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An energy analysis of convective instabilities of the Bödewadt and Ekman boundary layers over rough surfaces
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-8667-0520
2017 (English)In: European journal of mechanics. B, Fluids, ISSN 0997-7546, E-ISSN 1873-7390, Vol. 61, p. 310-315Article in journal (Refereed) Published
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 discretization 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 destabilizing. In the case of the viscous Type II instability mode, the results predict a destabilization effect of radially-anisotropic roughness (concentric grooves) on both flows, whereas both azimuthally-anisotropic roughness and isotropic roughness have a stabilization effect. The results presented here confirm the results of our prior linear stability analyses.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 61, p. 310-315
Keywords [en]
BEK family, Energy, Roughness, Anisotropy, Boundary layer flow, Discrete event simulation, Stabilization, Surface roughness, Convective instabilities, Destabilization effects, Discretization method, Ekman boundary layers, Energy balance equations, Stabilization effects, Boundary layers
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-194587DOI: 10.1016/j.euromechflu.2016.09.006ISI: 000390744800014Scopus ID: 2-s2.0-84991273900OAI: oai:DiVA.org:kth-194587DiVA, id: diva2:1044161
Note

 QC 20161102

Available from: 2016-11-02 Created: 2016-10-31 Last updated: 2019-01-30Bibliographically approved

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Segalini, Antonio

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