Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope

被引:205
作者
Mekheimer, Kh. S. [1 ]
Elmaboud, Y. Abd [1 ]
机构
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
关键词
peristaltic flow; endoscope; couple stress fluid; pressure rise;
D O I
10.1016/j.physa.2007.12.017
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
This paper discusses the influence of an endoscope on the peristaltic flow of a couple stress fluid in an annulus under a zero Reynolds number and long wavelength approximation. The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. Analytical expressions for the axial velocity, stream function and axial pressure gradient are established. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Numerical calculations are carried out for the pressure rise, frictional forces and trapping. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:2403 / 2415
页数:13
相关论文
共 37 条
[1]
ABDELNABY AH, 2002, APPL MATH COMPUT, V128, P19
[2]
Ali N, 2007, BIORHEOLOGY, V44, P125
[3]
Effects of an endoscope and fluid with variable viscosity on peristaltic motion [J].
El Hakeem, A ;
El Naby, A ;
El Misery, AEM ;
El Shamy, II .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (02) :497-511
[4]
Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel [J].
El Naby, Abd El Hakeem Abd ;
El Misery, A. E. M. ;
El Kareem, M. F. Abd .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 367 :79-92
[5]
Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube [J].
Eldabe, N. T. M. ;
Ei-Sayed, M. F. ;
Ghaly, A. Y. ;
Sayed, H. M. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 383 (02) :253-266
[6]
ELSHEHAWEY EF, 1994, J PHYS D APPL PHYS, V27, P1163, DOI 10.1088/0022-3727/27/6/014
[7]
Fetecau C, 2005, Z ANGEW MATH PHYS, V56, P1098, DOI [10.1007/s00033-005-4034-2, 10.1007/S00033-005-4034-2]
[8]
Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel [J].
Hayat, T. ;
Khan, Masood ;
Siddiqui, A. M. ;
Asghar, S. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (06) :910-919
[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]
Exact peristaltic flow in tubes with an endoscope [J].
Hayat, T. ;
Ali, N. ;
Asghar, S. ;
Siddiqui, A. M. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :359-368