Three-dimensional bubble jetting inside a corner formed by rigid curved plates: Boundary integral analysis

This study investigates the three-dimensional dynamics of a transient bubble inside a corner formed by two rigid curved parabolic plates using the boundary integral method (BIM) based on potential flow theory.

The research examines how different corner angles, associated with different focal lengths k of the parabolas, affect bubble behavior while maintaining a fixed dimensionless initial vertical standoff distance (h*=4) of the bubble’s center from the corner edge. During expansion, the bubble remains nearly spherical except where its surface flattens near the walls. When initiated at the bisector plane of the intersecting walls, the bubble oscillates symmetrically and becomes oblate during late collapse stages, with a high-speed liquid jet forming toward the corner. As the corner angle decreases, the bubble becomes more oblate along the bisector plane, resulting in a wider and slower liquid jet. When initiated closer to one wall, the bubble is predominantly influenced by that wall, oscillating non-symmetrically with respect to the bisector plane, and the resulting liquid jet inclines toward the closer wall due to greater Bjerknes force from that wall.

This research provides insights into complex bubble dynamics in non-flat geometrical configurations with potential applications in various engineering fields.