MODELING WALL-INDUCED FORCES ON BUBBLES FOR INCLINED WALLS

A model for the wallinduced forces on bubbles for application in two-fluid model simulations of bubbly flows has been derived. The wall-induced force is obtained as the integral of an excess pressure calculated from the solution of the lubrication equation. Our numerical results are compared with experiments and it is shown that the wall-induced force is a function of the buoyancy and added mass forces, modulated by a smoothed Heaviside function that accounts for the proximity to the wall. This model explicitly accounts for the Reynolds, Eotvos and Weber numbers of the bubble and is valid in a larger range of these numbers than previous models.