NUMERICAL STUDY OF THE NAVIER-STOKES EQUATIONS FOR THE PRODUCTION OF SMALL EDDIES FROM LARGE ONES,

Abstract

To investigate the process of grinding down of large eddies into smaller ones at high Reynolds Numbers, a finite difference method is used to obtain the periodic solutions of the Navier-Stokes Equations numerically when the initial motion is assumed to be v sub 1 = cos x sin y sin z; v sub 2 = - sin x cos y sin z; v sub 3 = 0. Mean square kinetic energy and mean square vorticity are calculated and it is found that the numerical method provides estimates of these quantities up to t = 1.90 at R = 200 and up to t = 1.70 at R = 1000. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0607807

Entities

People

  • P. C. Jain

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Differential Equations
  • Energy
  • Equations
  • Equations Of Motion
  • Kinetic Energy
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Production
  • Reynolds Number

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.