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An energy analysis of convective instabilities of the Bödewadt and Ekman boundary layers over rough surfaces
Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom.
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-8667-0520
Department of Engineering, University of Leicester, Leicester, LE1 7RH, United Kingdom.
2019 (English)In: Open Archives of the 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016, International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016 , 2019Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016 , 2019.
Keywords [en]
BEK family, Energy, Roughness, Anisotropy, Boundary layer flow, Boundary layers, Rotating machinery, Stabilization, Transport properties, Convective instabilities, Discretisation method, Ekman boundary layers, Energy balance equations, Physical mechanism, Radially anisotropic, Surface roughness
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-262390Scopus ID: 2-s2.0-85069863343OAI: oai:DiVA.org:kth-262390DiVA, id: diva2:1366054
Conference
16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016, Honolulu, United States, 10-15 April 2016
Note

QC 20191028

Available from: 2019-10-28 Created: 2019-10-28 Last updated: 2019-10-28Bibliographically approved

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Segalini, Antonio

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CiteExportLink to record
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  • apa
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