Instability of Hagen-Poiseuille flow for non-axisymmetric mode

DOI10.1007/BF02019230zbMath0731.76031OpenAlexW4246456656MaRDI QIDQ808900

Famin Wang, J. T. Stuart

Publication date: 1989

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019230

zbMATH Keywords

diffusionmodulation equationgeneral non-axisymmetric modeinstability problemnegative diffusivity

Mathematics Subject Classification ID

Diffusion (76R50) Hydro- and aero-acoustics (76Q05) Hydrodynamic stability (76E99)

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Cites Work

• Amplitude-dependent neutral modes in the Hagen-Poiseuille flow through a circular pipe
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 1. An asymptotic theory valid for small amplitude disturbances
• On Itoh's finite amplitude stability theory for pipe flow
• Finite-amplitude stability of pipe flow

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