The Inviscid Initial Value Problem for a Piecewise Linear Mean Flow

DOI10.1002/sapm198878131zbMath0642.76023OpenAlexW2552994354MaRDI QIDQ3783686

Dan S. Henningson

Publication date: 1988

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198878131

zbMATH Keywords

Fourier transform methodsvortex pairsparabolic profilehorizontal momentumthree-dimensional lift-up effectinviscid parabolic flowpiecewise linear mean flowtime evolution of a small disturbance

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Incompressible inviscid fluids (76B99) Basic methods in fluid mechanics (76M99)

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Transient growth in two- and three-dimensional boundary layers, The evolution of a localized vortex disturbance in external shear flows. Part 1. Theoretical considerations and preliminary experimental results, Some indications from instability results about the effectiveness of wall heating as a control option for channel flow, A mechanism for bypass transition from localized disturbances in wall-bounded shear flows, Wave growth and spreading of a turbulent spot in plane Poiseuille flow, Energy growth in viscous channel flows, Turbulent spots in channel flows

Cites Work

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• Wave patterns in plane Poiseuille flow created by concentrated disturbances
• The three-dimensional nature of boundary-layer instability
• Stability of Inviscid Plane Couette Flow
• On the Stability of Two-Dimensional Parallel Flows