The response of Hill's spherical vortex to a small axisymmetric disturbance

DOI10.1017/S002211207800186XzbMath0387.76033OpenAlexW2088517816MaRDI QIDQ4168254

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Publication date: 1978

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

Full work available at URL: https://doi.org/10.1017/s002211207800186x

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Hydrodynamic stability (76E99)

Related Items (24)

Filamentation near Hill’s vortex ⋮ Remarks on orbital stability of steady vortex rings ⋮ An adaptive method for computing invariant manifolds in non-autonomous, three-dimensional dynamical systems ⋮ Instability of a drop moving in a Brinkman porous medium ⋮ The nonlinear instability of Hill's vortex ⋮ Spherical vortices in rotating fluids ⋮ Solitary waves on a vorticity layer ⋮ A Lagrangian vorticity collocation method for viscous, axisymmetric flows with and without swirl ⋮ Instabilities of Ideal Fluids and Related Topics: Plenary Lecture, presented at the Annual GAMM Conference, Braunschweig 1994 ⋮ Stability of Hill's spherical vortex ⋮ The repeated filamentation of two-dimensional vorticity interfaces ⋮ Three-dimensional acoustic scattering by vortical flows. II. Axisymmetric scattering by Hill’s spherical vortex ⋮ A contour dynamics algorithm for axisymmetric flow ⋮ The pitfalls of investigating rotational flows with the Euler equations ⋮ Lagrangian analysis of fluid transport in empirical vortex ring flows ⋮ Unsteady evolutions of vortex rings ⋮ Formation of drops and rings in double-diffusive sedimentation ⋮ Vortex rings produced by non-parallel planar starting jets ⋮ Linear stability of Hill’s vortex to axisymmetric perturbations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations ⋮ Instability and filamentation of finite-amplitude waves on vortex layers of finite thickness ⋮ Inviscid drops with internal circulation ⋮ The decay of Hill's vortex in a rotating flow ⋮ The nonlinear behaviour of a constant vorticity layer at a wall

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