Gravity-Driven Flow Over a Porous Inclined Surface
The two-dimensional problem of gravity-driven flow of a thin layer of fluid down a porous inclined surface is discussed. A velocity profile based on the steady-state flow is used to derive a first-order Integrated Boundary Layer model. A linear stability analysis is conducted while non-linear numerical simulations are used to validate the stability predictions. The stability predictions of the first-order model are also compared directly to those of a second-order model. The influence of porosity and other flow parameters is investigated both analytically and numerically.
Research supervised by Professor Serge D’Alessio.