  Understanding the influence of hydrodynamic stresses and colloidal
interactions between droplets and membranes will inform better engineered
membrane surfaces and process conditions. Using a long-wave hydrodynamic
description that incorporates wettability and electrostatic repulsion, we
numerically investigate the influence of droplet shapes and membrane
characteristics on the overall repulsion-attraction towards the membrane
surface. A stability phase diagram classifies stable-unstable drop shapes and
investigate whether there is reversible deposition of droplets onto the
membrane.
