Some dynamical properties of a differential model for the bursting cycle in the near-wall turbulence

A. Porporato, L. Ridolfi

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

In the last years several investigations have been devoted to model the bursting cycle in the near-wall turbulence by means of low-dimensional systems, with the aim of having simple mathematical models for the dynamics of coherent structures. The present paper deals with a low-dimension differential model, recently proposed by the authors. It is directly deduced from the velocity time series measured in a turbulent flow and well mimics the velocity oscillations typical of the bursting events. After studying the linear stability of the model, its behavior when an external forcing is added, both deterministic and stochastic, is analyzed. It is found that the essential characteristic of the dynamics described by the model is a Hopf bifurcation that, when excited by a stochastic forcing, produces time series with fluctuations that have similarities with the real turbulence signals.

Original languageEnglish (US)
Pages (from-to)4278-4283
Number of pages6
JournalPhysics of Fluids
Volume14
Issue number12
DOIs
StatePublished - Dec 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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