Exact solutions of second grade aligned MHD fluid with prescribed vorticity

被引：13

作者：

Hayat, T. ^{[1
,2
]}

Naeem, I. ^{[2
]}

Ayub, M. ^{[2
]}

Siddiqui, A. M. ^{[3
]}

Asghar, S. ^{[1
,4
]}

Khalique, C. M. ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

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

[3] Penn State Univ, Dept Math, York, PA 17403 USA

[4] COMSATS Inst Informat Technol, Dept Math Sci, Islamabad, Pakistan

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期

关键词：

Non-Newtonian fluid; MHD aligned flow; Non-linear equation; Analytic solution; RAYLEIGH-STOKES PROBLEM; MOTION;

D O I：

10.1016/j.nonrwa.2008.03.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present here the exact solutions for the equations of magnetohydrodynamic (MHD) aligned flow of a second grade fluid. The exact solutions are constructed for steady and unsteady equations by employing inverse method. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2117 / 2126

页数：10

共 14 条

[1] MHD non-Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity
Asghar, S.
Hanif, K.
Hayat, T.
Khalique, C. M.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (04) : 465 - 485
[2] CERTAIN SOLUTIONS OF THE EQUATIONS OF THE PLANAR MOTION OF A 2ND-GRADE FLUID FOR STEADY AND UNSTEADY CASES
BENHARBIT, AM
SIDDIQUI, AM
[J]. ACTA MECHANICA, 1992, 94 (1-2) : 85 - 96
[3] CHANDNA OP, 1994, ACTA MECH, V107, P7
[4] On unsteady motions of a second-order fluid over a plane wall
Erdogan, ME
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (07) : 1045 - 1051
[5] Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder
Fetecau, C.
Fetecau, Corina
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (11-12) : 788 - 796
[6] On the MHD flow of a second grade fluid in a porous channel
Hayat, T.
Ahmed, Naveed
Sajid, M.
Asghar, S.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (03) : 407 - 414
[7] HAYAT T, PHYS LETT A IN PRESS
[8] Exact solutions of non-Newtonian fluid flows with prescribed vorticity
Labropulu, F
[J]. ACTA MECHANICA, 2000, 141 (1-2) : 11 - 20
[9] NEMENYI PF, 1951, ADV APPL MECH NEW YO, V2
[10] RAJAGOPAL KR, 1995, NAVIER-STOKES EQUATIONS AND RELATED NONLINEAR PROBLEMS, P273

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