Some accelerated flows for a generalized Oldroyd-B fluid

被引：38

作者：

Khan, M. ^{[1
]}

Ali, S. Hyder ^{[1
]}

Qi, Haitao ^{[2
]}

机构：

[1] Quaid I Azam Univ 45320, Dept Math, Islamabad, Pakistan

[2] Shandong Univ, Dept Appl Math, Weihai 264209, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期

关键词：

Exact solutions; Generalized Oldroyd-B fluid; Accelerated flows; Fractional calculus; UNSTEADY UNIDIRECTIONAL FLOWS; MHD FLOW; 2ND-GRADE; MODEL; MOTION; PLATE;

D O I：

10.1016/j.nonrwa.2007.11.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct the exact solutions for the accelerated flows of a generalized Oldroyd-B fluid. The fractional calculus approach is used in the constitutive relationship of a viscoelastic fluid. The velocity field and the adequate tangential stress that is induced by the flow due to constantly accelerating plate and flow due to variable accelerating plate are determined by means of discrete Laplace transform. In the special cases when alpha = beta = 1, as it was to be expected, our solutions tend to the similar solutions for an Oldroyd-B fluid. Moreover, the corresponding solutions for a Maxwell, second grade and Newtonian fluids appear as the limiting cases of the presented results. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：980 / 991

页数：12

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