Accession Number:

AD0671835

Title:

A KINETIC (NON-LINEAR) THEORY OF TURBULENCE IN INCOMPRESSIBLE FLUIDS

Descriptive Note:

Research rept.

Corporate Author:

POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s):

Report Date:

1968-03-01

Pagination or Media Count:

35.0

Abstract:

In principle, a turbulence field is to be governed by the Navier- Stokes equations. In order to avoid the difficulty of treatment due to the non- linear characteristics of the Navier-Stokes equations, one begins with the assumption that a turbulence field may be represented by a proper distribution of many elementary vortex lines, each of which, being a particular solution of the Navier-Stokes equations, exhibits full characteristics of the non-linear equations. Based on this assumption, an equation is introduced which governs the distribution of those elementary vortex lines, in the same way as the Liouville equation governs the distribution of particles. With respect to a two-dimensional field, it is shown that Taylors parabolic correlation mode for short distances and Kolmogoroffs 23-power correlation mode for moderate distances are unified to one correlation mode which is valid for the entire range of correlation distances. With respect to three-dimensional cases, introducing remarks are given. Author

Subject Categories:

  • Aerodynamics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE