Magnetohydrodynamic slip flow and diffusion of a reactive solute past a permeable flat plate with suction/injection

Abstract

The magnetohydrodynamic (MHD) boundary layer slip flow and solute transfer over a porous plate in the presence of a chemical reaction are investigated. The governing equations were transformed into self-similar ordinary differential equations by adopting the similarity transformation technique. Then the numerical solutions are obtained by a shooting technique using the fourth order Runge-Kutta method. The study reveals that due to the increase in the boundary slip, the concentration decreases and the velocity increases. On the other hand, with an increase in the magnetic field and mass suction, both boundary layer thicknesses decreased. As the Schmidt number and the reaction rate parameter increases, the concentration decreases and the mass transfer increases.

Keywords

slip flow / MHD boundary layer / reactive solute diffusion / flat plate / suction/injection

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Acknowledgments

The Authors are thankful to the reviewers for their valuable comments and suggestions. One of the authors (K. Bhattacharyya) gratefully acknowledges the financial support from the National Board for Higher Mathematics (NBHM), DAE, Mumbai, India to pursue this work.

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg