Exact solutions for unsteady flow of a fractional maxwell fluid through moving co- Axial circular cylinders

被引：0

作者：

Imran M.A. ^{[1
]}

Tahir M. ^{[2
]}

Javaid M. ^{[2
]}

Imran M. ^{[1
]}

机构：

[1] Department of Mathematics, University of Management and Technology, Lahore

[2] Department of Mathematics, Government College University, Faisalabad

来源：

Journal of Computational and Theoretical Nanoscience | 2016年 / 13卷 / 05期

关键词：

Annulus; Fractional maxwell fluid; Laplace and finite hankel transforms; Shear stress; Velocity field;

D O I：

10.1166/jctn.2016.5006

中图分类号：

学科分类号：

摘要：

The purpose of this proposed investigation is to study the longitudinal flow of a fractional Maxwell fluid, between two infinite coaxial circular cylinders. The solutions will be determined by applying the Laplace and finite Hankel transforms. Initially both the cylinders are at rest and after t = 0 both cylinders begin to translate along their common axis. The solutions that have been obtained are presented in terms of generalized G functions. Moreover, these solutions satisfy both the governing differential equation and all imposed initial and boundary conditions. The corresponding solutions for ordinary Maxwell and Newtonian fluids are obtained as limiting case of our present analysis. Furthermore, the solutions for the motion between the cylinders, when one of them is at rest is also obtained from our general solutions. Finally, some graphically representations confirm the above assentations. Copyright © 2016 American Scientific Publishers All rights reserved.

引用

页码：3405 / 3413

页数：8

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