In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is 'relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagating into the interior region. In terms of the effective 2+1 dimensional Painlevé-Gullstran...

In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is 'relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagate into the interior region. In terms of the effective 2+1 dimensional Painlevé-Gullstrand ...

In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is 'relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagating into the interior region. In terms of the effective 2+1 dimensional Painlevé-Gullstran...

We present the results of a combined theoretical and experimental investigation of the influence of surface tension σ on the laminar circular hydraulic jump. An expression is deduced for the magnitude of the radial curvature force per unit length along a circular jump, Fc =−σ (s − R)/Rj , where Rj is the jump radius, and s and R are, respectively, the arclength along the jump surface and radial...

We consider three-dimensional hydraulic jumps (shocks) propagating along boundaries in rotating fluids. This study is motivated by earlier work (Fedorov & Melville 1995), which dealt with the evolution to breaking of nonlinear Kelvin waves. We obtain the jump relations and derive an evolution equation for the jump as it propagates along the boundary. It is shown that after some initial adjustme...

We examine theoretically the spread of a jet impacting on circular disk and hydraulic jump viscoplastic fluid Herschel–Bulkley type. The depth-averaging approach is employed in supercritical region, subcritical flow assumed to be inertialess lubrication treated as shock, where balance mass momentum established radial direction, including effect surface tension across jump. show that, contrast N...

The performance of two popular hydraulic models (HEC-RAS and WSPG) for modeling hydraulic jump in an open channel is investigated. The numerical solutions are compared with a new experimental data set obtained for varying channel bottom slopes and flow rates. Both the models satisfactorily predict the flow depths and location of the jump. The end results indicate that the numerical models outpu...

Cell ‘trap and release’ in microfluidic devices is critical for on-chip concentration purposes and dynamic microarrays. However, most existing mechanical trapping modalities lack release capabilities and some employ very complex or abrasive trapping mechanisms. Here we describe a novel cell ‘trap and release’ device, which employs principles similar to the ‘hydraulic jump’ phenomenon in nature....