Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel

被引：114
作者：
Qi, Haitao [1 ]
Xu, Mingyu
机构：
[1] Shandong Univ, Dept Appl Math & Stat, Weihai 264209, Peoples R China
[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2007年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
viscoelastic fluid; unsteady channel flow; fractional Maxwell model; exact solution;
D O I：
10.1016/j.mechrescom.2006.09.003
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The unsteady flow of viscoelastic fluid with the fractional derivative Maxwell model (FDMM) in a channel is studied in this note. The exact solutions are obtained for an arbitrary pressure gradient by means of the finite Fourier cosine transform and the Laplace transform. Two special cases of pressure gradient are discussed. Some results given by the classical models with integer-order are included in this note. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：210 / 212
页数：3
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