THE CIRCLE AT LOW REYNOLDS NUMBER AS A TEST OF THE METHOD OF SERIES TRUNCATION,

Abstract

A semi-analytical scheme of successive approximations is described for treating elliptic differential equations. As an extreme test of the method, it is applied to incompressible viscous flow past a circular cylinder. For the Oseen equations the first approximation is found analytically and the second numerically. The results for drag and eddy formation appear to approach the true solution satisfactorily. For the Navier-Stokes equations only the first approximation was calculated, giving drag that agrees only qualitatively with experiment. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0612411

Entities

People

  • Milton Van Dyke

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Real Variables
  • Reynolds Number
  • Truncation
  • Viscous Flow

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.