Z. Naturforsch. 68a, 130 – 138
Radiative and Porous Effects on Free Convection Flow near a Vertical Plate that Applies Shear Stress to the Fluid
1 Department of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, Romania
2 Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
3 Department of Mathematics, Technical University of Iasi, 700050 Iasi, Romania
4 Academy of Romanian Scientists, 050094 Bucuresti, Romania
Received August 27, 2012 / published online February 15, 2013
General solutions for the unsteady free convection flow of an incompressible viscous fluid due to an infinite vertical plate that applies a shear stress f(t) to the fluid are established when thermal radiation and porous effects are taken into consideration. They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different motions with technical relevance. The velocity is presented as a sum of thermal and mechanical components. Finally, some special cases are brought to light, and effects of pertinent parameters on the fluid motion are graphically underlined.
Key words: Porous Medium; Free Convection; Thermal Radiation; Shear Stress; General Solutions.