Mixed convection in a non-Darcian fluid saturated square porous enclosure under multiple suction effect

Abstract

This study examines the influence of multiple injection/suction at bottom/top walls on non-Darcy mixed convection flow in a vertical square enclosure filled with fluid saturated porous medium. The coupled non-linear partial differential equations modeling the fully developed Forchheimer extended Darcy flow are solved by finite element method. Detailed numerical simulations are carried out for a wide range of parameters such as Grashof number ( Gr∗ ∈ [0, 10]), Rayleigh Number ( Ra ∈ [50, 500]), injection/suction velocity ( a ∈ [0, 0.5]), injection/suction window width ( D/ H ∈ [0, 0.3]). The computed flow and temperature fields are analysed through streamlines, isotherms and cumulative heat flux plots. While the Nusselt number increases with increasing ( D/ H) it is found to decrease with increasing ‘ a’. Inertial forces significantly favor the heat transfer process when thermal buoyancy forces are large (i.e. for Ra > 100).