# Motion of a helical vortex

@article{Fuentes2015MotionOA, title={Motion of a helical vortex}, author={Oscar Velasco Fuentes}, journal={arXiv: Fluid Dynamics}, year={2015} }

We study the motion of a single helical vortex in an unbounded, inviscid, incompressible fluid. The vortex is an infinite tube whose centerline is a helix and whose cross section is a circle of small radius (compared to the radius of curvature) where the vorticity is uniform and parallel to the centerline. Ever since Joukowsky (1912) deduced that this vortex translates and rotates steadily without change of form, numerous attempts have been made to compute these self-induced velocities. Here we…

## 9 Citations

### Flow topology of helical vortices

- Physics
- 2018

Equal coaxial symmetrically located helical vortices translate and rotate steadily while preserving their shape and relative position if they move in an unbounded inviscid incompressible fluid. In…

### Generalized helical vortex pairs

- PhysicsJournal of Fluid Mechanics
- 2019

New solutions describing the interaction of helical pairs of counter-rotating vortices are obtained using a vortex filament approach. The vortices are assumed to have a small core size allowing the…

### The self-induced motion of a helical vortex

- PhysicsJournal of Fluid Mechanics
- 2019

Helical vortices have been studied for more than a century to understand basic aspects of fluid motion. Helical vortices appear both in nature, e.g. as tornadoes, and in many industrial applications…

### Differences between the motion of a helical vortex and the movement of fluid particles along its axis

- PhysicsThermophysics and Aeromechanics
- 2020

The motion of a helical vortex and the movement of the fluid particles along its axis are analyzed. The same form of the helical axis of the vortex and the trajectory of the particles sometimes leads…

### Vortex bursting near a free surface

- PhysicsJournal of Fluid Mechanics
- 2020

When the cross-section is reduced, a vortex displays spiralling and elasticity, bursting when the external velocity drops. How are these properties affected near a free surface? To answer, a…

### Solitons and nonlinear waves along quantum vortex filaments under the low-temperature two-dimensional local induction approximation.

- PhysicsPhysical review. E
- 2016

This work shows that by putting the two-dimensional LIA into correspondence with the first equation in the integrable Wadati-Konno-Ichikawa-Schimizu (WKIS) hierarchy, the approach can be coupled to existing inverse scattering transform results from the literature in order to obtain solitary wave solutions including the analog of the Hasimoto one-soliton for the 2D-LIA.

### Structure and stability of Joukowski's rotor wake model

- PhysicsJournal of Fluid Mechanics
- 2021

Abstract In this work, Joukowski's rotor wake model is considered for a two-blade rotor of radius $R_b$ rotating at the angular velocity $\varOmega _R$ in a normal incident velocity $V_{\infty }$.…

### Travelling helices and the vortex filament conjecture in the incompressible Euler equations

- Computer Science, ArtCalculus of Variations and Partial Differential Equations
- 2022

The Euler equations are considered in vorticity form in jats:disp-formula and the Euler equation is considered in jat:tex-math.

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