Second Grade Fluid for Rotating MHD of an Unsteady Free Convection Flow in a Porous Medium

Author:

Ismail Z.1,Khan I.2,Mohamad A.Q.1,Shafie S.1

Affiliation:

1. Universiti Teknologi Malaysia

2. College of Engineering Majmaah University

Abstract

Rotating effects and magnetohydrodynamic (MHD) free convection flow of second grade fluids in a porous medium is considered in this paper. It is assumed that the bounding infinite inclined plate has ramped wall temperature with the presence of heat and mass diffusion. Based on Boussinesq approximation, the analytical expressions for dimensionless velocity, temperature and concentration are obtained by using the Laplace transform method. All the derived solutions satisfying the involved differential equations with imposed boundary and initial conditions. The influence of various parameters on the velocity has been analyzed in graphs and discussed.

Publisher

Trans Tech Publications, Ltd.

Subject

Condensed Matter Physics,General Materials Science,Radiation

Reference13 articles.

1. U. S. Rajput and S. Kumar, Int. J. Math. Anal. Vol. 5(24) (2011) p.1155.

2. G. S. Seth, R. Nandkeolyar and M. S. Ansari, Int. J. Appl. Math. Mech. Vol. 7(21) (2011) p.52.

3. Z. Ismail, I. Khan and S. Shafie, Rotation and Heat Absorption Effects on Unsteady MHD Free Convection Flow in a Porous Medium past an Infinite Inclined Plate with Ramped Wall Temperature (WSEAS Press, Greece 2013).

4. S. Sivasankaran, M. Bhuvaneswari, P. Kandaswamy and E. K. Ramasami, Commun. Nonlinear Sci. Numer. Simul. Vol. 13 (2008) p.269.

5. C. J. Toki, Differ. Equ. Control Processes, Vol. 3 (2009) p.35.

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