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Title:Boundary wave-vortex interaction in channel flow at high reynolds numbers
Author(s):Riahi, Daniel N.
Subject(s):Channel Flow
High Reynolds Number
Channel Flow
Abstract:Asymptotic and scaling analyses at high Reynolds numbers are used to investigate channel flow over a wavy wall. Flow is divided into an inviscid core away from the boundaries and two viscous wall layers adjacent to the boundaries. The spanwise dependent amplitudes of the TS and boundary waves contribute to a source term in the system for the longitudinal vortices. The presence of this source term requires streamwise variation of either the TS wave or the boundary wave. For the case where the initial TS wave does not exit, the boundary wave, due to the wavy wall, controls the existence, scales, variations and shape of the longitudinal vortices. For the case where the initial TS wave is present, the wavy wall affects the TS wave and the vortex motion through the boundary wave. The TS wave is subjected to secondary three-dimensional instability for favorable boundary waves due to particular forms of the wavy wall, while the secondary instability can be suppressed by special boundary waves due to some other particular wavy walls.
Issue Date:1997-11
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 871
Genre:Technical Report
Rights Information:Copyright 1997 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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