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Surface waves on a stationary flow of water are considered, in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Germain Rousseaux , Philippe Maissa , Christian Mathis , Pierre Coullet , Thomas G. Philbin , Ulf Leonhardt

Hydrodynamic surface waves propagating on a moving background flow experience an effective curved space-time. We discuss experiments with gravity waves and capillary-gravity waves in which we study hydrodynamic black/white-hole horizons and…

Fluid Dynamics · Physics 2014-01-21 J. Chaline , G. Jannes , P. Maïssa , G. Rousseaux

Surface waves in classical fluids experience a rich array of black/white hole horizon effects. The dispersion relation depends on the characteristics of the fluid as well as on the fluid depth and the wavelength regime. We focus on the…

General Relativity and Quantum Cosmology · Physics 2015-01-20 Gil Jannes , Germain Rousseaux

Ripplons -- gravity-capillary waves on the free surface of a liquid or at the interfaces between two superfluids -- are the most favourable excitations for simulation of the general-relativistic effects related to horizons and ergoregions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. E. Volovik

We impose a linearized Eulerian perturbation on a steady, shallow, radial outflow of a liquid (water), whose local pressure function includes both the hydrostatic and the Laplace pressure terms. The resulting wave equation bears the form of…

Fluid Dynamics · Physics 2022-11-08 Jayanta K. Bhattacharjee , Arnab K. Ray

We consider dissipation of surface waves on fluids, with a view to its effects on analogue gravity experiments. We begin by reviewing some general properties of wave dissipation, before restricting our attention to surface waves and the…

Fluid Dynamics · Physics 2018-03-15 Scott Robertson , Germain Rousseaux

There is an analogy between the propagation of fields on a curved spacetime and shallow water waves in an open channel flow. By placing a streamlined obstacle into an open channel flow we create a region of high velocity over the obstacle…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Silke Weinfurtner , Edmund W. Tedford , Matthew C. J. Penrice , William G. Unruh , Gregory A. Lawrence

In a shallow-water radial outflow the horizon of a hydrodynamic white hole coincides with a standing circular hydraulic jump. The jump, caused by viscosity, makes the horizon visible as a circular front, standing as a barrier against the…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Nisha Jangid , Arnab K. Ray

Motivated by the ideas of analogue gravity, we have performed experiments in a flume where an analogue White Hole horizon is generated, in the form of a wave blocking region, by suitably tuned uniform fluid (water) flow and…

Fluid Dynamics · Physics 2015-05-29 Debasmita Chatterjee , Praloy Das , Subir Ghosh , B. S. Mazumder

Rotation of non-circular hydraulic jumps is a recent experimental observation that lacks a theory based on first principles. Here we furnish a basic theory of this phenomenon founded on the shallow-water model of the circular hydraulic…

Fluid Dynamics · Physics 2016-08-24 Arnab K. Ray , Niladri Sarkar , Abhik Basu , Jayanta K. Bhattacharjee

We numerically study water wave packets on a spatially varying counter-current in the presence of surface tension. Depending on the details of the velocity profile, we show that traversable and bi-directional analogue wormholes exist in…

Fluid Dynamics · Physics 2016-04-27 Cédric Peloquin , Léo-Paul Euvé , Thomas Philbin , Germain Rousseaux

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…

Fluid Dynamics · Physics 2009-11-11 G. E. Volovik

It is demonstrated that gravity waves of a flowing fluid in a shallow basin can be used to simulate phenomena around black holes in the laboratory. Since the speed of the gravity waves as well as their high-wavenumber dispersion (subluminal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ralf Schützhold , William G. Unruh

Previous results on the scattering of surface waves by vertical vorticity on shallow water are generalized to the case of dispersive water waves. Dispersion effects are treated perturbatively around the shallow water limit, to first order…

Quantum Physics · Physics 2016-08-15 Christophe Coste , Fernando Lund

We provide an experimental demonstration that the circular hydraulic jump represents a hydrodynamic white hole or gravitational fountain (the time-reverse of a black hole) by measuring the angle of the Mach cone created by an object in the…

Fluid Dynamics · Physics 2011-05-19 G. Jannes , R. Piquet , P. Maissa , C. Mathis , G. Rousseaux

The conversion of positive-frequency waves into negative-frequency waves at the event horizon is the mechanism at the heart of the Hawking radiation of black holes. In black-hole analogues, horizons are formed for waves propagating in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Germain Rousseaux , Christian Mathis , Philippe Maissa , Thomas G. Philbin , Ulf Leonhardt

We report on what is to our knowledge the first scattering experiment of surface waves on an accelerating transcritical flow, which in the Analogue Gravity context is described by an effective spacetime with a black-hole horizon. This…

General Relativity and Quantum Cosmology · Physics 2020-04-09 Léo-Paul Euvé , Scott Robertson , Nicolas James , Alessandro Fabbri , Germain Rousseaux

When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wavefronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined…

Quantum Physics · Physics 2016-08-15 Christophe Coste , Makoto Umeki , Fernando Lund

In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered as a model of wave scattering on a rotating black hole. For…

Fluid Dynamics · Physics 2019-05-15 Semyon Churilov , Yury Stepanyants

Localization phenomena in light scattering from random fluctuations of matter fields and spacetime metric near a black hole horizon were predicted to produce a pronounced peak in the angular distribution of second harmonic light in the…

General Physics · Physics 2022-06-09 Igor I. Smolyaninov
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