The Dimension of Attractors Underlying Turbulent Poiseuille Flow

Abstract

It is shown that fully developed channel flow is confined to a strange attractor. However, the dimension of the attractor is much larger than dimensions encountered in closed flows such as Benard Convection and Taylor- Couette flow. In addition, we have examined the relationship between turbulent structures and attractor geometry. In the end, what is sought from any theory of turbulence is a universal framework that allows known phenomena to be understood, calculated, and related, and a predictive capability for unknown flows or control measures. Crucial to the erection of such a structure is a knowledge of the fundamental mathematical character of turbulence. The purpose of this research has been to investigate this character to determine if chaos theory and the strange attractor can provide the foundation for such a global theory.

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Document Details

Document Type
Technical Report
Publication Date
Feb 13, 1989
Accession Number
ADA206021

Entities

People

  • Laurence Keefe
  • Parviz Moin

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Channel Flow
  • Computational Fluid Dynamics
  • Couette Flow
  • Detection
  • Equations
  • Flow
  • Flow Fields
  • Flow Visualization
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Mathematical Models
  • Poiseuille Flow
  • Reynolds Number
  • Turbulent Flow
  • Turbulent Mixing

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.