On the Effects of Viscosity on the Stability of a Trailing-Line Vortex

Abstract

The linear stability of the Batchelor (1960) vortex is investigated. Particular emphasis is placed on modes found recently in a numerical study by Khorrami (1991). These modes have a number of features very distinct from those found previously for this vortex, including (i) exhibiting small growth rates at large Reynolds numbers and (ii) susceptibility to destabilisation by viscosity. In this paper these modes are described using asymptotic techniques, producing results which compare favourably with fully numerical results at large Reynolds numbers.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA233057

Entities

People

  • Mehdi R. Khorrami
  • Peter W. Duck

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautics
  • Boundary Layer
  • Chebyshev Polynomials
  • Computations
  • Computers
  • Contracts
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Equations
  • Equations Of Motion
  • Fluid Mechanics
  • Layers
  • Numerical Analysis
  • Reynolds Number
  • Viscosity

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Mechanics and Fluid Dynamics.