Calculations of the stability of some axisymmetric flows proposed as a model of vortex breakdown

DOI10.1016/0168-9274(86)90033-4zbMath0611.76058OpenAlexW2012508779WikidataQ126819929 ScholiaQ126819929MaRDI QIDQ1087410

Nessan Mac Giolla Mhuiris

Publication date: 1986

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(86)90033-4

zbMATH Keywords

stabilitycontinuity equationthree-dimensional disturbancesbifurcation parametervortex breakdownaxisymmetric wavy flowscolumnar vortex flowsdifferential eigen problemdivergence free vectorsgeneralized matrix eigen probleminviscid vector fieldsone-dimensional, columnar vortex flowsperturbation velocitysingle axial locationstability equationtwo- dimensional flow

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Parallel shear flows in hydrodynamic stability (76E05) Bifurcations in context of PDEs (35B32) Basic methods in fluid mechanics (76M99)

Related Items

Calculations of the stability of some axisymmetric flows proposed as a model of vortex breakdown, On a solenoidal Fourier-Chebyshev spectral method for stability analysis of the Hagen-Poiseuille flow, Direct numerical simulation of pipe flow using a solenoidal spectral method, Instability of strongly nonlinear waves in vortex flows, The stability of noncolumnar swirling flows in diverging streamtubes, On the stability of non-columnar swirling flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculations of the stability of some axisymmetric flows proposed as a model of vortex breakdown
• A sufficient condition for the instability of columnar vortices
• The life and scientific work of Vladimir Ivanovich Smirnov
• Theory of the vortex breakdown phenomenon
• Linear stability of Poiseuille flow in a circular pipe
• Spectral Methods
• Weakly non-linear waves in rotating fluids
• Vortex Breakdown
• The critical state: a trapped wave model of vortex breakdown
• On the hydrodynamic and hydromagnetic stability of swirling flows