3 papers
physics.flu-dyn2025
Metric Geometry Governs Optimal Control in Driven Stokes Flows: Magnetic Driving and Beyond
Kyle McKee
In a canonical Stokes flow geometry, the Hele-Shaw cell, we show that tunable circulations induced by Lorentz forces in a conducting fluid enable particle control. We reveal that e…
physics.flu-dyn2025
Steady advection-diffusion in multiply-connected potential flows
Kyle McKee, Keaton Burns
We consider the steady heat transfer between a collection of impermeable obstacles immersed in an incompressible 2D potential flow, when each obstacle has a prescribed boundary tem…
physics.class-ph2024
Symmetry criteria for the equality of interior and exterior shape factors
Kyle McKee, John H. Lienhard
Lienhard (2019) reported that the shape factor of the interior of a simply-connected region () is equal to that of its exterior () under the same bounda…