Flow of a Maxwell fluid between two side walls due to a suddenly moved plate

被引：34

作者：

Hayat, T. ^{[1
]}

Fetecau, C. ^{[1
,2
]}

Abbas, Z. ^{[1
]}

Ali, N. ^{[1
]}

机构：

[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

[2] Tech Univ Iasi, Dept Math, R-6600 Iasi, Romania

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 05期

关键词：

unsteady flow; Maxwell fluid; exact solution; moved wall; side walls;

D O I：

10.1016/j.nonrwa.2007.08.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The unsteady flow of a Maxwell fluid caused by a suddenly moved plane wall between two side walls perpendicular to the plane is considered. Closed form solution is developed employing the Fourier sine transforms. The solution obtained for large values of time is similar to the steady solution of a Newtonian fluid. The unsteady solution for a Newtonian fluid have been recovered as a limiting case by choosing lambda -> 0. The physical interpretation of the solution is presented through the graph and tables. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2288 / 2295

页数：8

共 15 条

[1] Bohme G., 2000, Stromungsmechanik Nicht-Newtonscher Fluide
[2] 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
[3] The Rayleigh-Stokes-problem for a Maxwell fluid
Fetecau, C
Zierep, J
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (06): : 1086 - 1093
[4] The first problem of Stokes for an Oldroyd-B fluid
Fetecau, C
Fetecau, C
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (10) : 1539 - 1544
[5] Decay of a potential vortex in a Maxwell fluid
Fetecau, C
Fetecau, C
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (07) : 985 - 990
[6] 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
[7] Fetecau C., 2004, P ROMANIAN ACAD A, V5, P13
[8] FETECAU C, NONLINEAR A IN PRESS
[9] Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model
Hayat, T
Nadeem, S
Asghar, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) : 153 - 161
[10] Some simple flows of an Oldroyd-B fluid
Hayat, T
Siddiqui, AM
Asghar, S
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2001, 39 (02) : 135 - 147

← 1 2 →