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|Title:||An energy analysis of convective instabilities of the Bödewadt and Ekman boundary layers over rough surfaces|
Garrett, Stephen J.
|Presented at:||The 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 16), Honolulu, HI, USA|
|Citation:||European Journal of Mechanics - B/Fluids, 61 (2), January–February 2017, pp. 310-315|
|Abstract:||An energy balance equation for the three-dimensional Bödewadt and Ekman layers of the so called “BEK family" of rotating boundary-layer flows is derived. A Chebyshev discretisation method is used to solve the equations and investigate the effect of surface roughness on the physical mechanisms of transition. All roughness types lead to a stabilization of the Type I (cross-flow) instability mode for both flows, with the exception of azimuthally-anisotropic roughness (radial grooves) within the Bödewadt layer which is destabilising. In the case of the viscous Type II instability mode, the results predict a destabilisation effect of radially-anisotropic roughness (concentric grooves) on both flows, whereas both azimuthally-anisotropic roughness and isotropic roughness have a stabilisation effect. The results presented here confirm the results of our prior linear stability analyses.|
|Rights:||Copyright © the authors, 2016. After embargo this will be an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/ ), which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.|
|Description:||The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.|
|Appears in Collections:||Conference Papers & Presentations, Dept. of Mathematics|
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|BA_AS_SJG_Isromac.pdf||Post-review (final submitted)||427.97 kB||Adobe PDF||View/Open|
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