Videos
Example of Current Experimental Research in the Lab
Viscous Fluid Conduit Solitons
Single Soliton
Single Soliton
Single soliton, closed streamlines
Bimodal interaction of two solitons
Solitons transfer fluid
Unimodal interaction of two solitons
Mixed interaction of two solitons
These videos depict solitary waves or solitons at the interface of a buoyant viscous fluid conduit created by a "pulse" of additional fluid. ÌýThe geometry of soliton interaction depends on the sizes of the two solitons. ÌýVideo (except the colored ones) has been rotated 90 degrees, sped up, and aspect ratios have been changed. ÌýThe videos titled "Single soliton closed streamlines" and "Solitons transfer fluid" are rotated 90 degrees and are in real time with a 1:1 aspect ratio. ÌýAssociated paper.
Viscous Fluid Conduit Dispersive Shock Waves
Moderately sized dispersive shock wave
Large dispersive shock wave with backflow
Dispersive shock wave backflow (zoom)
Dispersive shock waves in a viscous fluid conduit are created by ramping up the injection rate to a sustained, larger value. ÌýWavebreaking (gradient catastrophe) eventually occurs, leading to the spontaneous emergence of coherent, rank-ordered, expanding, nonlinear oscillations. ÌýFor large jumps in the injection rate, the trailing edge envelope can propagateÌýoppositeÌýto the direction of fluid flow upward. ÌýVideo has been rotated 90 degrees, sped up, and aspect ratios have been changed. ÌýAssociatedÌýtheoryÌý²¹²Ô»åÌýexperiment.Ìý
Dispersive Hydrodynamics of Viscous Fluid Conduits
Soliton overtaking dispersive shock wave
Dispersive hydrodynamics encompasses the large scale dynamics of dissipationless, dispersive fluids. ÌýThe video depicts the overtaking interaction of a soliton and a dispersive shock wave. ÌýThe image above is a space-time snapshot of the entire video (a contour plot of the experimental conduit amplitude in space-time), showing that the soliton is actually decelerated orÌýrefractedÌýby the dispersive shock wave. ÌýAssociatedÌýexperiment.
Dispersive shock wave overtaking soliton
Here, the soliton is launched first followed by a dispersive shock wave. ÌýThe soliton is eventually absorbed into the interior of the expanding dispersive shock wave. ÌýAssociatedÌýexperiment.
Interaction of two dispersive shock waves
Interaction of two dispersive shock waves resulting in a merged dispersive shock wave that is decelerated (accelerated) relative to the trailing (leading) shock. ÌýAssociatedÌýexperiment.