Instability of Hagen-Poiseuille flow for axisymmetric mode
type: Item
instance of: scholarly article
title: Instability of Hagen-Poiseuille flow for axisymmetric mode
zbMATH Open document ID: 0662.76058
DOI: 10.1007/BF02482689
author: J. T. Stuart
author: Famin Wang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: An investigation is described for the instability problem of flow through a pipe of circular cross section. As a disturbance motion, we consider an axisymmetric nonlinear mode. An associated amplitude or modulation equation has been derived for this perturbation. This equation belongs to the diffusion type. The coefficient of it can be negative with Reynolds number increasing, because of the complex interaction between molecular diffusion and convection. The negative diffusion, when it occurs, causes a concentration and focusing of energy within the decaying slug, acting as a role of reversing natural decays.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 4083211
zbMATH Keywords: pipe of circular cross section
zbMATH Keywords: axisymmetric nonlinear mode
zbMATH Keywords: amplitude or modulation equation
zbMATH Keywords: molecular diffusion and convection
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4083211