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Title:Vortex formation and stability analysis for shear flows over combined spatially and temporally structured wall
Author(s):Riahi, Daniel N.
Subject(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.
Issue Date:1998-06
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 881
Genre:Technical Report
Rights Information:Copyright 1998 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    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.

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