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The collision of a rising bubble with a superhydrophilic horizontal surfaceis studied numerically using the Cahn-Hilliard diffuse-interface method. Forthe studied systems, the Bond number, $Bo=\rho R^2 g/\sigma$, varies between0.25 to 1.5, and the Galileo number, $Ga=\rho (R^3 g)^{1/2}/\mu$, changesbetween 8.5 to 50. We assume that the viscosity and density of the bubble arenegligible compared to the surrounding medium. We show that our computationsreproduce experimentally observed dynamics for the collision of a bubble with asolid surface. Furthermore, for the studied range of parameters, thebubble-wall collision is mainly in the inertial regime. Our simulations showthat even in the absence of substantial viscous dissipation, the ratio ofrebound-to-collision velocity, the so-called coefficient of restitution, ismuch smaller than one for the studied systems. More importantly, thecoefficient of restitution best scales with the Froude number,$Fr=U_{t}/\sqrt{g R}$, the ratio of inertial to gravitational forces.

Cahn-Hilliard diffuse interface simulations of bubble-wall collisions