Hyperbolic Water Vortex

A hyperbolic water vortex is an engineered swirling flow in which water rotates around a central axis within a vessel or channel shaped to promote controlled vortex formation. Tangential inflow gives the water angular momentum, while the resulting pressure gradient draws the free surface downward and concentrates motion toward the vortex core; the geometry influences velocity, depth, and stability. In engineering, these vortices support studies of fluid dynamics, mixing, sediment transport, aeration, and low-head hydropower. Understanding how vessel shape and flow conditions govern vortex behavior helps optimize energy transfer, improve hydraulic designs, and predict performance in water-processing systems.

Hyperbolic Water Vortex - Related Videos

Research

JoVE Journal - Environment
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Implementation of a Hyperbolic Vortex Plasma Reactor for the Removal of Micropollutants in Water

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2025

This study presents the methodology for the generation of six different types of plasma discharges within a Hyperbolic Vortex Plasma Reactor for the degradation of micropollutants in water, including pharmaceuticals and per- and polyfluoroalkyl substances (PFAS).

Research

JoVE Journal - Engineering
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Preparation of Free-Surface Hyperbolic Water Vortices

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Cited by 6 •

2023

This paper describes how three different water vortex regimes in a hyperbolic Schauberger funnel can be created, their most important characteristics, and how associated parameters such as the oxygen transfer rates can be calculated.

Education

JoVE Science Education - Engineering

Flow Visualization in a Water Tunnel: Observing the Leading-edge Vortex Over a Delta Wing

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2023

Source: Jose Roberto Moreto, Gustaaf Jacobs and Xiaofeng Liu, Department of Aerospace Engineering, San Diego State University, San Diego, California The delta wing, shown in Figure 1D, is a popular design in high-speed airplanes due to its superb performance in transonic and supersonic flight regimes. This type of wing has a small aspect ratio and high sweep angle, which reduces drag at high subsonic, transonic and supersonic flight regimes. The aspect ratio is defined as the wing span divided...

Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

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2026

An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...

Hyperbolic Functions

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2026

A flexible cable suspended between two points at the same height naturally forms a curve known as a catenary. This shape results from the balance between the cable’s weight and the tension acting along its length, representing a state of mechanical equilibrium. Unlike simpler approximations, the true shape of a hanging cable is described using hyperbolic functions.Hyperbolic functions are closely related to exponential functions and are named for their connection to the geometry of the...

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