Three-dimensional geometry and topology effects in viscous streaming

Recent studies on viscous streaming flows in two dimensions have elucidated the impact of body curvature variations resulting flow topology and dynamics, with opportunities for microfluidic applications. Following that, we present here a three-dimensional characterization as function changes geometry topology, starting from well-known case sphere to progressively arrive at toroidal shapes. We leverage direct numerical simulations dynamical systems theory systematically analyze reorganization into dynamically rich set regimes, origins which are explained using bifurcation theory.