Collapse in conical viscous flows

DOI10.1017/S0022112090001082zbMath0706.76045MaRDI QIDQ3486995

M. A. Gol'dshtik, Vladimir N. Shtern

Publication date: 1990

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

viscous incompressible fluidhysteresis phenomenonvortex circulationSerrin problemconical vortexnear-critical regimesrigid conical wallSolution non-uniquenesssteady conically similar axisymmetrical flowsvortex half-line

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99)

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Hysteresis in a swirling jet as a model tornado ⋮ Flow and heat due to a surface formed by a vortical source ⋮ Development of the Stokes flow field associated with a line vortex perpendicular to a plane wall ⋮ On physical mechanisms in chemical reaction-driven tip-streaming ⋮ Numerical solutions of Serrin's equations by double exponential transformation ⋮ Dusty debris in tornadoes modelled by high Reynolds number two cells vortices ⋮ Exact analytical solutions for steady three-dimensional inviscid vortical flows ⋮ APPEARANCE OF A SOURCE/SINK LINE INTO A SWIRLING VORTEX ⋮ Vortex sinks with axial flow: Solution and applications ⋮ Hysteresis in swirling jets ⋮ A new mathematical model applied to tornado genesis

Cites Work

• Conical vortices: A class of exact solutions of the Navier–Stokes equations
• Flow induced by jets and plumes
• On fluid motions induced by an electric current source

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