Darcy–Brinkman–Forchheimer model for natural convection analysis of porous cavity with entropy generation and triangle vanes

Abstract

This paper investigates the temperature distribution in solid and fluid phases, stream function, natural convection, and thermal entropy generation. In the current work, the temperature diffusion in the solid and fluid phases, stream function, and entropy generation are all analyzed using the finite element method (FEM). Considerably, several circular heated obstacles exert an effect on thermal performance, including stream function Ψ, and temperature distribution in solid phase θ_s and fluid phase θ_f, entropy generation. Moreover, to achieve optimal system performance and energy utilization, emphasis should be placed on the detailed examination of influential parameters such as Rayleigh number, Darcy number, Prandtl number, and ε on fluid flow, Nu_f, ave,  Nu_s, ave, S_htf, ave,  S_hts, ave,  and Ty_ave. The computation in the results was validated by accurately adapting it to the stream function, temperature diffusion in the solid phase and fluid phase, and various γ for Nu_f, ave and Nu_s, ave. Based on numerical results, it was found that there was a noticeable increase in S_htf, ave,  S_hts, ave,  Nu_f, ave and Nu_s, ave as the Darcy and Rayleigh numbers increased. Conversely, S_htf, ave,  S_hts, ave,  Nu_f, ave and Nu_s, ave dropped with an increase in ε.