Momentum transfer across a semi-circular porous cylinder attached to a channel wall

Momentum transfer from a semi-circular porous cylinder attached to a rectangular channel wall has been investigated for the numerous values of germane parameters as Reynolds number (0.01 <= Re <= 40), Darcy number (10(-6) <= Da <= 10(-1)), blockage ratio (0.1667 <= beta <= 1.5) and porosity (0.1 <= epsilon 0.9) The porous media flow has been numerically modeled by implementing the Darcy-Brinkman-Forchheimer model. The combined influences of all the aforementioned parameters on the flow field are visualized by streamlines and vorticity profiles. The detailed insights of the flow field are provided by representing the pressure coefficient distribution and the values of the drag coefficient. The obtained results depict that the porosity influences flow characteristics at the high values of Darcy number. The pressure coefficient represents an inverse relationship with beta. The drag coefficient increases by increasing beta for all governing parameters. Furthermore, the drag coefficient shows a decreasing behavior for Da >= 10(-3) whereas it shows an involute dependency for 10(-6) <= Da <= 10(-4). Overall, the complex influences of Re, Da, beta, and epsilon on the flow field have been observed.

Automated summary

The study investigates momentum transfer from a semi-circular porous cylinder attached to a rectangular channel wall, revealing that porosity influences flow characteristics at high Darcy numbers, pressure coefficient has an inverse relationship with blockage ratio, and drag coefficient increases with all governing parameters.