Magnetohydrodynamic transient flows of a non-Newtonian fluid

被引：21

作者：

Asghar, S ^{[1
]}

Khan, M

Hayat, T

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Abbottabad, NWFP, Pakistan

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

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 05期

关键词：

Oldroyd-B fluids; magnetohydrodynamic effect; unsteady flows; exact solutions; Laplace transform method;

D O I：

10.1016/j.ijnonlinmec.2004.07.011

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Some exact Solutions of the time-dependent partial differential equations are discussed for flows of an Oldroyd-B fluid. The fluid is electrically conducting and incompressible. The flows are generated by the impulsive motion of a boundary or by application of a constant pressure gradient. The method of Laplace transform is applied to obtain exact solutions. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. Several results of interest are obtained as special cases of the presented analysis. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：589 / 601

页数：13

共 18 条

[1] UNSTEADY UNIDIRECTIONAL FLOWS OF 2ND GRADE FLUIDS IN DOMAINS WITH HEATED BOUNDARIES [J].

BANDELLI, R .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1995, 30 (03) :263-269

[2]

BANDELLI R, 1996, ANN FERRARA, V39, P1

[3]

BANDELLI R, 1995, THESIS U PITTSURG

[4]

BANDELLI R, 1995, INT J NONLINEAR MECH, V30, P819

[5]

Bandelli R., 1995, ARCH MECH, V47, P661

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

DUNN, JE ;

RAJAGOPAL, KR .

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

[7] On the flows produced by sudden application of a constant pressure gradient or by impulsive motion of a boundary [J].

Erdogan, ME .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (05) :781-797

[8] The first problem of Stokes for an Oldroyd-B fluid [J].

Fetecau, C ;

Fetecau, C .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (10) :1539-1544

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

Hayat, T ;

Hutter, K ;

Asghar, S ;

Siddiqui, AM .

MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (9-10) :987-995

[10] 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

← 1 2 →