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In the presence of viscosity the hydraulic jump in one dimension is seen to be a first-order transition. A scaling relation for the position of the jump has been determined by applying an averaging technique on the stationary hydrodynamic…

Other Condensed Matter · Physics 2016-08-31 Subhendu B. Singha , Jayanta K. Bhattacharjee , Arnab K. Ray

Hydraulic jumps are oftentimes encountered in natural and human-made environments. The transition from supercritical to subcritical flow involves large energy dissipation rates and substantial air entrainment, preventing the use of…

Fluid Dynamics · Physics 2022-04-26 Matthias Kramer , Daniel Valero

Hybrid dynamical systems, i.e. systems that have both continuous and discrete states, are ubiquitous in engineering, but are difficult to work with due to their discontinuous transitions. For example, a robot leg is able to exert very…

Robotics · Computer Science 2024-09-04 Nathan J. Kong , J. Joe Payne , James Zhu , Aaron M. Johnson

When a fluid jet strikes an inclined solid surface at normal incidence, gravity creates a flow pattern with a thick outer rim resembling a parabola and reminiscent of a hydraulic jump. There appears to be little theory or experiments…

Fluid Dynamics · Physics 2010-09-02 Jean-Luc Thiffeault , Andrew Belmonte

We report on observations made on a run of transcritical flows over an obstacle in a narrow channel. Downstream from the obstacle, the flows decelerate from supercritical to subcritical, typically with an undulation on the subcritical side…

General Relativity and Quantum Cosmology · Physics 2022-03-21 Johan Fourdrinoy , Scott Robertson , Nicolas James , Alessandro Fabbri , Germain Rousseaux

Two-phase flow with low liquid loads is common in high-pressure natural gas offshore gathering and transmission pipelines. During gas production slowdowns or shutdowns, an accumulation of liquid in the lower sections of subsea pipelines may…

Fluid Dynamics · Physics 2024-10-10 Alexander Yurishchev , Neima Brauner , Amos Ullmann

Free surface, axially symmetric shallow flow is analysed in both the centrifugal and centripetal directions. Referring to the inviscid steady flow over a flat plate characterised by a unique value of specific energy, the analytical sub- and…

Fluid Dynamics · Physics 2019-12-16 Alessandro Valiani , Valerio Caleffi

In this paper, we propose an analytical framework for internal hydraulic jumps. Density jumps or internal hydraulic jumps occur when a supper critical flow of water discharges into a stagnant layer of water with slightly different density.…

Fluid Dynamics · Physics 2013-12-12 Bahar Firoozabadi , Milad Samie , Asghar Aryanfar , Hossein Afshin

We present the results of some experiments on the circular hydraulic jump in normal and superfluid liquid helium. The radius of the jump and the depth of the liquid outside the jump are measured through optical means. Although the scale of…

Fluid Dynamics · Physics 2009-11-11 Etienne Rolley , Claude Guthmann , Michael S. Pettersen , Christophe Chevallier

Turbulent flows beneath a free surface play a central role in the Earth system, yet their coupling to observable surface features remains incompletely understood. Recent studies using Direct Numerical Simulations (DNS) have reported strong…

The unusually high surface tension of room temperature liquid metal is molding it as unique material for diverse newly emerging areas. However, unlike its practices on earth, such metal fluid would display very different behaviors when…

We combine non-hydrostatic flow simulations of the free surface with a discharge model based on elementary gate flow equations for decision support in operation of hydraulic structure gates. A water level-based gate control used in most of…

Computational Engineering, Finance, and Science · Computer Science 2014-01-31 C. D. Erdbrink , V. V. Krzhizhanovskaya , P. M. A. Sloot

In recent years, there has been an increasing research interest in the application of remote sensing technology to highly aerated flows, which is because this technology holds the ultimate promise to enable safe and accurate measurements of…

Fluid Dynamics · Physics 2024-08-19 Matthias Kramer , Daniel B. Bung

We study laminar thin film flows with large distortions in the free surface using the method of averaging across the flow. Two concrete problems are studied: the circular hydraulic jump and the flow down an inclined plane. For the circular…

Fluid Dynamics · Physics 2007-05-23 Shinya Watanabe , Vachtang Putkaradze , Tomas Bohr

Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

Numerical Analysis · Mathematics 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite…

Mathematical Physics · Physics 2014-10-23 Nikolay Kuznetsov , Oleg Motygin

In this fluid dynamics video, we present an overview of the most important results recently obtained in our group using an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This…

Fluid Dynamics · Physics 2010-10-19 P. Cobelli , G. Lagubeau , M. Chekroun , A. Przadka , A. Maurel , V. Pagneux , P. Petitjeans

Despite substantial technological advancements, the comprehensive mapping of surface water, particularly smaller bodies (<1ha), continues to be a challenge due to a lack of robust, scalable methods. Standard methods require either training…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Hunsoo Song , Jinha Jung

We present a simple viscous theory of free-surface flows in boundary layers, which can accommodate regions of separated flow. In particular this yields the structure of stationary hydraulic jumps, both in their circular and linear versions,…

Fluid Dynamics · Physics 2009-10-30 Tomas Bohr , Vachtang Putkaradze , Shinya Watanabe

The formation of a planar hydraulic jump has been analysed in the framework of a full depth-averaged thin film model (DAM) with surface tension effects included. We have demonstrated regular weak solutions of the full DAM and analysed…

Fluid Dynamics · Physics 2021-06-09 Alex V. Lukyanov , Tristan Pryer , Edward Calver
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