Large-scale structure of the core of a spiral discontinuity in a fluid

DOI10.1007/BF01090148zbMath0519.76021OpenAlexW2010849574MaRDI QIDQ1054554

A. M. Gaifullin, S. K. Betyaev

Publication date: 1982

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01090148

zbMATH Keywords

Euler equationsthree-dimensionalvortex formationsingular linecoordinate expansioninfinite number of spiral coilsmethod of solutionopen vortex sheetsscales larger than characteristic scalesmall-scale structure of corespiral discontinuitytransforming singular point into finite intervalviscous region

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Free convection (76R10)

Related Items

Plane vortex flows of an incompressible fluid ⋮ Self-similar ``diffusion of momentum in an ideal fluid

Cites Work

• A double-scale investigation of the asymptotic structure of rolled-up vortex sheets
• Aufwicklung einer unstabilen Unstetigkeitsfläche
• The flow field near the centre of a rolled-up vortex sheet
• Family of Similarity Flows with Vortex Sheets
• Vortex Breakdown

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