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Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
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Related Experiment Video

Updated: May 11, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
09:58

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Published on: February 3, 2014

Mode competition in cylindrical flows driven by sidewall oscillations.

C Panades1, F Marques, A Meseguer

  • 1Departament de Física Aplicada, Universitat Politècnica de Catalunya, Barcelona 08034, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

This study numerically investigates fluid dynamics in a cylinder, revealing complex bifurcations and mode interactions. Findings illuminate slow-fast dynamics and hysteresis, aiding understanding of complex system cascades.

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Last Updated: May 11, 2026

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Bifurcation theory

Background:

  • Many fluid systems exhibit transitions from 2D to 3D flow.
  • These transitions often involve complex bifurcation cascades in narrow parameter ranges.

Purpose of the Study:

  • To numerically study secondary bifurcations and mode interactions in a specific fluid system.
  • To analyze dynamics around a codimension-2 point in a driven cylindrical cavity flow.

Main Methods:

  • Numerical simulation of fluid flow in an enclosed cylindrical cavity.
  • Focus on dynamics driven by axial sidewall oscillations.
  • Investigation of a codimension-2 point for moderate forcing frequencies.

Main Results:

  • Detailed study of secondary bifurcations and mode interactions.
  • Observation of rich dynamics including slow-fast dynamics and hysteresis.
  • Identification of a codimension-2 point as a key organizing center.

Conclusions:

  • The study provides insights into complex bifurcation cascades in fluid systems.
  • Understanding the dynamics near the codimension-2 point is crucial.
  • Results may inform the analysis of more complex fluid phenomena.