A ug 2 00 5 The hydraulic jump as a white hole
نویسنده
چکیده
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-Gullstrand metric appropriate for the propagating ripplons, the interior region imitates the white hole. The hydraulic jump represents the physical singularity at the white-hole horizon. The instability of the vacuum in the ergoregion inside the circular hydraulic jump and its observation in recent experiments on superfluid 4 He by E. Rolley, C. Guthmann, M.S. Pettersen and C. Chevallier [3] are discussed.
منابع مشابه
5 The hydraulic jump as a white whole
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...
متن کاملThe hydraulic jump as a white hole
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 ...
متن کاملTheoretical Criterion for Stability of Free Hydraulic Jump on Adverse Stilling Basins
Hydraulic jump on adverse stilling basin is an unstable phenomenon which causes some complexities in controlling of the jump. This paper considers the stability of free hydraulic jump on adverse stilling basins from a theoretical point of view. A minimum value of upstream Froude number is needed to produce the free hydraulic jump on adverse stilling basins which was presented by a theoretical...
متن کاملExperimental Investigation of the Characteristics of Hydraulic Jump in a Diverging Stilling Basin with an Adverse Slope Using Baffle Blocks
Stilling basins have been used as an energy dissipater downstream of hydraulic structures. Dimensions of the stilling basins depends on hydraulic jump characteristics. In this research diverging hydraulic jump with an adverse slope using baffle blocks and an end sill have been studied experimentally and effect of diverging angle of the walls, adverse bed slope and baffle blocks on the hydraulic...
متن کامل