Scrutiny of underdeveloped nanofluid MHD flow and heat conduction in a channel with porous walls

被引:39
作者
Fakour, M. [1 ]
Ganji, D. D. [2 ]
Abbasi, M. [1 ]
机构
[1] Islamic Azad Univ, Sari Branch, Dept Mech Engn, Sari, Iran
[2] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran
关键词
Least square method (LSM); Laminar viscous flow; Heat transfer; Uniform magnetic field; Channel with porous walls;
D O I
10.1016/j.csite.2014.10.003
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, laminar fluid flow and heat transfer in channel with permeable walls in the presence of a transverse magnetic field is investigated. Least square method (LSM) for computing approximate solutions of nonlinear differential equations governing the problem. We have tried to show reliability and performance of the present method compared with the numerical method (RungeKutta fourth-rate) to solve this problem. The influence of the four dimensionless numbers: the Hartmann number, Reynolds number, Prandtl number and Eckert number on non-dimensional velocity and temperature profiles are considered. The results show analytical present method is very close to numerically method. In general, increasing the Reynolds and Hartman number is reduces the nanofluid flow velocity in the channel and the maximum amount of temperature increase and increasing the Prandtl and Eckert number will increase the maximum amount of theta. (C) 2014 The Authors. Published by Elsevier Ltd.
引用
收藏
页码:202 / 214
页数:13
相关论文
共 20 条
[1]   Prediction of porous walls thermal protection by effusion or transpiration cooling. An analytical approach [J].
Andoh, YH ;
Lips, B .
APPLIED THERMAL ENGINEERING, 2003, 23 (15) :1947-1958
[2]   LAMINAR FLOW IN CHANNELS WITH POROUS WALLS [J].
BERMAN, AS .
JOURNAL OF APPLIED PHYSICS, 1953, 24 (09) :1232-1235
[3]  
David W.H., 2012, HEAT CONDUCTION
[4]   Natural convection flow of a non-Newtonian nanofluid between two vertical flat plates [J].
Domairry, Davood ;
Sheikholeslami, Mohsen ;
Ashorynejad, Hamid Reza ;
Gorla, Rama Subba Reddy ;
Khani, Mostafa .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART N-JOURNAL OF NANOMATERIALS NANOENGINEERING AND NANOSYSTEMS, 2011, 225 (03) :115-122
[5]  
Goerke AR, 2002, CHEM ENG SCI, V57, P2035
[6]   Numerical investigation of blood flow. Part II: In capillaries [J].
Jafari, A. ;
Zamankhan, P. ;
Mousavi, S. M. ;
Kolari, P. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1396-1402
[7]  
Maxwell JC., TREATISE ELECT MAGNE, P435
[8]   Linear phase matched filter design with causal real symmetric impulse response [J].
Mrteina, Saleh Sanussi ;
Martens, Gert O. .
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2009, 63 (02) :83-91
[9]   Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration [J].
Rashidi, M. M. ;
Freidoonimehr, N. ;
Hosseini, A. ;
Beg, O. Anwar ;
Hung, T. -K. .
MECCANICA, 2014, 49 (02) :469-482
[10]   Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk [J].
Rashidi, M. M. ;
Hayat, T. ;
Erfani, E. ;
Pour, S. A. Mohimanian ;
Hendi, Awatif A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (11) :4303-4317