Influence of cavity inclination on mixed convection in a double-sided lid-driven cavity with a centrally inserted hot porous block

Abstract

A numerical investigation is made to understand the influence of seven distinct cavity inclination angles (α = 0°, 15°, 30°, 45°, 60°, 75° and 90°) on the fluid flow behaviour during mixed convection in a double-sided lid-driven cavity for varied Richardson numbers (0.01≤Ri≤100). A hot porous square block with a blockage ratio of 0.25 is inserted at the cavity centre. We employ the multiple-relaxation-time lattice Boltzmann technique, which incorporates the Brinkman-Forchheimer-extended Darcy model for simulating flow through the permeable structure at different Darcy numbers (10−2≤Da≤ 10−6). The validation of the present developed code provides reasonable agreement with the previously reported findings acquired using conventional CFD approaches. It is noticed from the results that the cavity inclination angles provide a substantial impact on the generation of entropy and the rate of heat transfer. Furthermore, the findings reveal that the values of Ri and Da influence the optimal energy-efficient condition for a flow configuration.