The wobbling motion of single and two inline bubbles rising in quiescent liquid

The wobbling motions of single and two inline bubbles rising in quiescent liquid are investigated via three-dimensional simulations using the volume fluid method. First, we simulate an 8 mm air bubble water, yielding motion. has roles: (1) excessive curvature speeds up separation boundary layer (2) velocity peaks (high Reynolds number) result formation asymmetrical vortices. oscillation frequencies (6 Hz, St = 0.22) movement, vorticity accumulated on surface, lift force viscous same while frequency aspect ratio is twice that movement. volume-averaged presents a linear increase with rise kinetic energy displays quadratic increase. Finally, different initial distances. central breakup trailing observed at short distance 2d (d diameter). For longer 6d, wake leading results lateral motion bubble, depending position intensity vortices it encounters.