Couette flow of a generalized Oldroyd-B fluid due to constantly accelerated shear stress coupled with the pressure gradient

被引：1

作者：

Li, Chunrui ^{[1
,2
]}

Zheng, Liancun ^{[1
]}

Zhang, Xinxin ^{[2
]}

Niu, Jiajia ^{[1
,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：

PROGRESS IN POWER AND ELECTRICAL ENGINEERING, PTS 1 AND 2 | 2012年 / 354-355卷

关键词：

Couette flow; Fractional derivatives; Pressure gradient; Time-dependent; VISCOELASTIC FLUID; MODEL;

D O I：

10.4028/www.scientific.net/AMR.354-355.179

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

This paper presented an analysis for the couette flow of a generalized Oldroyd-B fluid within an infinite cylinder subject to a time-dependent shear stress with the influence of the intemal constantly decelerated pressure gradient. The exact solutions are established by means of the combine of the sequential fractional derivatives Laplace transform and finite Hankel transform and presented by integral and series form in terms of the Mittag-Leffler function. Moreover, the effects of various parameters are analyzed in detail by graphical illustrations.

引用

页码：179 / +

页数：2

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