TITLE:
Unsteady Couette Flow through a Porous Medium in a Rotating System
AUTHORS:
Maitree Jana, Sanatan Das, Rabindra Nath Jana
KEYWORDS:
Couette Flow; Rotation Parameter; Reynolds Number; Porous Medium; Rotating System and Boundary Layer
JOURNAL NAME:
Open Journal of Fluid Dynamics,
Vol.2 No.4,
December
26,
2012
ABSTRACT: An investigation has been made on an unsteady Couette flow of a viscous incompressible fluid through a porous me- dium in a rotating system. The solution of the governing equations has been obtained by the use of Laplace transform technique. It is found that the primary velocity decreases and the magnitude of the secondary velocity increases with an increase in rotation parameter. The fluid velocity components are decelerated by an increase of Reynolds number. An increase in porosity parameter leads to increase the primary velocity and the magnitude of the secondary velocity. It is also found that the solution for small time converges more rapidly than the general solution. The asymptotic behavior of the solution is analyzed for small as well as large values of rotation parameter and Reynolds number. It is observed that a thin boundary layer is formed near the moving plate of the channel and the thicknesses of the boundary layer increases with an increase in porosity parameter.