源
《Applied mathematics letters》 |2018年第2018期|共8页
作者
Yang Xiu; Qi Haitao; Jiang Xiaoyun;
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作者单位

Shandong Univ Sch Math Jinan 250100 Shandong Peoples R China;

Shandong Univ Sch Math &

Stat Weihai 264209 Peoples R China;

Shandong Univ Sch Math Jinan 250100 Shandong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Electroosmotic flow; Fractional Maxwell fluid; Nonlinear conjugate gradient method; Legendre spectral method;

机译：电渗流;分数麦克风液;非线性缀合物梯度法;Legendre谱法;

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1. Numerical analysis for electroosmotic flow of fractional Maxwell fluids [J] . Yang Xiu, Qi Haitao, Jiang Xiaoyun Applied mathematics letters . 2018,第期

机译：分数麦克风流体电渗流量的数值分析
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3. Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models [J] . Yanli QIAO, Xiaoping WANG, Huanying XU, 应用数学和力学（英文版） . 2021,第012期

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机译：电导传播的均匀时间渐近和数值方法表示时间依赖麦克斯韦方程组的高阶数值格式的分数弛豫和高效精确的阻抗边界条件

Numerical analysis for electroosmotic flow of fractional Maxwell fluids

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