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physics.flu-dyn2022
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…
physics.flu-dyn2022
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…
physics.flu-dyn2019
On the stability of waves in classically neutral flows
Colin Huber, Meaghan Hoitt, Nicole Hill +3
This paper reports a breakdown in linear stability theory under conditions of neutral stability that is deduced by an examination of exponential modes of the form $h\approx {{e}^{i…