Path of a pair of deformable bubbles rising initially in line and close to a vertical wall

We simulate the dynamics of a pair of three-dimensional deformable bubbles rising initially in-line and close to a vertical wall in an otherwise quiescent liquid. Our findings reveal that the wall-induced asymmetry significantly alters the evolution of the bubble paths and wakes, with horizontal separation occurring in either the wall-normal plane or the wall-parallel plane, depending on the competition between irrotational and vortical effects. We also analyze the influence of initial angular deviations, demonstrating how the final geometry of the bubble pair helps us understand inhomogeneous near-wall bubble distributions.