Heat Transfer Analysis on the Magnetohydrodynamic Flow of a Non-Newtonian Fluid in the Presence of Thermal Radiation: An Analytic Solution

被引:25
作者
Khan, Yasir [1 ]
Wu, Qingbiao [1 ]
Faraz, Naeem [2 ]
Yildirim, Ahmet [3 ]
Mohyud-Din, Syed Tauseef [4 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Donghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China
[3] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey
[4] HITEC Univ, Taxila Cantt, Pakistan
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2012年 / 67卷 / 3-4期
关键词
Thermal Radiation; Magnetohydrodynamic (MHD) Flow; Homotopy Perturbation Method (HPM); HOMOTOPY PERTURBATION METHOD; APPROXIMATE ANALYTICAL SOLUTIONS; LAPLACE DECOMPOSITION METHOD; CONVECTION; EQUATION;
D O I
10.5560/ZNA.2012-0001
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this paper, a two-dimensional, steady magnetohydrodynamic flow and heat transfer analysis of a non-Newtonian fluid in a channel with a constant wall temperature are considered in the presence of thermal radiation. The steady Navier-Stokes equations are reduced to nonlinear ordinary differential equations by using similarity variables. The homotopy perturbation method is used to solve the nonlinear ordinary differential equations. The effects of the pertinent parameters on the velocity and temperature field are discussed.
引用
收藏
页码:147 / 152
页数:6
相关论文
共 40 条
[1]   Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM) [J].
Ajadi, S. O. ;
Zuilino, M. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (10) :1634-1639
[2]  
Ariel P. D., 2010, NONLINEAR SCI LETT A, V1, P43
[3]  
Damseh R. A., 2006, Turkish Journal of Engineering and Environmental Sciences, V30, P83
[4]   Analytical Approximate Solution of Space-Time Fractional Diffusion Equation with a Moving Boundary Condition [J].
Das, Subir ;
Kumar, Rajnesh ;
Gupta, Praveen Kumar .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (05) :281-288
[5]   Viscous and Joule heating effects on forced convection flow from radiate isothermal porous surfaces [J].
Duwairi, HM .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2005, 15 (5-6) :429-440
[6]  
Duwairi HM, 2004, CAN J CHEM ENG, V82, P613
[7]   Magnetohydrodynamic natural convection heat transfer from radiate vertical porous surfaces [J].
Duwairi, HM ;
Damseh, RA .
HEAT AND MASS TRANSFER, 2004, 40 (10) :787-792
[8]   THERMAL RADIATION EFFECTS ON LAMINAR FREE CONVECTION BOUNDARY LAYER OF AN ABSORBING GAS [J].
ENGLAND, WG ;
EMERY, AF .
JOURNAL OF HEAT TRANSFER, 1969, 91 (01) :37-&
[9]   An Alternative Approach to Differential-Difference Equations Using the Variational Iteration Method [J].
Faraz, Naeem ;
Khan, Yasir ;
Austin, Francis .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12) :1055-1059
[10]  
Gupta P. K., 2010, J THERM BIOL, V35, P295