Peristaltic Flow of a Phan-Thien-Tanner Nanofluid in a Diverging Tube

被引：64

作者：

Akbar, Noreen ^{[1
]}

Nadeem, S. ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

来源：

HEAT TRANSFER-ASIAN RESEARCH | 2012年 / 41卷 / 01期

关键词：

peristaltic flow; nanofluid; diverging tube; Phan-Thien-Tanner; HPM solutions;

D O I：

10.1002/htj.20386

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The present study examines the peristaltic flow of a PTT nanofluid in a diverging tube. This is the first article on the PTT peristaltic flow in nanofluid. The governing equations for PTT nanofluid are modelled in a cylindrical coordinates system. The flow is investigated in a wave frame of reference moving with velocity of the wave c(1). Temperature and nanoparticle equations are coupled so the homotopy perturbation method is used to calculate the solutions of temperature and nanoparticle equations, while exact solutions have been evaluated for the velocity profile and pressure gradient. The solutions analyze the Brownian motion number N-b, thermophoresis number N-t, local temperature Grashof number B-r, and local nanoparticle Grashof number G(r). The effects of various physical parameters of the model are investigated and discussed. It is observed that the pressure rise decreases with the increase in thermophoresis number N-t. Increases are noted in the Brownian motion parameter Nb and the thermophoresis parameter N-t as the temperature profile increases. Streamlines have been plotted at the end of the article. (C) 2011 Wiley Periodicals, Inc.

引用

页码：10 / 22

页数：13

共 21 条

[11] Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids [J].

Khanafer, K ;

Vafai, K ;

Lightstone, M .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2003, 46 (19) :3639-3653

[12] Measuring thermal conductivity of fluids containing oxide nanoparticles [J].

Lee, S ;

Choi, SUS ;

Li, S ;

Eastman, JA .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1999, 121 (02) :280-289

[13] Heat transfer enhancement by using nanofluids in forced convection flows [J].

Maïga, SE ;

Palm, SJ ;

Nguyen, CT ;

Roy, G ;

Galanis, N .

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2005, 26 (04) :530-546

[14] 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

[15] The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope [J].

Mekheimer, Kh. S. ;

Elmaboud, Y. Abd .

PHYSICS LETTERS A, 2008, 372 (10) :1657-1665

[16] Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube [J].

Nadeem, S. ;

Akbar, Noreen Sher .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (12) :4100-4113

[17] Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of Adomian decomposition method [J].

Nadeem, S. ;

Akbar, Noreen Sher .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (11) :3844-3855

[18] Series Solutions for the Peristaltic Flow of a Tangent Hyperbolic Fluid in a Uniform Inclined Tube [J].

Nadeem, Sohail ;

Akbar, Noreen Sher .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (11) :887-895

[19] Peristaltic transport in an asymmetric channel with heat transfer - A note [J].

Srinivas, S. ;

Kothandapani, M. .

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2008, 35 (04) :514-522

[20] The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls [J].

Srinivas, S. ;

Kothandapani, M. .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (01) :197-208

← 1 2 3 →