Stability of steady flow above a saturated porous medium
In this research stability of steady fluid flow above porous media is studied concerning a problem of fluid stability above a bottom covered with vegetation. The system a only-fluid layer - porous media layer, saturated with the same fluid is described using a single approach (using equations of motion in porous media), and two variables (depending on vertical coordinate) permeability and porosity are introduced to model the presence of two different layers. A surface restricting the system at the bottom is assumed to be solid, upper surface - free and warp-free. Neutral curves of the stability and dependences of minimum Reynolds number R(k) and wave number of the most dangerous perturbations against ratio of porous layer thickness to entire thickness was obtained. It was also shown that dependence Re m (d) is nonmonotonous.