Significance of Inclination and Energy Loss for a Free Convection Flow in a Chamber Filled with a Bidisperse Porous Medium

Abstract The steady free convection and entropy generation in a differentially heated square inclined enclosure filled with a saturated bidisperse porous medium (BDPM) is analysed. The governing equations of the model, consisted by the continuity equation, Darcy equation and energy for both phases, containing interphase transfer terms, are transformed in terms of non-dimension variables. The numerical solution of both phases of flow and heat transfer is achieved through the utilisation of a modified finite difference technique. After the process of discretisation, the algebraic system is solved using the successive over relaxation method. The influence of the involved parameters on the flow and heat transfer characteristics (stream functions, isotherms, and Nusselt numbers) is observed as well as the entropy generation for monodisperse and bidisperse porous medium cases. The results are focused on the behaviour of the flow at different angles of the inclination of the cavity. A strong correlation was observed between the present findings and previously published results in the open literature, for a vertical cavity.