Nonlinear growth (and breakdown) of disturbances in developing Hagen Poiseuille flow

DOI10.1063/1.2201667zbMath1155.76334OpenAlexW2021322817MaRDI QIDQ5756049

Peter W. Duck

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.2201667

zbMATH Keywords

Poiseuille flow, pipe flow, Navier-Stokes equations, parabolic equations, boundary layers, eigenvalues and eigenfunctions, flow instability

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Parallel shear flows in hydrodynamic stability (76E05) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (2)

On the downstream development and breakup of systems of trailing-line vortices ⋮ Growth of vortical disturbances entrained in the entrance region of a circular pipe

Cites Work

• On the breakdown of boundary layer streaks
• Optimal disturbances and bypass transition in boundary layers
• On a class of unsteady boundary layers of finite extent
• Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations
• Transient growth in developing plane and Hagen Poiseuille flow

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