Viscous starting jets

DOI10.1017/S002211208600112XzbMath0623.76028MaRDI QIDQ3761916

Brian J. Cantwell

Publication date: 1986

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

zbMATH Keywords

boundary conditionsexact solutionsStokes equationsinvariance propertiestransient motionsimilarity variablesramp functionvortex roll-upintegrals of the motioncreation of a starting vortexinitial state of restplanar unsteady jetsquasi- autonomous systemunsteady particle paths

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32) Wakes and jets (76D25) Basic methods in fluid mechanics (76M99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (23)

The starting vortex in quiescent air induced by dielectric-barrier-discharge plasma ⋮ Dipolar eddies in a decaying stratified turbulent flow ⋮ Transition processes for junction vortex flow ⋮ Two-dimensional flows with zero net momentum: evolution of vortex quadrupoles and oscillating-grid turbulence ⋮ Stability of momentumless wakes ⋮ Dynamics and decay of a spherical region of turbulence in free space ⋮ On the frontal collision of two round jets in water ⋮ Wakes behind towed and self-propelled bodies: Asymptotic theory ⋮ Starting vortex dipoles in a viscous fluid: Asymptotic theory, numerical simulations, and laboratory experiments ⋮ Vortex dynamics in starting square water jets ⋮ Flight in a viscous fluid: Asymptotic theory of the vortex wake ⋮ Modelling circulation, impulse and kinetic energy of starting jets with non-zero radial velocity ⋮ Formation of vortex dipoles ⋮ Dipole formation in the transient planar wall jet ⋮ Starting and steady quadrupolar flow ⋮ Hierarchical order in wall-bounded shear turbulence ⋮ Formation, evolution and scaling of plasma synthetic jets ⋮ Vortex drift. I: Dynamic interpretation ⋮ Vortex drift. II: The flow potential surrounding a drifting vortical region ⋮ Hydrodynamic impulse enhancement of a vortex ring interacting with an axisymmetric co-axial aperture ⋮ On the asymptotic theory of momentum/zero-momentum wakes ⋮ On the dynamics in a transitional boundary layer. ⋮ On the formation of streamwise vortices by plasma vortex generators

Cites Work

• The instantaneous velocity fields of coherent structures in coflowing jets and wakes
• Transition in the axisymmetric jet
• The flow into an expanding spherical vortex
• The Round Laminar Jet

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