Publication de 12 numéros par an
ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
Indexed in
STEADY AND TRANSIENT INVESTIGATION OF GENERALIZED COUETTE FLOW IN A COMPOSITE CHANNEL WITH SUCTION AND INJECTION
RÉSUMÉ
In this paper, numerical and analytical solutions for the Couette steady and unsteady fully developed laminar fluid flow in the parallel plate partially filled with a uniform porous medium and partially with a clear fluid are presented in the presence of suction/injection. The Brinkman-extended Darcy equation is utilized to model the flow in a porous region. The solutions account for the boundary effects and for the stress jump boundary condition at the interface recently suggested by Ochoa-Tapia and Whitaker (1995a, b). The dependence of the velocity on the adjustable coefficient in the stress jump boundary condition and suction/injection is investigated. It is shown that accounting for a jump in the shear stress at the interface and suction are essentially influence velocity profiles. It is also observed that the unsteady velocity coincides with the steady-state velocity at large times. An excellent agreement was found between the results for large time values and well-known time values for steady-state problems.