118 citations · 254 across the 16 of their papers we have counts for
4 papers · 1 filter
On the trajectory of the nonlinear pendulum: Exact analytic solutions via power series
W. Cade Reinberger, Morgan S. Holland, Nathaniel S. Barlow +1
We provide an exact infinite power series solution that describes the trajectory of a nonlinear simple pendulum undergoing librating and rotating motion for all time. Although the…
The Rayleigh collapse of two spherical bubbles
Anthony Harkin, Adam Giammarese, Nathaniel S. Barlow +1
The inertial collapse of two interacting and non-translating spherical bubbles of equal size is considered. The exact analytic solution to the nonlinear ordinary differential equat…
On the shape of air-liquid interfaces with surface tension that bound rigidly-rotating liquids in partially filled containers
Enrique Ramé, Steven J. Weinstein, Nathaniel S. Barlow
The interface shape of a fluid in rigid body rotation about its axis and partially filling the container is often the subject of a homework problem in the first graduate fluids cla…
The effect of pressure fluctuations on the shapes of thinning liquid curtains
Bridget M. Torsey, Steven J. Weinstein, David S. Ross +1
We consider the time-dependent response of a gravitationally-thinning inviscid liquid sheet (a coating curtain) leaving a vertical slot to sinusoidal ambient pressure disturbances.…