Three-dimensional geometry and topology effects in viscous streaming
Fluid Dynamics
2023-06-22 v1
Abstract
Recent studies on viscous streaming flows in two dimensions have elucidated the impact of body curvature variations on resulting flow topology and dynamics, with opportunities for microfluidic applications. Following that, we present here a three-dimensional characterization of streaming flows as function of changes in body geometry and topology, starting from the well-known case of a sphere to progressively arrive at toroidal shapes. We leverage direct numerical simulations and dynamical systems theory to systematically analyze the reorganization of streaming flows into a dynamically rich set of regimes, the origins of which are explained using bifurcation theory.
Cite
@article{arxiv.2106.08447,
title = {Three-dimensional geometry and topology effects in viscous streaming},
author = {Fan Kiat Chan and Yashraj Bhosale and Tejaswin Parthasarathy and Mattia Gazzola},
journal= {arXiv preprint arXiv:2106.08447},
year = {2023}
}