Exact solution on unsteady Couette flow of generalized Maxwell fluid with fractional derivative

被引：18
|
作者：
Shaowei, W. [1 ]
Mingyu, X. [1 ]
机构：
[1] Shandong Univ, Inst Appl Math & Syst Sci, Jinan 250100, Peoples R China
来源：
ACTA MECHANICA | 2006年 / 187卷 / 1-4期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1007/s00707-006-0332-9
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper the unsteady Couette flow of a generalized Maxwell fluid with fractional derivative (GMF) is studied. The exact solution is obtained with the help of integral transforms (Laplace transform and Weber transform) and generalized Mittag-Leffler function. It was shown that the distribution and establishment of the velocity is governed by two non-dimensional parameters eta, b and fractional derivative alpha of the model. The result of classical (Newtonian fluid and standard Maxwell fluid) Couette flow can be obtained as a special case of the result given by this paper, and the decaying of the unsteady part of GMF displays power law behavior, which has scale invariance.
引用
收藏
页码：103 / 112
页数：10
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