118 citations · 255 across the 17 of their papers we have counts for
4 papers · 2 filters
On the response of neutrally stable flows to oscillatory forcing with application to liquid sheets
Colin M. Huber, Nathaniel S. Barlow, Steven J. Weinstein
Industrial coating processes create thin liquid films with tight thickness tolerances, and thus models that predict the response to inevitable disturbances are essential. The mathe…
On the shape of an axisymmetric meniscus rising from a static liquid pool
Nastaran Naghshineh, W. Cade Reinberger, Nathaniel S. Barlow +2
We examine the classical problem of the height of a static liquid interface that forms on the outside of a solid vertical cylinder in an unbounded stagnant pool exposed to air. Gra…
On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability
Colin M. Huber, Nathaniel S. Barlow, Steven J. Weinstein
This work considers two linear operators which yield wave modes that are classified as neutrally stable, yet have responses that grow or decay in time. Previously, King et al. (Phy…
On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs
Nastaran Naghshineh, W. Cade Reinberger, Nathaniel S. Barlow +2
We examine the power series solutions of two classical nonlinear ordinary differential equations of fluid mechanics that are mathematically related by their large-distance asymptot…