Abstract
A numerical study was performed to analyze the natural convection fluid flow and heat transfer in a vertical annular enclosure that is partially filled with a vertical annular layer of a porous medium. The vertical boundaries of the slender enclosure were isothermal whereas the horizontal boundaries were adiabatic. The interface between the two regions was impermeable, impeding the fluid to flow from one region to the other. The flow in the porous annular layer was modeled utilizing the generalized Brinkman extended Darcy equation. A finite-volume based scheme was employed in conjunction with a coordinate transformation to numerically solve the set of conservation equations in two regions. The effects of the governing parameters (geometrical, hydrodynamical and thermal) on fluid flow and heat transfer were established. Furthermore, it was found that heat transfer suppression across the annular fluid/porous region could be minimized by filling it partially with a porous medium. Results obtained in this study are directly applicable to the analysis and design of insulation systems, such as storage tanks and vertical pipes.
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