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Title:Nonlinear instabilities of shear flows over rough walls
Author(s):Riahi, Daniel N.
Subject(s):Shear Flows
Rough Walls
Nonlinear Instabilities
Abstract:A spectral theory applied to the downstream evolution of nonlinearly interacting waves in a weakly nonparallel shear flow over a rough wall predicts dominant contributions to the nonlinear terms by certain subharmonic components at frequencies and spanwise wave numbers of the flow and at span wise wave numbers of the rough surface shape. The phase function of the waves takes the form of the phase function for the surface roughness shape under significant roughness effects. The theory also determines wave amplitudes, which can depend on the amplitude of the surface roughness. The results depend in a non-trivial way on the relative order of magnitudes of the roughness and wave amplitudes, both of which are assumed to be small.
Issue Date:1996-06
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 827
Genre:Technical Report
Rights Information:Copyright 1996 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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