where subscripts 1 and 2 refer to the upstream and downstream flow conditions, respectively; F Froude number; F=V / gd; d and V flow depth and velocity, respectively; and g=gravity acceleration. The hydraulic jump is typically classified in terms of its inflow Froude number F1=V1 / gd1, which must be greater than unity Bélanger 1828; Henderson 1966 . For F1 slightly above unity, the hydraulic j...

In a hydraulic jump, the turbulent flow region between the upstream supercritical flow and downstream subcritical flow is called the jump roller. The turbulence development in the jump roller leads to substantial energy dissipation as well as free-surface fluctuations, oscillations of jump position, air entrainment and unstationary velocity field. The time scales of these motions cover a broad ...

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...