Regular and chaotic particle motion near a helical vortex filament
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Publication:1376439
DOI10.1016/S0167-2789(97)80011-5zbMath0962.76531MaRDI QIDQ1376439
Stephen Wiggins, Anthony Leonard, Igor Mezić
Publication date: 17 December 1997
Published in: Physica D (Search for Journal in Brave)
perturbationbifurcationsKAM theorystream functionvelocity fieldaxisymmetric strain fieldhelical vortex filament
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hydrodynamic stability (76E99) Viscous vortex flows (76D17)
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Accumulation of heavy particles around a helical vortex filament, Iterative techniques for computing the linearized manifolds of quasiperiodic tori, Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations, Flow topology of helical vortices, Motion of a helical vortex, Topology of helical fluid flow, KAM theory analysis of the dynamics of three coaxial vortex rings, Transport and bifurcation in a non-area-preserving two-dimensional map with applications to the discharge of pollution in an estuarine flow, Residence-time distributions for chaotic flows in pipes
Cites Work
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- Chaotic transport in dynamical systems
- Regular and chaotic dynamics.
- On the integrability and perturbation of three-dimensional fluid flows with symmetry
- Transport in 3D volume-preserving flows
- Resonant and chaotic advection in a curved pipe
- Passive scalars, three-dimensional volume-preserving maps, and chaos
- On a class of steady confined Stokes flows with chaotic streamlines
- Strained spiral vortex model for turbulent fine structure
- Soliton propagation on vortex cores and the Hasimoto soliton
- Chaotic streamlines inside drops immersed in steady Stokes flows
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence
- Chaotic streamlines in the ABC flows
- Numerical study of small-scale intermittency in three-dimensional turbulence
- The velocity field induced by a helical vortex filament
- Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems
- Heat-transfer enhancement due to slender recirculation and chaotic transport between counter-rotating eccentric cylinders
- Propagation of small-amplitude displacement waves on a vortex in the center of a circular tube
- The effect of torsion on the motion of a helical vortex filament
- Shear dispersion and anomalous diffusion by chaotic advection
- Vortex Dynamics
- On the curvature and torsion of an isolated vortex filament
- The motion of a vortex filament with axial flow
- The spatial structure and statistical properties of homogeneous turbulence