Impact of magnetic field in three-dimensional flow of an Oldroyd-B nanofluid

被引:47
作者
Hayat, T. [1 ,2 ]
Muhammad, Taseer [1 ]
Shehzad, S. A. [3 ]
Alhuthali, M. S. [2 ]
Lu, Jinhu [2 ,4 ]
机构
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[3] Comsats Inst Informat Technol, Dept Math, Sahiwal 57000, Pakistan
[4] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China
关键词
Three-dimensional flow; Magnetic field; Nanoparticles; Oldroyd-B fluid; STAGNATION-POINT FLOW; RADIATION HEAT-TRANSFER; BOUNDARY-LAYER-FLOW; CONVECTION FLOW; PERISTALTIC TRANSPORT; STRETCHING SURFACE; MICROPOLAR FLUID; MASS-TRANSFER; FLAT-PLATE; MHD FLOW;
D O I
10.1016/j.molliq.2015.09.023
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
This study explores the three-dimensional boundary layer flow of an Oldroyd-B nanofluid. Flow is induced by a bidirectional stretching surface. Brownian motion and thermophoresis effects are considered. Fluid is electrically conducted in the presence of an applied magnetic field. Newly proposed boundary condition requiring zero nanopartide mass flux at the boundary is employed. The governing nonlinear boundary layer equations through appropriate transformations are reduced into the nonlinear ordinary differential systems. The resulting nonlinear system has been solved for the velocities, temperature and nanoparticle concentration expressions. The contributions of various interesting parameters are studied graphically. The local Nusselt number is tabulated and discussed. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:272 / 282
页数:11
相关论文
共 40 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]   ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD AND ITS APPLICATION TO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS [J].
Abbasbandy, S. ;
Hashemi, M. S. ;
Hashim, I. .
QUAESTIONES MATHEMATICAE, 2013, 36 (01) :93-105
[3]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[4]  
Choi S. U. S., 1995, Trans. ASME, V66, P99
[5]   On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress [J].
Fetecau, C. ;
Zierep, J. ;
Bohning, R. ;
Fetecau, Corina .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (01) :74-82
[6]   Interaction of magnetic field in flow of Maxwell nanofluid with convective effect [J].
Hayat, T. ;
Muhammad, Taseer ;
Shehzad, S. A. ;
Chen, G. Q. ;
Abbas, Ibrahim A. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 389 :48-55
[7]   Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation [J].
Hayat, T. ;
Muhammad, Taseer ;
Alsaedi, A. ;
Alhuthali, M. S. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 385 :222-229
[8]   Similarity solution to three dimensional boundary layer flow of second grade nanofluid past a stretching surface with thermal radiation and heat source/sink [J].
Hayat, T. ;
Muhammad, Taseer ;
Shehzad, S. A. ;
Alsaedi, A. .
AIP ADVANCES, 2015, 5 (01)
[9]   Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects [J].
Hayat, T. ;
Abbasi, F. M. ;
Al-Yarni, Maryem ;
Monaquel, Shatha .
JOURNAL OF MOLECULAR LIQUIDS, 2014, 194 :93-99
[10]   MHD Flow of an Oldroyd-B Fluid Through a Porous Channel [J].
Hayat, Tasawar ;
Shehzad, Sabir Ali ;
Mustafa, Meraj ;
Hendi, Awatif .
INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING, 2012, 10