Exact solutions for MHD flow of generalized Oldroyd-B fluid due to an infinite accelerating plate

被引：39

作者：

Zheng, Liancun ^{[1
]}

Liu, Yaqing ^{[1
,2
]}

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：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 1-2期

关键词：

Oldroyd-B fluid; Exact solution; Fourier sine transform; Laplace transform; G and R functions;

D O I：

10.1016/j.mcm.2011.03.025

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents a research for the magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid due to an infinite accelerating plate. The motion of the fluid is produced by the infinite plate, which at time t = 0(+) begins to slide in its plane with a velocity At. The fractional calculus approach is introduced to establish the constitutive relationship of the Oldroyd-B fluid. The solutions are established by means of Fourier sine and Laplace transforms in terms of the G and R functions written as a direct sum of the Newtonian solution and the corresponding non-Newtonian solutions. When alpha = beta = 1, M = 0, the solutions corresponds to the ordinary Oldroyd-B fluids, while theta = 0 and lambda = 0 describe the Maxwell fluid and the generalized second grade fluid, as limiting cases of present results, respectively. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：780 / 788

页数：9

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