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A theoretical prediction of rotating waves in Type-I hydraulic jumps
Authors:Arnab K Ray  Niladri Sarkar  Abhik Basu  Jayanta K Bhattacharjee
Institution:1. Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar 382007, Gujarat, India;2. Max-Planck Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, Dresden, D-01187, Germany;3. Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India
Abstract:The rotation of polygons in a Type-II hydraulic jump prompts us to look for a rotational feature in the Type-I hydraulic jump. Coupling the radial and azimuthal flows breaks the azimuthal symmetry of the shallow-water circular jump. An unstable rotating wave along the circumference of the jump is possible with a kinematic viscosity of very small order, whose upper threshold value is less than the kinematic viscosity of water.
Keywords:Symmetry breaking  Rotating flows  Gravity waves
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