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

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  • 1. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11431, Egypt;
    2. American International University-Bangladesh, Dhaka 1213, Bangladesh;
    3. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Received date: 2014-01-02

  Revised date: 2014-05-12

  Online published: 2014-11-01

Abstract

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.

Cite this article

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, 2014 , 35(11) : 1375 -1386 . DOI: 10.1007/s10483-014-1873-7

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