Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. I. Hyperbolic flow

DOI10.1063/1.2337319zbMath1185.76524OpenAlexW2075802527MaRDI QIDQ5756111

I. G. Shukhman

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.2337319

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Viscous vortex flows (76D17)

Related Items (3)

An analytical-based method for studying the nonlinear evolution of localized vortices in planar homogeneous shear flows ⋮ Coherent structures in bypass transition induced by a cylinder wake ⋮ Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. II. Elliptic flow

Cites Work

• Temporal evolution of a localized weak vortex in viscous circular shear flows
• The stability of two-dimensional linear flows
• Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equations
• The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions
• The stability of three-dimensional time-periodic flows with spatially uniform strain rates
• Optimal excitation of three-dimensional perturbations in viscous constant shear flow
• Elementary stratified flows with instability at large Richardson number
• The evolution of a localized vortex disturbance in external shear flows. Part 2. Comparison with experiments in rotating shear flows
• Vortex Perturbation Dynamics
• The evolution of a localized vortex disturbance in external shear flows. Part 1. Theoretical considerations and preliminary experimental results
• The evolution of a finite-amplitude localized disturbance in an irrotational unbounded plane stagnation flow

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