Effects of roughness on nonlinear stationary vortices in rotating disk flows |
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Authors: | DN Riahi |
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Institution: | Department of Theoretical and Applied Mechanics University of Illinois, 216 Talbot Laboratory 104 S. Wright Street, Urbana, IL 61801, U.S.A. |
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Abstract: | Primary instability of rotating disk boundary layer flow over a rough surface for stationary modes was investigated by using the weakly nonlinear theory where the Reynolds number R is close to its critical value Rc as determined by linear theory. Both the single mode case, where the wave vector K equals its critical Kc at the onset of stationary primary instability, and the bimodal case, where the wave vectors Kn (n = 1, 2) are close to Kc for the primary instability of the flow, are considered. The analysis leads to stable solutions for particular roughness forms and magnitude, and particular wave vectors ˜Kn (n = 1, 2) of the surface roughness. |
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Keywords: | Roughness Nonlinear Stationary Corrugation Vortices Rotation |
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