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The effects of surface mass flux on the instability of the BEK system of rotating boundary-layer flows
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.
2011 (English)In: European journal of mechanics. B, Fluids, ISSN 0997-7546, E-ISSN 1873-7390, Vol. 30, no 3, 299-310 p.Article in journal (Refereed) Published
Abstract [en]

We consider the effect of mass flux through the lower boundary of the general class of rotating BEK boundary-layer flows. This class includes the Bodewadt, Ekman and von Karman flows as particular cases. A theoretical study is presented which considers the onset of convective instability modes (both stationary and travelling relative to the rotating system) and local absolute instability. Suction is found to be universally stabilising in terms of both the delayed onset and reduced amplification rates of both instability types. Furthermore, the radial span of convective instability preceding the onset of local absolute instability is extended with increased suction. Slowly travelling modes are predicted to be more dangerous than stationary modes within the convectively unstable region of each flow. Such modes are expected to be selected over highly polished lower disks. Extensive theoretical data is presented for future comparison to experiment.

Place, publisher, year, edition, pages
2011. Vol. 30, no 3, 299-310 p.
Keyword [en]
Boundary layer, BEK system, Convective instability, Absolute instability
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-34672DOI: 10.1016/j.euromechflu.2011.02.003ISI: 000291071200006ScopusID: 2-s2.0-79953716504OAI: diva2:422667
QC 20110613Available from: 2011-06-13 Created: 2011-06-13 Last updated: 2011-06-13Bibliographically approved

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