Influence of an Induced Magnetic Field on Peristaltic Transport in an Asymmetric Channel

被引：9
作者：
Hayat, T. [1 ,2 ]
Noreen, S. [1 ]
Asghar, S. [3 ]
Hendi, Awatifa [2 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] King Saud Univ, Dept Phys, Fac Sci, Riyadh, Saudi Arabia
[3] CIIT Ctr Hlth Res, Dept Math Sci, Islamabad, Pakistan
来源：
CHEMICAL ENGINEERING COMMUNICATIONS | 2011年 / 198卷 / 05期
关键词：
Asymmetric channel; Induced magnetic field; PTT fluid; COUPLE STRESS FLUID; HEAT-TRANSFER; 3RD-ORDER FLUID; PLANAR CHANNEL; POROUS-MEDIUM; FLOW; ENDOSCOPE; ANNULUS; MOTION; SLIP;
D O I：
10.1080/00986445.2011.532696
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
In this study, we investigate the effects of an induced magnetic field on the peristaltic transport of a Phan-Thien-Tanner (PTT) fluid in an asymmetric channel. Asymmetry in the flow is induced because of wave trains with different amplitudes and phases. Development of mathematical analysis is made under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density are derived. Computation of pressure rise is based upon numerical integration. The obtained expressions are carefully analyzed through physical interpretation.
引用
收藏
页码：609 / 628
页数：20
相关论文
共 20 条
[1]   Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel [J].
Ali, N. ;
Wang, Y. ;
Hayat, T. ;
Oberlack, M. .
BIORHEOLOGY, 2008, 45 (05) :611-628
[2]   Creeping Flow of Phan-Thien-Tanner Fluids in a Peristaltic Tube With an Infinite Long Wavelength [J].
El Naby, Abd El Hakeem Abd .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2009, 76 (06) :1-6
[3]   Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel [J].
Haroun, Mohamed H. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (08) :1464-1480
[4]   Effects of an endoscope on peristaltic flow of a micropolar fluid [J].
Hayat, T. ;
Ali, N. .
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (5-6) :721-733
[5]   The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel [J].
Hayat, T. ;
Qureshi, M. Umar ;
Ali, N. .
PHYSICS LETTERS A, 2008, 372 (15) :2653-2664
[6]   Effects of an Induced Magnetic Field on the Peristaltic Flow of a Third-Order Fluid [J].
Hayat, T. ;
Khan, Yasir ;
Mekheimer, Kh. S. ;
Ali, Nasir .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :345-366
[7]   Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium [J].
Kothandapani, A. ;
Srinivas, S. .
PHYSICS LETTERS A, 2008, 372 (08) :1265-1276
[8]   On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium [J].
Kothandapani, M. ;
Srinivas, S. .
PHYSICS LETTERS A, 2008, 372 (25) :4586-4591
[9]  
Latham TW, 1966, FLUID MOTION PERISTA
[10]   Effect of the induced magnetic field on peristaltic flow of a couple stress fluid [J].
Mekheimer, Kh. S. .
PHYSICS LETTERS A, 2008, 372 (23) :4271-4278
12