Natural Convection in an Inclined Parallelogrammic Porous Enclosure

This paper reports the numerical investigation of natural convection in an inclined parallelogrammic porous enclosure. The vertical sloping sidewalls of the enclosure are maintained at different, uniform temperatures, while the top and the bottom walls are kept at adiabatic. Using Darcy’s law, the governing equations are modeled and are solved using an implicit finite difference method. Detailed numerical computations are performed for wide range of Rayleigh numbers, aspect ratio of the cavity, tilt angle of the parallelogrammic enclosure, and tilt angle of the sloping sidewalls. The main objective of this analysis is to explore the effect of two tilt angles combined with other two parameters on the flow pattern, thermal fields, and heat transfer rates. Through comprehensive and systematic numerical simulations, the effects of all parameters are successfully captured in our study. We found that the streamlines, isotherms, and average Nusselt numbers are significantly altered by the tilt angle of the enclosure compared to non-inclined parallelogrammic enclosure. Further, the tilt angle of enclosure is dominant in modifying the flow pattern and heat transfer performance in the enclosure compared to the tilt angle of the sloping walls.