The role of nonunique axisymmetric solutions in 3-D vortex breakdown

DOI10.1063/1.869194zbMath1185.76852OpenAlexW2033376959MaRDI QIDQ5755664

J. C. Tromp, Philip S. Beran

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.869194

Mathematics Subject Classification ID

Related Items (6)

On the three-dimensional stability of a solid-body rotation flow in a finite-length rotating pipe ⋮ Absolute and convective instability character of slender viscous vortices ⋮ The stability of noncolumnar swirling flows in diverging streamtubes ⋮ Dynamics of a perturbed solid-body rotation flow in a finite-length straight rotating pipe ⋮ The interaction of near-critical swirling flows in a pipe with inlet azimuthal vorticity perturbations ⋮ On the development of three-dimensional vortex breakdown in cylindrical regions

Cites Work

• Compact finite difference schemes with spectral-like resolution
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• The time-asymptotic behavior of vortex breakdown in tubes
• A computational study of the topology of vortex breakdown
• Large-amplitude wavetrains and solitary waves in vortices
• Theory of the vortex breakdown phenomenon
• The role of non-uniqueness in the development of vortex breakdown in tubes
• On the stability of an axisymmetric rotating flow in a pipe
• On the stability of non-columnar swirling flows
• Inviscid swirling flows and vortex breakdown
• On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe

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