Stability of a Pair of Stationary Vortices in the Leeward Side of a Cylinder in a Potential Flowfield.

Abstract

In this report the steady state flow of an incompressible inviscid fluid past a circular cylinder is considered when a pair of asymmetrical stationary vortices are situated in the rear of the cylinder. Complex potential for this flow is obtained with the help of Milne-Thompson's circle theorem. The condition that the vortex centers have zero induced velocity determines the positions of the stationary vortices. This condition is determined for the various combination of the free stream velocity, the radius of the cylinder, and the strengths of the vortices by the secant routine on the computer. Asymmetrical disturbances are introduced and a stability analysis of the system is performed. And finally for the stable systems, the lift force acting on the cylinder is calculated and compared with the experimental results.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA131917

Entities

People

  • Shiva N. Singh

Organizations

  • University of Dayton

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Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Bodies
  • Boundary Layer
  • Cross Flow
  • Engineering
  • Flow
  • Flow Fields
  • Fluid Flow
  • Free Stream
  • Hydrodynamics
  • Mathematical Analysis
  • Measurement
  • Mechanical Engineering
  • New York
  • Slender Bodies
  • United States

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.