17 citations · 29 across the 14 of their papers we have counts for
4 papers · 1 filter
Quartic Lyapunov functions for global fluid stability
David Darrow, Elizabeth Carlson, David Goluskin
A fluid system is 'globally stable' if all initial conditions eventually converge to the same state. Since Reynolds (1895) and Orr (1907), the standard way to show global stability…
On the Geometry of Spreading Puddles
David Darrow
We develop a geometric model for the spreading of shallow, viscous puddles of arbitrary shape, building on the recent 'capillary current' model for axisymmetric droplets. In short,…
Extending the Droplet-Wave Statistical Correspondence in Walking Droplet Dynamics
Skyler Mao, David Darrow
Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially unders…
Capillary currents and viscous droplet spreading
David Darrow, Lucas Warwaruk, John W. M. Bush
We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting…