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An energy analysis of convective instabilities of the Bödewadt and Ekman boundary layers over rough surfaces

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conference contribution
posted on 17.05.2016, 08:48 by B. Alveroglu, A. Segalini, Stephen J. Garrett
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.

History

Citation

European Journal of Mechanics - B/Fluids, 61 (2), January–February 2017, pp. 310-315

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Source

The 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 16), Honolulu, HI, USA

Version

AM (Accepted Manuscript)

Published in

European Journal of Mechanics - B/Fluids

Copyright date

2016

Available date

03/10/2017

Publisher version

http://isromac-isimet.univ-lille1.fr/index.php?rubrique=home http://www.sciencedirect.com/science/article/pii/S0997754616303776

Notes

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.

Temporal coverage: start date

10/04/2016

Temporal coverage: end date

15/04/2016

Language

en

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