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Numerical Solutions of Effects of Radiation and Chemical Reaction on Unsteady MHD Free Convection Flow Past an Impulsively Started Vertical Plate

1M. N. Raja Shekar and  2S. Karunakar Reddy

1JNTUH College of Engineering, Nachupally (Kondagattu), Kukatpally, Hyderabad 85. (A.P.) Email: mamidi71@yahoo.com

2Department of Mathematics, JNTUH College of Engineering, Karimnagar Dist.- 505 501. (A.P.)

  

ABSTRACT

This paper deals with the work studies the radiation effect on unsteady two-dimensional hydro-magnetic, laminar natural convection flow of a viscous, incompressible, radiating and chemically reacting fluid past an impulsively started vertical plate embedded in a porous medium. The governing equations along with the boundary conditions are first cast into a dimensionless form by a similarity transformation and the resulting coupled differential equations are then solved by the Crank-Nicolson method.  Numerical results have been performed for the effects of the controlling thermo fluid and hydrodynamic parameters on dimensionless velocity, temperature and concentration and also on the local and average skin friction, local and average Nusselt number and local Sherwood and average number. The numerical predications have been compared with the existing information in the literature and good agreement is obtained.

Key words: Free convection, MHD, Vertical plate, finite difference.

 

 

 

 

 

International eJournal of Mathematical Sciences, Technology and Humanities

Volume 3, Issue 2, Pages:  1001 - 1009