A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars

DOI10.1007/s10665-010-9374-zzbMath1254.76084OpenAlexW2033419199WikidataQ59855405 ScholiaQ59855405MaRDI QIDQ695418

Lawrence K. Forbes

Publication date: 21 December 2012

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-010-9374-z

zbMATH Keywords

vorticityBoussinesq approximationRayleigh-Taylor instabilityspectral methodscurvature singularitycylindrical outflowplume formation

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (17)

FULLY 3D FLUID OUTFLOW FROM A SPHERICAL SOURCE ⋮ A line vortex in a two-fluid system ⋮ RAYLEIGH–TAYLOR INSTABILITIES IN AXI-SYMMETRIC OUTFLOW FROM A POINT SOURCE ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II ⋮ A simple model of magnetic fields associated with outflow from a source; new orthogonal polynomials ⋮ Analytical model of nonlinear evolution of single-mode Rayleigh–Taylor instability in cylindrical geometry ⋮ Compressibility effects on outflows in a two-fluid system. I: Line source in cylindrical geometry ⋮ Compressibility effects on outflows in a two-fluid system. II: Point source in spherical geometry ⋮ THE FORMATION OF LARGE-AMPLITUDE FINGERS IN ATMOSPHERIC VORTICES ⋮ The unstable temporal development of axi-symmetric jets of incompressible fluid ⋮ Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system ⋮ A comparison study of the Boussinesq and the variable density models on buoyancy-driven flows ⋮ How strain and spin may make a star bi-polar ⋮ Axisymmetric outflows from binary point-source systems in the presence of an interface ⋮ AXISYMMETRIC PLUMES IN VISCOUS FLUIDS ⋮ Rayleigh–Taylor instability of cylindrical water droplet induced by laser-produced cavitation bubble ⋮ EXACT SOLUTIONS FOR INTERFACIAL OUTFLOWS WITH STRAINING

Uses Software

• Matlab

Cites Work

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• Rayleigh-Taylor and Richtmyer-Meshkov instabilities and mixing in stratified cylindrical shells
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Unsteady draining flows from a rectangular tank
• Rayleigh–Taylor instability in cylindrical geometry with compressible fluids
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I

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