Effects of slip and convective conditions on MHD flow of nanofluid over a porous nonlinear stretching/shrinking sheet

被引:86
作者
Daniel, Yahaya Shagaiya [1 ]
Aziz, Zainal Abdul [1 ]
Ismail, Zuhaila [1 ]
Salah, Faisal [2 ]
机构
[1] Univ Teknol Malaysia, UTM Ctr Ind & Appl Math, Inst Ibnu Sina Sci & Ind Res, Johor Baharu, Malaysia
[2] Univ Kordofan, Dept Math, Fac Sci, Elobid, Sudan
关键词
MHD nanofluid; convective boundary conditions; porosity; suction; non-linear stretching/shrinking sheet; dual solutions;
D O I
10.1080/14484846.2017.1358844
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The purpose of this paper is to theoretically investigate the steady two-dimensional electrical magnetohydrodynamic (MHD) nanofluid flow over a stretching/shrinking sheet. The effects of stretching and shrinking parameter, as well as electric and magnetic fields, thermal radiation, viscous and Joule heating in the presence of slip, heat and mass convection boundary conditions at the surface, are imposed and studied. The mathematical model governing the flow has been constructed which are partial differential equations and then rehabilitated for a system of ordinary differential equations involving the momentum, energy and concentration equations via suitable similarity transformations. Though various conjectures have been put forward to explain the concept of boundary layer flow, the current investigation employed implicit finite difference scheme indicates good agreement with those of the previously published investigation in the limiting sense. Numerical results of the dual solutions for the velocity, temperature, and concentration as well as heat transfer are elucidated through graphs and tables. The velocity, thermal and solutal boundary layer thickness in the first solutions is smaller than that of the second solutions, the first solution is more stable compared to the second solution. Temperature and nanoparticle concentration fields are augmented by the heat and mass convective boundary conditions.
引用
收藏
页码:213 / 229
页数:17
相关论文
共 71 条
[21]   Closed-form exact solutions of MHD viscous flow over a shrinking sheet [J].
Fang, Tiegang ;
Zhang, Ji .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) :2853-2857
[22]  
GORLA RSR, 1994, APPL SCI RES, V52, P247, DOI 10.1007/BF00853952
[23]   Effects of Cu and Ag nano-particles on flow and heat transfer from permeable surfaces [J].
Hajmohammadi, M. R. ;
Maleki, H. ;
Lorenzini, G. ;
Nourazar, S. S. .
ADVANCED POWDER TECHNOLOGY, 2015, 26 (01) :193-199
[24]   Magnetic field effect on second order slip flow of nanofluid over a stretching/shrinking sheet with thermal radiation effect [J].
Hakeem, A. K. Abdul ;
Ganesh, N. Vishnu ;
Ganga, B. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 381 :243-257
[25]   MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness [J].
Hayat, T. ;
Ullah, Ikram ;
Alsaedi, A. ;
Farooq, M. .
RESULTS IN PHYSICS, 2017, 7 :189-196
[26]   MHD 2D flow of Williamson nanofluid over a nonlinear variable thicked surface with melting heat transfer [J].
Hayat, T. ;
Bashir, Gulnaz ;
Waqas, M. ;
Alsaedi, A. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 223 :836-844
[27]   MHD flow and heat transfer over permeable stretching sheet with slip conditions [J].
Hayat, T. ;
Qasim, M. ;
Mesloub, S. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 66 (08) :963-975
[28]   Thermally stratified stretching flow with Cattaneo-Christov heat flux [J].
Hayat, Tasawar ;
Khan, Muhammad Ijaz ;
Farooq, Muhammad ;
Alsaedi, Ahmed ;
Khan, Muhammad Imran .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 106 :289-294
[29]   An analytical solution for magnetohydrodynamic Oldroyd-B nanofluid flow induced by a stretching sheet with heat generation/absorption [J].
Hayat, Tasawar ;
Muhammad, Taseer ;
Shehzad, Sabir Ali ;
Alsaedi, Ahmed .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2017, 111 :274-288
[30]   Homogeneous-heterogeneous reactions and melting heat transfer effects in the MHD flow by a stretching surface with variable thickness [J].
Hayat, Tasawar ;
Khan, Muhammad Ijaz ;
Alsaedi, Ahmad ;
Khan, Muhammad Imran .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 223 :960-968