Coupled Brinkman-Reynolds equations for turbulent flows over submerged vegetation

Coupled flows through and over permeable layers occur in a variety of natural phenomena including turbulent flows over submerged vegetation. In this work we employ a two-domain approach to model flow through and over submerged vegetation: this model couples the Reynolds with the Darcy-Brinkman equations, and allows one to derive analytical expressions for the average velocity profile through and over the canopies in terms of effective medium parameters, e.g. permeability and volume fraction. The purely predictive capabilities of our analytical solution are finally tested against experimental data