The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions

被引：626
作者：
Ellahi, R. [1 ,2 ]
机构：
[1] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
[2] IIUI, FBAS, Dept Math & Stat, Islamabad 44000, Pakistan
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 03期
关键词：
Non-Newtonian nanofluid; Variable viscosities; MHD; Heat transfer analysis; Analytical solutions; HOMOTOPY ANALYSIS METHOD; 3RD GRADE FLUID; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.apm.2012.04.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This article examines the magnetohydrodynamic (MHD) flow of non-Newtonian nanofluid in a pipe. The temperature of the pipe is assumed to be higher than the temperature of the fluid. In particular two temperature dependent viscosity models, have been considered. The nonlinear partial differential equations along with the boundary conditions are first cast into a dimensionless form and then the equations are solved by homotopy analysis method (HAM). Explicit analytical expressions for the velocity field, the temperature distribution and nano concentration have been derived analytically. The effects of various physical parameters on velocity, temperature and nano concentration are discussed by using graphical approach. (C) 2012 Elsevier Inc. All rights reserved.
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收藏
页码：1451 / 1467
页数：17
相关论文
共 25 条
[1]  
Choi S. U. S., 1995, P 1995 ASME INT MECH, V66, P99
[2]   Nanofluids: From Vision to Reality Through Research [J].
Choi, Stephen U. S. .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2009, 131 (03) :1-9
[3]  
Davidson J.H., 1987, HDB SINGLE PHASE CON, P91
[4]   Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses [J].
Dehghan, Mehdi ;
Heris, Jalil Manafian ;
Saadatmandi, Abbas .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (11) :1384-1398
[5]   Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method [J].
Dehghan, Mehdi ;
Manafian, Jalil ;
Saadatmandi, Abbas .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :448-479
[6]   Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes [J].
Dehghan, Mehdi ;
Mirzaei, Davoud .
COMPUTER PHYSICS COMMUNICATIONS, 2009, 180 (09) :1458-1466
[7]   The Numerical Solution of the Second Painleve Equation [J].
Dehghan, Mehdi ;
Shakeri, Fatemeh .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (05) :1238-1259
[8]   Meshless Local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity [J].
Dehghan, Mehdi ;
Mirzaei, Davoud .
APPLIED NUMERICAL MATHEMATICS, 2009, 59 (05) :1043-1058
[9]  
Fetecau C, 2005, Z ANGEW MATH PHYS, V56, P1098, DOI [10.1007/s00033-005-4034-2, 10.1007/S00033-005-4034-2]
[10]   THERMODYNAMICS AND STABILITY OF FLUIDS OF 3RD GRADE [J].
FOSDICK, RL ;
RAJAGOPAL, KR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1980, 369 (1738) :351-377
123