Heat source/sink effects on non-Newtonian MHD fluid flow and heat transfer over a permeable stretching surface: Lie group analysis

被引:22
作者
Tufail, M. N. [1 ]
Butt, A. S. [1 ]
Ali, A. [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
关键词
Lie group analysis; Heat transfer; Magnetic field; Permeable stretching surface; Heat source/sink; BOUNDARY-LAYER EQUATIONS; MASS-TRANSFER; FREE-CONVECTION; POROUS PLATE; 2ND-GRADE; BEHAVIOR; ADJACENT; SHEET;
D O I
10.1007/s12648-013-0376-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An analysis is performed for flow and heat transfer of a non-Newtonian fluid known as Casson fluid over a permeable stretching surface through a porous medium. Lie Group analysis is used to reduce the governing partial differential equations to non-linear ordinary differential equations. These equations are then solved and solutions are obtained in terms of Kummer's function. A comprehensive study of the problem is made for various parameters.
引用
收藏
页码:75 / 82
页数:8
相关论文
共 37 条
[1]   Effectiveness of porosity on transient generalized Couette flow with Hall effect and variable properties under exponential decaying pressure gradient [J].
Abdeen, M. A. M. ;
Attia, H. A. ;
Abbas, W. ;
Abd El-Meged, W. .
INDIAN JOURNAL OF PHYSICS, 2013, 87 (08) :767-775
[2]  
Abramowitz M., 1965, HANDBOOK OF MATHEMAT
[4]   Homotopy analysis of unsteady boundary layer flow adjacent to permeable stretching surface in a porous medium [J].
Ali, Asif ;
Mehmood, Ahmer .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (02) :340-349
[5]  
[Anonymous], 2012, WORLD APPL SCI J
[6]   Lie group analysis for thermal-diffusion and diffusion-thermo effects on free convective flow over a porous stretching surface with variable stream conditions in the presence of thermophoresis particle deposition [J].
Arasu, P. Puvi ;
Loganathan, P. ;
Kandasamy, R. ;
Muhaimin, I. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (01) :20-31
[7]  
Asif Ali, 2005, Mathematical & Computational Applications, V10, P395
[8]   Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects [J].
Beg, O. Anwar ;
Bakier, A. Y. ;
Prasad, V. R. .
COMPUTATIONAL MATERIALS SCIENCE, 2009, 46 (01) :57-65
[9]  
Bhargava R., 2007, Nonlinear Analysis Modelling and Control, V12, P317
[10]  
Bluman G W, 1989, SYMMETRIES AND DIFFE