Exact Solutions for Unsteady Magnetohydrodynamic Oscillatory Flow of a Maxwell Fluid in a Porous Medium

被引：38

作者：

Khan, Ilyas ^{[1
]}

Ali, Farhad ^{[1
]}

Samiulhaq ^{[1
]}

Shafie, Sharidan ^{[1
]}

机构：

[1] Univ Technol Malaysia, Fac Sci, Dept Math Sci, Utm Skudai 81310, Malaysia

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2013年 / 68卷 / 10-11期

关键词：

Exact Solutions; MHD Flow; Maxwell Fluid; Porous Medium; STOKES 1ST PROBLEM; OLDROYD-B FLUID; 2ND-GRADE FLUID; 2ND PROBLEM; HALF-SPACE; MOTION;

D O I：

10.5560/ZNA.2013-0040

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, exact solutions of velocity and stresses are obtained for the magnetohydrodynamic (MHD) flow of a Maxwell fluid in a porous half space by the Laplace transform method. The flows are caused by the cosine and sine oscillations of a plate. The derived steady and transient solutions satisfy the involved differential equations and the given conditions. Graphs for steady-state and transient velocities are plotted and discussed. It is found that for a large value of the time t, the transient solutions disappear, and the motion is described by the corresponding steady-state solutions.

引用

页码：635 / 645

页数：11

共 23 条

[1] On some unsteady flows of a non-Newtonian fluid [J].

Erdogan, M. Emin ;

Imrak, C. Erdem .

APPLIED MATHEMATICAL MODELLING, 2007, 31 (02) :170-180

[2] On the comparison of the solutions obtained by using two different transform methods for the second problem of Stokes for Newtonian fluids [J].

Erdogan, M. Emin ;

Imrak, C. Erdem .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (01) :27-30

[3] On the first problem of Stokes for Burgers' fluids, I: Case γ < λ2/4 [J].

Fetecau, C. ;

Vieru, D. ;

Hayat, T. ;

Fetecau, Corina .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) :2183-2194

[4]

Fetecau C., 2004, P ROMANIAN ACAD A, V5, P13

[5] A note on the second problem of Stokes for Newtonian fluids [J].

Fetecau, Corina ;

Vieru, D. ;

Fetecau, Constantin .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (05) :451-457

[6] On the oscillating motion of an Oldroyd-B fluid between two infinite circular cylinders [J].

Fetecau, Corina ;

Akhtar, W. ;

Imran, M. A. ;

Vieru, D. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2836-2845

[7] A note on the second problem of Stokes for Maxwell fluids [J].

Fetecau, Corina ;

Jamil, M. ;

Fetecau, Constantin ;

Siddique, I. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (10) :1085-1090

[8] On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame [J].

Hayat, T. ;

Fetecau, C. ;

Sajid, M. .

PHYSICS LETTERS A, 2008, 372 (10) :1639-1644

[9] Some MHD flows of a second grade fluid through the porous medium [J].

Hayat, T. ;

Khan, I. ;

Ellahi, R. ;

Fetecau, C. .

JOURNAL OF POROUS MEDIA, 2008, 11 (04) :389-400

[10] Some simple flows of a Burgers' fluid [J].

Hayat, T. ;

Fetecau, C. ;

Asghar, S. .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (18-19) :1423-1431

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