Fluid Flow Control Using Porous Media: Lattice Boltzmann Method

In this paper the Lattice Boltzmann Method based on Brinkman-Forchheimer equation is applied to simulate flow past a square cylinder covered by a porous layer. The porous media effect is incorporated as a force term in the lattice Boltzmann equation. The method is tested against fully porous Poiseuille, Couette and lid-driven cavity flows. Upon comparing the results with the analytical and numerical data available in the literature, a satisfactory agreement is observed. Then, a detailed investigation on the flow past a porous covering square cylinder is presented. The Reynolds number ranges from 20 to 250 and Darcy number from 10-2 to 10-6 .The numerical results shows that selecting appropriate porous parameters can postpone vortex shedding and reduce Strouhal number and drag coefficient. Results show that the drag coefficient and Strouhal number are smaller for large Darcy number and small porous layer thickness. For low Reynolds number (