Exact solutions for the unsteady axial flow of Non-Newtonian fluids through a circular cylinder

被引：25

作者：

Siddique, Imran ^{[1
]}

Sajid, Zamra ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math Sci, Lahore, Pakistan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期

关键词：

Fractional calculus; Generalized Oldroyd-B fluid; Velocity field; Exact solutions; Longitudinal shear stress; OLDROYD-B FLUID; VISCOELASTIC FLUIDS; MAXWELL MODEL; COUETTE-FLOW;

D O I：

10.1016/j.cnsns.2010.03.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The velocity field and the shear stress corresponding to the motion of a generalized Oldroyd-B fluid due to an infinite circular cylinder subject to a longitudinal time-dependent shear stress are established by means of the Laplace and finite Hankel transforms. The exact solutions, written under series form, can be easily specialized to give the similar solutions for generalized Maxwell and generalized second grade fluids as well as for ordinary Oldroyd-B. Maxwell, second grade and Newtonian fluids performing the same motion. Finally, some characteristics of the motion as well as the influence of the material parameters on the behavior of the fluid are shown by graphical illustrations. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：226 / 238

页数：13

共 46 条

[1]

Abramowitz M., 1964, Handbook of Mathematical Functions

[2]

Akhtar Waseem, 2009, Buletinul Institutului Politehnic din Iasi, Sectia III (Electrotehnica, Energetica, Electronica), V55, P11

[3]

AKHTAR W, 2008, JACA IN PRESS SEP

[4]

[Anonymous], FRACTIONAL CALCULUS

[5] A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY [J].

BAGLEY, RL ;

TORVIK, PJ .

JOURNAL OF RHEOLOGY, 1983, 27 (03) :201-210

[6] A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives [J].

Baleanu, Dumitru ;

Trujillo, Juan I. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (05) :1111-1115

[7]

Baleanu D, 2010, CENT EUR J PHYS, V8, P120, DOI [10.2478/s11534-009-0085-x, 10.2478/S11534-009-0085-X]

[8]

Bird R. B., 1987, Kinetic theory, V2

[9]

Bohme G, 2000, Stromungsmechanik nichtnewtonscher Fluide, V2

[10] Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions [J].

Chen, CI ;

Chen, CK ;

Yang, YT .

HEAT AND MASS TRANSFER, 2004, 40 (3-4) :203-209

← 1 2 3 4 5 →