|
Z. Naturforsch. 67a, 517 – 524
(2012)
doi:10.5560/ZNA.2012-0054
Exact Solutions for the Magnetohydrodynamic Flow of a Jeffrey Fluid with Convective Boundary Conditions and Chemical Reaction
1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
2 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
3 Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
Received October 25, 2011 / revised May 31, 2012 / published online August 2, 2012
Reprint requests to: M. M.; Tel.: +92 51 90855733, E-mail:
meraj_mm@hotmail.com
The two-dimensional magnetohydrodynamic (MHD) flow of a Jeffrey fluid is investigated in this paper. The characteristics of heat and mass transfer with chemical reaction have also been analyzed. Convective boundary conditions have been invoked for the thermal boundary layer problem. Exact similarity solutions for flow, temperature, and concentration are derived. Interpretation to the embedded parameters is assigned through graphical results for dimensionless velocity, temperature, concentration, skin friction coefficient, and surface heat and mass transfer. The results indicate an increase in the velocity and the boundary layer thickness by increasing the rheological parameter of the Jeffrey fluid. An intensification in the chemical reaction leads to a thinner concentration boundary layer.
Key words: Exact Solutions; Heat Transfer; Mass Transfer; Jeffrey Fluid; Chemical Reaction; Convective Boundary Condition; Numerical Solution.