University of Illinois Urbana-Champaign

Eulerian space-time correlations in turbulent shear flows

Phillips, William R.C.

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https://hdl.handle.net/2142/112644

Description

Title
Eulerian space-time correlations in turbulent shear flows
Author(s)
Phillips, William R.C.
Issue Date
2000-04
Keyword(s)
Kovasznay-corrsin Conjecture
Abstract
This paper is concerned with the generic form of space-time correlations of instantaneous velocity fluctuations in turbulent shear flows. The study has as its basis the Kovasznay-Corrsin conjecture modified to account for inhomogeneities. Details of the modifications were dictated by comparison with DNS simulations of turbulent channel flow. For example, analysis of the simulations shows that the space-time correlations at optimal delay depict, when appropriately normalized, a form independent of turbulence component. It is also evident that the half width of the correlation grows, in the outer region of the layer, like vn+l, while the Lagrangian time scale grows like Vn, where 2 < n < 3 and V is the mean convection velocity. The resulting generic form for the spacetime correlation captures these effects well and brings to light a Reynolds number effect that is most evident in the tail of the correlations at non-optimal delay.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 934
  • 2000-6009
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112644
Sponsor(s)/Grant Number(s)
NSF
Copyright and License Information
Copyright 2000 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.