EFFECT OF COUPLE STRESSES ON THE STEADY FLOW OF A SECOND GRADE FLUID THROUGH THE POROUS MEDIUM

被引：1
作者：
Sajid, M. [1 ]
机构：
[1] PINSTECH, Theoret Plasma Phys Div, Islamabad 44000, Pakistan
来源：
JOURNAL OF POROUS MEDIA | 2011年 / 14卷 / 02期
关键词：
second grade fluid; couple stresses; porous plate; porous medium; suction flow; differential transform method; DIFFERENTIAL TRANSFORMATION METHOD; ANALYTIC SOLUTION; UNSTEADY-FLOW; MAXWELL FLUID; HEAT-TRANSFER; HALF-SPACE;
D O I：
10.1615/JPorMedia.v14.i2.60
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The purpose of the present paper is to investigate the effect of couple stresses on the flow of a second grade fluid past an infinite porous plate and through a porous medium. The governing equations are modeled using the modified Darcy's law for a second grade fluid. The equation governing the flow is solved by the differential transform method in combination with the method of superposition. The results are graphically displayed and the effect of couple stresses are discussed through the variations of the couple stress parameter. The influence of suction velocity, porosity parameter, and second grade parameter on the velocity is also analyzed.
引用
收藏
页码：179 / 186
页数：8
相关论文
共 29 条
[1]   Three-dimensional stagnation point flow of a second grade fluid towards a moving plate [J].
Baris, S ;
Dokuz, MS .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (1-2) :49-58
[2]   Flow of a binary mixture of incompressible Newtonian fluids in a rectangular channel [J].
Baris, S ;
Dokuz, MS .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (1-2) :171-188
[3]  
Eldabe NTM, 2003, Z NATURFORSCH A, V58, P204
[4]  
Fetecau C, 2005, Z ANGEW MATH PHYS, V56, P1098, DOI [10.1007/s00033-005-4034-2, 10.1007/S00033-005-4034-2]
[5]   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
[6]   Starting solutions for some unsteady unidirectional flows of a second grade fluid [J].
Fetecau, C ;
Fetecau, C .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (10) :781-789
[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]   The effect of the slip condition on flows of an Oldroyd 6-constant fluid [J].
Hayat, T. ;
Khan, Masood ;
Ayub, M. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) :402-413
[9]   Hall effects on peristaltic flow of a Maxwell fluid in a porous medium [J].
Hayat, T. ;
Ali, N. ;
Asghar, S. .
PHYSICS LETTERS A, 2007, 363 (5-6) :397-403
[10]   On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder [J].
Hayat, T. ;
Sajid, M. .
PHYSICS LETTERS A, 2007, 361 (4-5) :316-322
123