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Scaling Group Transformation for MHD Double-Diffusive Flow Past a Stretching Sheet with Variable Transport Properties Taking into Account Velocity Slip and Thermal Slip Boundary Conditions

Uddin, M. J., Khan, W. A. and Ismail, A. I. M.

Pertanika Journal of Science & Technology, Volume 24, Issue 1, January 2016

Keywords: Variable transport properties, double-diffusion, Lie group, velocity and thermal slip, MHD

Published on: 28 Dec 2015

The steady two-dimensional laminar mixed convective boundary layer flow of a viscous incompressible electrically conducting Newtonian fluid along a moving stretching sheet embedded in a porous medium was studied numerically. We used temperature dependent viscosity and thermal conductivity and concentration dependent mass diffusvity. Further, the velocity and thermal slip boundary conditions were applied at the surface of the sheet. The governing transport equations were reduced to similarity equations using scaling group of transformation, before being sloved numerically by using the fourthfifth order Runge-Kutta-Fehlberg method from Maple 13. Our analysis revealed that the mass diffusivity parameter causes both temperature and concentration to increase whilst thermal conductivity parameter increases the temperature. It was also revealed that the rate of heat and mass transfer increased with the increasing of velocity slip, viscosity and power law parameters. Comparisons with previous published works are reported and good agreements were found.

ISSN 0128-7680

e-ISSN 2231-8526

Article ID

JST-0474-2013

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