Author

R. J. Adrian

Abstract

It is shown that conditional averages in the form of expected values of functions of the velocity at an arbitrary point given the velocities at a finite number of distinct points, appear naturally in certain types of turbulence theories and that the closure problems in such theories ultimately reduce to the approximation of these averages. Two exemplary theories are considered. The first is characteristic of turbulence models formulated in terms of probability density functions whereas the second is related to the derivation of optimal algorithms for the numerical integration of the turbulent Navier-Stokes equations at large Reynolds numbers. Some mathematical properties of conditional expected values, including relations between conditional and unconditional second order tensor moments and results for the special case of isotropic turbulence are also presented.

Meeting Name

4th Biennial Symposium on Turbulence in Liquids (1975: Sep., Rolla, MO)

Department(s)

Chemical and Biochemical Engineering

Document Type

Article - Conference proceedings

Presentation Type

Contributed Paper

Session

Turbulent Burst Phenomena

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1975 University of Missouri--Rolla, All rights reserved.

Share

 
COinS