On the role of vortex stretching in energy optimal growth of three-dimensional perturbations on plane parallel shear flows

DOI10.1017/JFM.2012.285zbMath1275.76057arXiv1202.6149OpenAlexW3101072666MaRDI QIDQ2863281

Eyal Heifetz, N. Harnik, H. Vitoshkin, Alexander Yu. Gelfgat

Publication date: 21 November 2013

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

Full work available at URL: https://arxiv.org/abs/1202.6149

zbMATH Keywords

shear wavesvortex instabilitylow-dimensional model

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99) Viscous vortex flows (76D17)

Related Items (2)

Transient perturbation growth in time-dependent mixing layers ⋮ Extended Squire’s transformation and its consequences for transient growth in a confined shear flow

Cites Work

• Stability and transition in shear flows
• Nonlinear transient growth in a vortex column
• Energy growth in viscous channel flows
• Mechanisms underlying transient growth of planar perturbations in unbounded compressible shear flow
• Relating optimal growth to counterpropagating Rossby waves in shear instability
• Transient and asymptotic growth of two-dimensional perturbations in viscous compressible shear flow
• A note on an algebraic instability of inviscid parallel shear flows
• Stability of linear flow
• Optimal excitation of three-dimensional perturbations in viscous constant shear flow
• Spatial versus temporal instabilities in a parametrically forced stratified mixing layer
• Transient growth of perturbations in a vortex column

This page was built for publication: On the role of vortex stretching in energy optimal growth of three-dimensional perturbations on plane parallel shear flows