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

doi:10.1007/s10483-014-1873-7

摘要/Abstract

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.

关键词: Newtonian heating, heat transfer, magnetohydrodynamic (MHD), boundary layer, slip flow, Lie group analysis

Abstract:

Key words: Newtonian heating, boundary layer, magnetohydrodynamic (MHD), Lie group analysis, heat transfer, slip flow

中图分类号:

O357.4

A. A. AFIFY;M. J. UDDIN;M.FERDOWS. Scaling group transformation for MHD boundary layer flow over permeable stretching sheet in presence of slip flow with Newtonian heating effects[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1375-1386.

A. A. AFIFY;M. J. UDDIN;M. FERDOWS. Scaling group transformation for MHD boundary layer flow over permeable stretching sheet in presence of slip flow with Newtonian heating effects[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1375-1386.

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