Effects of rotation and initial stress on peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field

被引:45
作者
Abd-Alla, A. M. [1 ,2 ]
Abo-Dahab, S. M. [1 ,3 ]
El-Shahrany, H. D. [1 ]
机构
[1] Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia
[2] Fac Sci, Dept Math, Sohag, Egypt
[3] SVU, Fac Sci, Dept Math, Qena 83523, Egypt
关键词
Peristaltic; Fourth grade; Rotation; Initial stress; Heat transfer; Magnetic field; JEFFREY FLUID; MASS-TRANSFER; FLOW; MOTION; CHANNEL;
D O I
10.1016/j.jmmm.2013.08.009
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates the effect of rotation and initial stress on the peristaltic flow of an incompressible fourth grade fluid in asymmetric channel with magnetic field and heat transfer. Constitutive equations obeying the fourth grade fluid model are employed. Assumptions of long wavelength and low Reynolds number are used in deriving solution for the flow. Closed form expressions for the stream function, pressure gradient, temperature, magnetic force function, induced magnetic field and current density are developed. Pressure rise per wavelength and frictional forces on the channel walls have been computed numerically. Effects of rotation, initial stress and inclination of magnetic field on the axial velocity and pressure gradient are discussed in detail and shown graphically. Several limiting results can be obtained as the special cases of the problem under consideration. Numerical illustrations that show the physical effects and the pertinent features are investigated at the end of the paper. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:268 / 280
页数:13
相关论文
共 29 条
[1]   Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid [J].
Abd-Alla, A. M. ;
Yahya, G. A. ;
Mahmoud, S. R. ;
Alosaimi, H. S. .
MECCANICA, 2012, 47 (06) :1455-1465
[2]   Wave propagation modeling in cylindrical human long wet bones with cavity [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Mahmoud, S. R. .
MECCANICA, 2011, 46 (06) :1413-1428
[3]   Peristaltic flow of a Williamson fluid in an inclined asymmetric channel with partial slip and heat transfer [J].
Akbar, Noreen Sher ;
Hayat, T. ;
Nadeem, S. ;
Obaidat, S. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (7-8) :1855-1862
[4]   Non-Newtonian fluid flow induced by peristaltic waves in a curved channel [J].
Ali, N. ;
Sajid, M. ;
Abbas, Z. ;
Javed, T. .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2010, 29 (05) :387-394
[5]   Heat transfer analysis of peristaltic flow in a curved channel [J].
Ali, N. ;
Sajid, M. ;
Javed, T. ;
Abbas, Z. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2010, 53 (15-16) :3319-3325
[6]   Peristaltic flow of a micropolar fluid in an asymmetric channel [J].
Ali, Nasir ;
Hayat, Tasawar .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (04) :589-608
[7]   Peristaltic flow of a Maxwell fluid in a channel with compliant walls [J].
Ali, Nasir ;
Hayat, Tasawar ;
Asghar, Saleem .
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) :407-416
[8]  
Chaube M.K., 2010, MATH COMPUT MODEL, V52, P387
[9]   A novel thermo-pneumatic peristaltic micropump with low temperature elevation on working fluid [J].
Chia, Bonnie Tingting ;
Liao, Hsin-Hung ;
Yang, Yao-Joe .
SENSORS AND ACTUATORS A-PHYSICAL, 2011, 165 (01) :86-93
[10]   Analysis of intra-uterine fluid motion induced by uterine contractions [J].
Eytan, O ;
Elad, D .
BULLETIN OF MATHEMATICAL BIOLOGY, 1999, 61 (02) :221-238