Vortex Breakdown and Instability.

Abstract

Solutions of the full steady axisymmetric Navier-Stokes equations for breakdown in an unconfined viscous vortex have been obtained by Grabowski and Berger. The core Reynolds numbers were varied up to 200 and a two-parameter family of velocity distributions was assumed upstream as the boundary condition. In this report, the Richardson numbers corresponding to the developing solution profiles of Grabowski and Berger are calculated and shown graphically. The inviscid linear stability of thw swirling velocity profiles as calculated by Grabowski and Berger is investigated with repsect to non-axisymmetric disturbances. This eigen-value problem is solved numerically for various wave numbers and it is shown that the developing velocity profiles lead to instability. These results are believed to be useful in analyzing instabilities for a trailing vortex from an aircraft. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA113091

Entities

People

  • Shiva N. Singh

Organizations

  • University of Kentucky

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Aircrafts
  • Axisymmetric
  • Delta Wings
  • Engineering
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mathematical Analysis
  • Mechanical Engineering
  • Navier Stokes Equations
  • Reynolds Number
  • Richardson Number
  • Scientific Research
  • Trailing Vortices
  • Vortices

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra
  • Statistical inference.