Two-dimensional forced convection heat transfer from a heated porous semicircular obstacle attached to the adiabatic channel wall is numerically studied in the laminar and steady flow regime. The fluid is assumed to be Newtonian and incompressible. The aggregate influences of the chosen ranges of Prandtl number (Pr), Darcy number (Da), porosity (e), Reynolds number (Re), and the blockage ratio (b) of the channel are explored. The Darcy-Brinkman-Forchheimer model is implemented to tackle the flow through the porous obstacle and the obtained governing equations are solved by FEM-based COMSOL Multiphysics. The complex thermal field is illustrated through the isotherm contours, local and average Nusselt number. The front part of the obstacle contributes to the maximum heat transfer. Pr, Re, and the blockage ratio have a positive impact on heat transfer at a small value of Da.
An unconfined air flow across a semi-circular permeable/porous cylinder is numerically investigated for different Reynolds (Re) and Darcy numbers (Da) at a fixed value of porosity. The Darcy-Brinkman-Forchheimer model has been administered to deal with the flow field inside the porous cylinder. The governing equations are solved by using the finite element method-based commercial software COMSOL Multiphysics. The obtained flow field is analyzed by streamline profiles and vorticity contours. The collective impact of Re and Da on the drag coefficient is evaluated. At low Da values, the cylinder resembles the solid cylinder as the vorticity contours and streamlines do not infiltrate the porous media. The increment in Da leads to penetration of streamlines and vorticity contours through the porous cylinder. The drag coefficient retained an inverse relationship with Re and showed a complex relationship with Da.
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