Effects of radiation and viscous dissipation on unsteady free convective flow past a moving vertical porous plate embedded in a porous medium

Sanatan Das ； Mrinal Jana ； Rabindra Nath Jana

《Communications in Applied Sciences》 1卷1期 (2013/06) Pp. 59-80

並列摘要

Effects of radiation on unsteady free convection flow of a viscous incompressible fluid past a moving vertical plate embedded in a porous medium on taking viscous dissipation into account have been studied. The governing partial differential equations have been solved numerically by applying a Crank - Nicolson’s type of implicit finite difference method with a tri-diagonal matrix manipulation and an iterative procedure. The variations of the fluid velocity and temperature are presented graphically. It is found that the radiation decelerates the fluid velocity. The fluid velocity increases with an increase in Darcy number. An increase in Eckert number leads to rise in fluid velocity and temperature. Further, it is found that the magnitude of the shear stress at the plate increases with an increase in either radiation parameter or Prandtl number. The rate of heat transfer at the plate increases with an increase in radiation parameter. This model finds applications in geophysics, astrophysics and also in the design of high temperature industrial processing systems.

並列關鍵字

Free convection ； radiation ； Prandtl number ； Grashof number ； Darcy number ； porous medium and viscous dissipation