MHD transient flows in a channel of rectangular cross-section with porous medium

被引：40

作者：

Khan, M. ^{[1
]}

Fetecau, C. ^{[1
]}

Hayat, T. ^{[1
]}

机构：

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

来源：

PHYSICS LETTERS A | 2007年 / 369卷 / 1-2期

关键词：

magnetohydrodynamic (MHD) flow; porous medium; modified Darcy's law; analytic solutions;

D O I：

10.1016/j.physleta.2007.04.076

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This Letter analyzes the influence of Hartman number on the flows of an Oldroyd-B fluid in a porous medium. The flow modelling is based on the modified Darcy's law. Exact analytic solutions are obtained for the velocity, volume flux and tangential stresses. The obtained solutions satisfy all the conditions and governing equations. These solutions are found to be significantly affected by the applied magnetic field, material parameters of fluid, porosity and permeability of the medium. Comparison of the present solutions is also made with the existing results. Finally, the graphs are plotted for the variations of emerging parameters and discussed. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：44 / 54

页数：11

共 16 条

[1] A brief note from the editor on the ''second-order fluid" [J].

Aksel, N .

ACTA MECHANICA, 2002, 157 (1-4) :235-236

[2] Magnetohydrodynamic transient flows of a non-Newtonian fluid [J].

Asghar, S ;

Khan, M ;

Hayat, T .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2005, 40 (05) :589-601

[3] 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

[4] FLUIDS OF DIFFERENTIAL TYPE - CRITICAL-REVIEW AND THERMODYNAMIC ANALYSIS [J].

DUNN, JE ;

RAJAGOPAL, KR .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (05) :689-729

[5] A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid [J].

Fetecau, C. ;

Prasad, Sharat C. ;

Rajagopal, K. R. .

APPLIED MATHEMATICAL MODELLING, 2007, 31 (04) :647-654

[6] Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section [J].

Fetecau, C ;

Fetecau, C .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2005, 40 (09) :1214-1219

[7] Decay of a potential vortex in an Oldroyd-B fluid [J].

Fetecau, C ;

Fetecau, C .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (3-4) :340-351

[8]

FETECAU C, 1989, REV ROUM MATH PURE A, V37, P533

[9] Some simple flows of an Oldroyd-B fluid [J].

Hayat, T ;

Siddiqui, AM ;

Asghar, S .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2001, 39 (02) :135-147

[10] ON THE FORMULATION OF RHEOLOGICAL EQUATIONS OF STATE [J].

OLDROYD, JG .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 200 (1063) :523-541

← 1 2 →