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

[1] Akhtar W, 2008, B MATH SOC SCI MATH, V51, P93
[2] EXACT SOLUTIONS FOR THE POISEUILLE FLOW OF A GENERALIZED MAXWELL FLUID INDUCED BY TIME-DEPENDENT SHEAR STRESS
Akhtar, W.
Fetecau, Corina
Awan, A. U.
[J]. ANZIAM JOURNAL, 2010, 51 (04) : 416 - 429
[3] [Anonymous], 1999, NASATP1999209424
[4] [Anonymous], 1999, FRACTIONAL DIFFERENT
[5] AXIAL COUETTE FLOW OF A GENERALIZED OLDROYD-B FLUID DUE TO A LONGITUDINAL TIME-DEPENDENT SHEAR STRESS
Awan, A. U.
Fetecau, Corina
Rubbab, Qammar
[J]. QUAESTIONES MATHEMATICAE, 2010, 33 (04) : 429 - 441
[6] Debnath L., 2007, INTEGRAL TRANSFORMS
[7] On some helical flows of Oldroyd-B fluids
Fetecau, C.
Fetecau, Corina
Vieru, D.
[J]. ACTA MECHANICA, 2007, 189 (1-2) : 53 - 63
[8] A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid
Fetecau, C.
Prasad, Sharat C.
Rajagopal, K. R.
[J]. APPLIED MATHEMATICAL MODELLING, 2007, 31 (04) : 647 - 654
[9] A new exact solution for the flow of a Maxwell fluid past an infinite plate
Fetecau, C
Fetecau, C
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (03) : 423 - 427
[10] Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
Haitao Qi
Hui Jin
[J]. ACTA MECHANICA SINICA, 2006, 22 (04) : 301 - 305

← 1 2 3 →