Z. Naturforsch. **68a,** 130 – 138
(2013)

doi:10.5560/ZNA.2012-0083

Radiative and Porous Effects on Free Convection Flow near a Vertical Plate that Applies Shear Stress to the Fluid

Corina
Fetecau^{1},
Mehwish
Rana^{2}, and
Constantin
Fetecau^{3,4}

^{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.