Numerical analysis for electroosmotic flow of fractional Maxwell fluids

被引：56
|
作者：
Yang, Xiu [1 ]
Qi, Haitao [2 ]
Jiang, Xiaoyun [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 78卷
基金：
中国国家自然科学基金;
关键词：
Electroosmotic flow; Fractional Maxwell fluid; Nonlinear conjugate gradient method; Legendre spectral method; VISCOELASTIC FLUID; RECTANGULAR MICROCHANNEL; EXPERIMENTAL VALIDATION; MODEL; TRANSPORT; COAL;
D O I：
10.1016/j.aml.2017.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1 / 8
页数：8
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