Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate

被引：69
|
作者：
Zheng, Liancun [1 ]
Zhao, Fangfang [1 ]
Zhang, Xinxin [2 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Generalized Maxwell fluid; Exact solutions; Laplace transform; G and R functions; OLDROYD-B FLUID; MODEL;
D O I：
10.1016/j.nonrwa.2010.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the analytical solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate. The fractional calculus approach is used to establish the constitutive relationship of fluid model. Exact solutions are presented for the velocity field and the corresponding shear stress in series forms in terms of generalized G and R functions by using the discrete inverse Laplace transform method. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3744 / 3751
页数：8
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