UNSTEADY FLOW OF A MAXWELL FLUID WITH FRACTIONAL DERIVATIVES IN A CIRCULAR CYLINDER MOVING WITH A NONLINEAR VELOCITY

被引：9

作者：

Athar, M. ^{[1
]}

Awan, A. U. ^{[2
]}

Fetecau, Corina ^{[3
]}

Rana, Mehwish ^{[4
]}

机构：

[1] Univ Educ, Div Sci & Technol, Lahore, Pakistan

[2] Univ Punjab, Dept Math, Lahore, Pakistan

[3] Tech Univ Gh Asachi Iasi, Dept Theoret Mech, Iasi, Romania

[4] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

来源：

QUAESTIONES MATHEMATICAE | 2014年 / 37卷 / 01期

关键词：

Maxwell fluid with fractional derivatives; velocity field; shear stress; exact solutions; GENERALIZED 2ND-GRADE FLUID; AXIAL COUETTE-FLOW; OLDROYD-B FLUID; 2 SIDE WALLS; VISCOELASTIC FLUID; ROTATIONAL FLOW; MODEL; MOTION;

D O I：

10.2989/16073606.2014.871445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine the velocity field and the shear stress corresponding to the unsteady flow of a Maxwell fluid with fractional derivatives driven by an infinite circular cylinder that slides along its axes with a velocity At-alpha. The general solutions, obtained by means of integral transforms, satisfy all imposed initial and boundary conditions. They can be easily particularized to give the similar solutions for ordinary Maxwell and Newtonian fluids. Finally, the influence of the parameters alpha and beta on the fluid motion as well as a comparison between models is underlined by graphical illustrations.

引用

页码：139 / 156

页数：18

共 29 条

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