Peristaltic flow of a micropolar fluid with nano particles in small intestine

被引:21
作者
Akbar, Noreen Sher [1 ]
Nadeem, S. [2 ]
机构
[1] Natl Univ Sci & Technol, CEME, DBS&H, Islamabad, Pakistan
[2] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
关键词
Peristaltic flow; Nano fluid; Uniform tube; Micropolar fluid; HPM solutions;
D O I
10.1007/s13204-012-0160-2
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The present article analyzed the peristaltic flow of a nanofluid in a uniform tube for micropolar fluid. The governing equations for proposed model are developed in cylindrical coordinates system. The flow is discussed in a wave frame of reference moving with velocity of the wave c. Under the assumptions of longwave length the reduced coupled nonlinear differential equations of momentum, energy, and concentrations are solved by Homotopy perturbation method is used to get the solutions for velocity, temperature, nano particle, microrotation component. The solutions consists Brownian motion number N-b, thermophoresis number N-t, local temperature Grashof number B-r and local nano particle Grashof number G(r). The effects of various parameters involved in the problem are investigated for pressure rise, pressure gradient, temperature and concentration profile. Five different waves are taken into account for analysis. Streamlines have been plotted at the end of the article.
引用
收藏
页码:461 / 468
页数:8
相关论文
共 18 条
[1]  
Akbar NS, 2011, COMMUN THEO IN PRESS
[2]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[3]  
Das S. K., 2008, Nanofluids: Science and Engineering, DOI [10.1002/9780470180693, DOI 10.1002/9780470180693]
[4]  
ERINGEN AC, 1966, J MATH MECH, V16, P1
[5]  
Grzegorz L, 1998, MICROPOLAR FLUID THE
[6]   Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68
[7]   Application of homotopy perturbation method to nonlinear wave equations [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700
[8]   Homotopy perturbation technique [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262
[9]   Review of convective heat transfer enhancement with nanofluids [J].
Kakac, Sadik ;
Pramuanjaroenkij, Anchasa .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (13-14) :3187-3196
[10]   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