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THE NONLINEAR STABILITY OF FLOWS OVER COMPLIANT WALLS
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UNSPECIFIED (1992) THE NONLINEAR STABILITY OF FLOWS OVER COMPLIANT WALLS. JOURNAL OF FLUID MECHANICS, 239 . pp. 657-670. ISSN 0022-1120.
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Abstract
The weakly nonlinear, high-Reynolds-number triple-deck theory of Smith (1979) is applied to Blasius flow over a compliant wall. Attention is concentrated on Tollmien-Schlichting (TS) disturbance waves. We consider wall models of the Carpenter-Garrad type, modified to cater for three-dimensional disturbances, and allowing for the effects of nonlinear wall curvature. Supercritical equilibrium-amplitude states are possible for TS waves in a rigid-wall boundary layer, as is well known (see for example Smith 1979; Hall & Smith 1984). It is found that judicious choice of wall parameters can dramatically alter the nonlinear stability properties of TS waves in the boundary layer over a compliant wall: waves that are linearly damped may become nonlinearly unstable. Excellent agreement is obtained with rigid-wall results of Hall & Smith (1984).
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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Journal or Publication Title: | JOURNAL OF FLUID MECHANICS | ||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||
ISSN: | 0022-1120 | ||||
Official Date: | June 1992 | ||||
Dates: |
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Volume: | 239 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 657-670 | ||||
Publication Status: | Published |
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