University of Illinois Urbana-Champaign

Vortex formation and stability analysis for shear flows over combined spatially and temporally structured wall

Riahi, Daniel N.

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https://hdl.handle.net/2142/112587

Description

Title
Vortex formation and stability analysis for shear flows over combined spatially and temporally structured wall
Author(s)
Riahi, Daniel N.
Issue Date
1998-06
Keyword(s)
  • Shear Flows
  • Vortex Formatiom
  • Spatially Structured Walls
  • Temporally Structured Walls
Abstract
Benney's theory of evolution of disturbances in shear flows over a smooth and flat boundary is extended for shear flows over combined spatially and temporally corrugated walls. Perturbation and multiple-scale analyses are employed for the case where both the amplitude of the corrugations and the amplitude of the wave motion are small. Analyses for instability of modulated mean shear flows with respect to spanwise-periodic disturbance rolls and for the subsequent vortex formation and vortex stability are presented, and the effects of the corugated walls on the resulting flow and vorticos are determined. It is found that particular corrugated walls can originate and control the longitudinal vortices, while some other types of corrugated walls can enhance instability of such vortices.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 881
  • 1998-6007
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112587
Copyright and License Information
Copyright 1998 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.