Viscous streaming in 3D: Effects of geometry and topology

Recent studies on viscous streaming flows generated by oscillating bodies highlighted the importance of curvature effects in 2D geometries. Here we extend our understanding to 3D systems by investigating a series of shapes, starting from well-understood spheres and progressively breaking geometric and actuation symmetry. We leverage tools from direct numerical simulation and flow visualization to establish a sparse representation of often complex and dense 3D flows, and employ dynamical system theory to systematically analyze and characterize the underlying streaming dynamics. Capitalizing on the same protocol, we further explore streaming flows generated by topologically distinct bodies.