Double-diffusive natural convection in an inclined bi-L-shaped layered porous media: Darcy-Brinkman-Forcheimer model

Abstract

In this study, Brinkman–Forchheimer–extended Darcy model of the two dimensional double diffusive natural convection
heat and mass transfer generated in an inclined squarebi-L-shaped layered porous cavity filled with Newtonian fluid has
been investigated numerically. Each porous layer is considered isotropic, homogeneous and saturated with the same fluid.
The cavity is heated and salted from below where as the vertical walls are assumed to be adiabatic and impermeable. The
physical model for the momentum conservation equation makesuse of the Darcy-Brinkman-Forcheimer model, and the set
of coupled equations is solved using a finite volume approach. The power-law scheme is used to evaluate the flow, heat and
mass fluxes across each of the control volume boundaries. Tridiagonal matrix algorithm with under- relaxation is used in
conjunction with iterations to solve the nonlinear discretized equations. An in-house code developed for this study is
validated using previous studies. The results are presented graphically interms of streamlines, isotherms and iso-
concentrations. In addition, the heat and mass transfer rate in the cavityis measured in terms of the average Nusselt and
Sherwood numbers for various non dimensional parameters including,the buoyancy ratio N and the inclination angle
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