  Motivated by the dynamics of microbubbles near catalytic surfaces in
bubble-powered microrockets, we consider theoretically the growth of a free
spherical bubble near a flat no-slip surface in a Stokes flow. The flow at the
bubble surface is characterised by a constant slip length allowing to tune the
hydrodynamic mobility of its surface and tackle in one formulation both clean
and contaminated bubbles as well as rigid shells. Starting with a bubble of
infinitesimal size, the fluid flow and hydrodynamic forces on the growing
bubble are obtained analytically. We demonstrate that, depending on the value
of the bubble slip length relative to the initial distance to the wall, the
bubble will either monotonically drain the fluid separating it from the wall,
which will exponentially thin, or it will bounce off the surface once before
eventually draining the thin film. Clean bubbles are shown to be a singular
limit who always monotonically get repelled from the surface. The bouncing
events for bubbles with finite slip lengths are further analysed in detail in
the lubrication limit. In particular, we identify the origin of the reversal of
the hydrodynamic force direction as due to the change in the flow pattern in
the film between the bubble and the surface and to the associated lubrication
pressure. Finally, the final drainage dynamics of the film is observed to
follow a universal algebraic scaling for all finite slip lengths.
