Pattern Selection, Wave Formation, Turbulence and Vortex Breakdown in Spiral Flows

Abstract

The major effort has been devoted to a study of time-dependent transition solutions connecting steady state solutions of the Navier-Stokes equations and to the development of a theory of periodic waves and turbulence in rotating viscous fluids. The results obtained include an analytic description of the difference between primary and secondary flows of a viscous fluid, the existence of a continuum of periodic waves in rotating plane Couette flow, and an analytic description of a mechanism to generate the turbulent-like flows observed in experiments on rotating spiral flows. Papers: Waves in rotating plane Couette flow; Bifurcation and stability problems in rotating plane Couette-Poiseuille flow; Transition solutions in the Taylor problem; Periodic waves in rotating plane Couette flow; Transition solutions in Rayleigh Benard convection; Turbulence in spiral Couette flow.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA225068

Entities

People

  • Duane P. Sather

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Couette Flow
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Flow
  • Mathematics
  • Navier Stokes Equations
  • Number Theory
  • Partial Differential Equations
  • Poiseuille Flow
  • Secondary Flow
  • Steady State
  • Three Dimensional
  • Three Dimensional Flow
  • Transitions

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.