Accession Number:

AD0607807

Title:

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

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Jain,P. C.

Report Date:

1964-07-01

Pagination or Media Count:

44.0

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

Descriptors:

• (*PARTIAL DIFFERENTIAL EQUATIONS
• MOTION)
• (*TURBULENCE
• PARTIAL DIFFERENTIAL EQUATIONS)
• VORTICES
• REYNOLDS NUMBER
• NUMERICAL ANALYSIS
• NUMERICAL METHODS AND PROCEDURES
• FLUID FLOW
• MATHEMATICAL MODELS
• DIFFERENCE EQUATIONS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE