Scaling group transformation for MHD boundary layer flow over permeable stretching sheet in presence of slip flow with Newtonian heating effects

被引:15
|
作者
Afify, A. A. [1 ]
Uddin, M. J. [2 ]
Ferdows, M. [3 ]
机构
[1] Helwan Univ, Dept Math, Fac Sci, Cairo 11431, Egypt
[2] Amer Int Univ Bangladesh, Dhaka 1213, Bangladesh
[3] Univ Dhaka, Dept Math, Dhaka 1000, Bangladesh
关键词
magnetohydrodynamic (MHD); heat transfer; boundary layer; Lie group analysis; Newtonian heating; slip flow; STAGNATION-POINT FLOW; CONTINUOUS SOLID SURFACES; VISCOELASTIC FLUID-FLOW; VERTICAL SURFACE; FREE-CONVECTION; MASS-TRANSFER; POROUS-MEDIUM; MIXED CONVECTION; SIMILARITY SOLUTION; HORIZONTAL SURFACE;
D O I
10.1007/s10483-014-1873-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Taking into account the slip flow effects, Newtonian heating, and thermal radiation, two-dimensional magnetohydrodynamic (MHD) flows and heat transfer past a permeable stretching sheet are investigated numerically. We use one parameter group transformation to develop similarity transformation. By using the similarity transformation, we transform the governing boundary layer equations along with the boundary conditions into ordinary differential equations with relevant boundary conditions. The obtained ordinary differential equations are solved with the fourth-fifth order Runge-Kutta-Fehlberg method using MAPLE 13. The present paper is compared with a published one. Good agreement is obtained. Numerical results for dimensionless velocity, temperature distributions, skin friction factor, and heat transfer rates are discussed for various values of controlling parameters.
引用
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页码:1375 / 1386
页数:12
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