The Flow about a Circular Cylinder at Low Reynolds Numbers Using the Method of Series Truncation with a Novel Coordinate System.

Abstract

Arguments are presented suggesting that choosing as one of the coordinates, the parabolas along which vorticity decay algebraically far from any finite, two-dimensional body, one may anticipate better results in applying the method of series truncation to flow about such a body. As a test, the steady, incompressible, low Reynolds flow about a circular cylinder is analyzed starting with the Navier-Stokes equations. The results obtained for the first truncation are closer to the exact Oseen solution than first and second truncations obtained using the more usual polar coordinates. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0726447

Entities

People

  • P. Raghuraman
  • S. A. Berger
  • Y-k Cheung

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Coordinate Systems
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Navier Stokes Equations
  • Parabolas
  • Reynolds Number
  • Truncation
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.