Numerical simulation of turbulent oscillating flow in porous media

Abstract

Two macroscopic turbulence models, namely P-dL and N-K, have been proposed in recent years to simulate turbulent unidirectional flow in porous media. In this paper, a modification to the N-K model was proposed for turbulent oscillating flow in porous media. To this end, the flow in porous media was simulated on a microscale using a periodic array. The k-ε model was employed to solve turbulent oscillating flow in periodic array. A control volume approach was also used to discretize Navier-Stokes equations and k-ε equations and the well-established SIMPLE method was applied to investigate pressure and velocity coupling. In order to modify the N-K model, the e effects of different parameters such as frequency and Reynolds number were studied and the constants in the source terms of turbulent kinetic energy and its dissipation rate were modified in comparison to Re according to the microscale results. To validate the new modified constants, a modified N-K model was applied to turbulent oscillating flow in porous media and the obtained results were compared to the original N-K macroscopic model.