On the self-induced motion of a helical vortex
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Publication:4248013
DOI10.1017/S002211209900422XzbMath0934.76013MaRDI QIDQ4248013
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Publication date: 3 April 2000
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
closed-form solutionasymptotic expansionsbinormal velocitylarge pitchsmall pitchself-induced velocity
Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)
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The instability of a helical vortex filament under a free surface ⋮ An acentric rotation of two helical vortices of the same circulations ⋮ Accumulation of heavy particles around a helical vortex filament ⋮ Short-wavelength stability analysis of a helical vortex tube ⋮ Helical vortex filament motion under the non-local Biot–Savart model ⋮ Generalized helical vortex pairs ⋮ The velocity field induced by a helical vortex tube ⋮ Obituary: Johannes Boersma (1937--2004), a remarkable mathematician ⋮ A simplified vortex model of propeller and wind-turbine wakes ⋮ Applications of 2D helical vortex dynamics ⋮ 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 ⋮ Vortex bursting near a free surface ⋮ Self-similar vortex filament motion under the non-local Biot–Savart model ⋮ Flow topology of helical vortices ⋮ Motion of open vortex-current filaments under the Biot–Savart model ⋮ Motion of a helical vortex ⋮ Dynamics of nearly parallel interacting vortex filaments ⋮ Helical vortices and wind turbine aerodynamics
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