On magnetohydrodynamic flow of second grade nanofluid over a nonlinear stretching sheet

被引:93
作者
Hayat, Tasawar [1 ,2 ]
Aziz, Arsalan [1 ]
Muhammad, Taseer [1 ]
Ahmad, Bashir [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
关键词
Two-dimensional flow; Second grade fluid; MHD; Nanoparticles; Nonlinear stretching sheet; BOUNDARY-LAYER-FLOW; HOMOTOPY ANALYSIS METHOD; STAGNATION-POINT FLOW; HEAT-TRANSFER; MAGNETIC-FIELD; 3-DIMENSIONAL FLOW; THERMAL-RADIATION; MAXWELL NANOFLUID; CONVECTION FLOW; FLUID-FLOW;
D O I
10.1016/j.jmmm.2016.02.017
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This research article addresses the magnetohydrodynamic (MHD) flow of second grade nanofluid over a nonlinear stretching sheet. Heat and mass transfer aspects are investigated through the thermophoresis and Brownian motion effects. Second grade fluid is assumed electrically conducting through a nonuniform applied magnetic field. Mathematical formulation is developed subject to small magnetic Reynolds number and boundary layer assumptions. Newly constructed condition having zero mass flux of nanoparticles at the boundary is incorporated. Transformations have been invoked for the reduction of partial differential systems into the set of nonlinear ordinary differential systems. The governing nonlinear systems have been solved for local behavior. Graphical results of different influential parameters are studied and discussed in detail. Computations for skin friction coefficient and local Nusselt number have been carried out. It is observed that the effects of thermophoresis parameter on the temperature and nanoparticles concentration distributions are qualitatively similar. The temperature and nano particles concentration distributions are enhanced for the larger magnetic parameter. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:99 / 106
页数:8
相关论文
共 45 条
[1]   Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid [J].
Abbasbandy, S. ;
Hayat, T. ;
Alsaedi, A. ;
Rashidi, M. M. .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (02) :390-401
[2]   Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption [J].
Abbasi, F. M. ;
Shehzad, S. A. ;
Hayat, T. ;
Ahmad, B. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2016, 404 :159-165
[3]  
[Anonymous], ENHANCING THERMAL CO
[4]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[5]   Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet [J].
Cortell, Rafael .
PHYSICS LETTERS A, 2008, 372 (05) :631-636
[6]   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
[7]   Shape effects of nanosize particles in Cu-H2O nanofluid on entropy generation [J].
Ellahi, R. ;
Hassan, M. ;
Zeeshan, A. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 81 :449-456
[8]   Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder [J].
Fetecau, C. ;
Fetecau, Corina .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (11-12) :788-796
[9]   Effect of Suspended Nanoparticles on Three-Dimensional MHD Flow, Heat and Mass Transfer of Radiating Eyring-Powell Fluid Over a Stretching Sheet [J].
Gireesha, B. J. ;
Gorla, Rama Subba Reddy ;
Mahanthesh, B. .
JOURNAL OF NANOFLUIDS, 2015, 4 (04) :474-484
[10]   On squeezing flow of nanofluid in the presence of magnetic field effects [J].
Hayat, T. ;
Muhammad, Taseer ;
Qayyum, A. ;
Alsaedi, A. ;
Mustafa, M. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 213 :179-185