Self-induced motion and asymptotic expansion of the velocity field in the vicinity of a helical vortex filament

DOI10.1063/1.869587zbMath1185.76212OpenAlexW2090461591MaRDI QIDQ5755839

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Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.869587

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (14)

An acentric rotation of two helical vortices of the same circulations ⋮ Short-wavelength stability analysis of a helical vortex tube ⋮ Merging of two helical vortices ⋮ Quasi-equilibrium states for helical vortices with swirl ⋮ Generalized helical vortex pairs ⋮ The velocity field induced by a helical vortex tube ⋮ DNS of flows with helical symmetry ⋮ A simplified vortex model of propeller and wind-turbine wakes ⋮ Internal structure of vortex rings and helical vortices ⋮ The self-induced motion of a helical vortex ⋮ Analytical solution of the flow field induced by the uniformly moving double helical vortex filaments ⋮ Motion of a helical vortex ⋮ Helical contour dynamics ⋮ Helical vortices and wind turbine aerodynamics

Cites Work

• ON THE EXISTENCE OF STEADY HELICAL VORTEX TUBES OF SMALL CROSS-SECTION
• The velocity field induced by a helical vortex filament
• The effect of torsion on the motion of a helical vortex filament
• The stability of a helical vortex filament
• The motion of a vortex filament with axial flow

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