University of Illinois Urbana-Champaign

Self-similarity of time-evolving plane wakes

Moser, Robert D.; Rogers, Michael M.; Ewing, Daniel W.

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https://hdl.handle.net/2142/112530

Description

Title
Self-similarity of time-evolving plane wakes
Author(s)
  • Moser, Robert D.
  • Rogers, Michael M.
  • Ewing, Daniel W.
Issue Date
1996-07
Keyword(s)
Time Evolving Plane Wakes
Abstract
Direct numerical simulations of three time-developing turbulent plane wakes have been performed . Initial conditions for the simulations were obtained from two realizations of a direct simulation of a turbulent boundary layer at momentum thickness Reynolds number 670. In addition, extra two-dimensional disturbances were added in two of the cases to mimic two-dimensional forcing. The wakes are allowed to evolve long enough to attain self-similarity, although in the strongly forced case this self-similarity is only approximate and of short duration. For all three flows, the mass-flux Reynolds number (equivalent to the momentum thickness Reynolds number in spatially developing wakes) is 2000, which is high enough for a short k-5 / 3 range to be evident in the streamwise one-dimensional velocity spectrum. The spreading rate, turbulence Reynolds number, and turbulence intensities all increase with forcing (by nearly an order of magnitude for the strongly forced case), with experimental data falling between the unforced and weakly forced cases. The simulation results are used in conjunction with a complete self-similar analysis of the Reynolds stress equations to develop scalings that approximately collapse the profiles from different wakes. Factors containing the wake spreading rate are required to bring profiles from different wakes into agreement . Part of the difference between the various cases is due to the increased level of spanwise coherent (roughly two-dimensional) energy in the forced cases. Forcing also has a significant impact on flow structure, with the forced flows exhibiting more organized large-scale structures similar to those observed in transitional wakes.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 829
  • 1996-6016
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112530
Copyright and License Information
Copyright 1996 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.