On chemical reaction and porous medium effect in the MHD flow due to a rotating disk with variable thickness

被引:5
作者
Hayat, Tasawar [1 ,2 ]
Nazar, Hira [1 ]
Imtiaz, Maria [3 ]
Alsaedi, Ahmed [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[3] Univ Wah, Dept Math, Wah Cantt 47040, Pakistan
关键词
HOMOGENEOUS-HETEROGENEOUS REACTIONS; BOUNDARY-LAYER-FLOW; STAGNATION POINT FLOW; MELTING HEAT-TRANSFER; MAGNETIC-FIELD; THERMAL-RADIATION; STRETCHING SHEET; MAGNETITE-FE3O4; NANOPARTICLES; CONVECTIVE FLOW; PRESSURE-DROP;
D O I
10.1140/epjp/i2017-11530-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The present analysis describes the magnetohydrodynamic (MHD) axisymmetric flow of a viscous fluid due to a rotating disk with variable thickness. An electrically conducting fluid fills the porous space. The first-order chemical reaction is considered. The equations of the present problem representing the flow of a fluid are reduced into nonlinear ordinary differential equations. Convergent series solutions are obtained. The impacts of the various involved dimensionless parameters on fluid flow, temperature, concentration, skin frction coefficient and Nusselt number are examined. The radial, tangential and axial components of velocity are affected in a similar manner on changing the thickness coefficient of the disk. Similar effects of the disk thickness coefficient are observed for both the temperature and concentration profile.
引用
收藏
页数:18
相关论文
共 40 条
[1]   Solution of the MHD Falkner-Skan flow by homotopy analysis method [J].
Abbasbandy, S. ;
Hayat, T. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) :3591-3598
[2]   One-dimensional analysis for magneto-thermo-mechanical response in a functionally graded annular variable-thickness rotating disk [J].
Bayat, M. ;
Rahimi, M. ;
Saleem, M. ;
Mohazzab, A. H. ;
Wudtke, I. ;
Talebi, H. .
APPLIED MATHEMATICAL MODELLING, 2014, 38 (19-20) :4625-4639
[3]   Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct [J].
Bhatti, M. M. ;
Zeeshan, A. ;
Ijaz, N. ;
Beg, O. Anwar ;
Kadir, A. .
ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH, 2017, 20 (03) :1129-1139
[4]   Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution [J].
Ellahi, R. ;
Afzal, S. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :2056-2072
[5]   Boundary layer flow over a stretching sheet with variable thickness [J].
Fang, Tiegang ;
Zhang, Ji ;
Zhong, Yongfang .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) :7241-7252
[6]   Melting heat transfer in the flow over a variable thicked Riga plate with homogeneous-heterogeneous reactions [J].
Farooq, M. ;
Anjum, Aisha ;
Hayat, T. ;
Alsaedi, A. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 224 :1341-1347
[7]   Application of the HAM-based Mathematica package SVPh 2.0 on MHD Falkner-Skan flow of nano-fluid [J].
Farooq, U. ;
Zhao, Y. L. ;
Hayat, T. ;
Alsaedi, A. ;
Liao, S. J. .
COMPUTERS & FLUIDS, 2015, 111 :69-75
[8]   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
[9]   Influence of variable viscosity and radial magnetic field on peristalsis of copper-water nanomaterial in a non-uniform porous medium [J].
Hayat, T. ;
Farooq, S. ;
Alsaedi, A. ;
Ahmad, B. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 103 :1133-1143
[10]   Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness [J].
Hayat, T. ;
Hussain, Zakir ;
Alsaedi, A. ;
Asghar, S. .
ADVANCED POWDER TECHNOLOGY, 2016, 27 (04) :1677-1688