Z. Naturforsch. 68a, 659 – 667
General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate
1 Department of Mathematics, Technical University of Iasi, Iasi 700050, Romania
2 Member of Academy of Romanian Scientists, Bucuresti 050094, Romania
3 Department of Theoretical Mechanics, Technical University of Iasi, Iasi 700050, Romania
4 Abdus Salam School of Mathematical Sciences, GC University, Lahore 54600, Pakistan
Received June 3, 2013 / published online July 17, 2013
General solutions for the magnetohydrodynamic (MHD) natural convection flow of an incompressible viscous fluid over a moving plate are established when thermal radiation, porous effects, and slip condition are taken into consideration. These solutions, obtained in closed-form by Laplace transform technique, depend on the slip coefficient and the three essential parameters Gr, Preff, and Keff. They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. For illustration, two special cases are considered and some interesting results from the literature are recovered as limiting cases. The influence of pertinent parameters on the fluid motion is graphically underlined.
Key words: Natural Convection Flow; Radiative Heat Transfer; Slip Condition; General Solutions.