Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell
Fluid Dynamics
2024-10-11 v1 Complex Variables
Abstract
In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the realization of potential flows with circulation. We present canonical Hele-Shaw experiments with circulation prescribed by the electromagnetic configuration, and rationalize the observed flows theoretically. We also draw an analogy between this new class of circulatory potential flows and a class of electrostatic systems.
Cite
@article{arxiv.2410.07366,
title = {Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell},
author = {Kyle I. McKee and John W. M. Bush},
journal= {arXiv preprint arXiv:2410.07366},
year = {2024}
}