Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell

Kyle I. McKee; John W. M. Bush

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arXiv · 2410.07366

Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell

Kyle I. McKee·John W. M. Bush

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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.

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Kyle I. McKee, John W. M. Bush. 2024-10-09. Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell. https://arxiv.org/abs/2410.07366

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