We summarise results of a theoretical study investigating the distinct convective instability properties of steady boundary-layer flow over rough rotating disks. A generic roughness pattern of concentric circles with sinusoidal surface undulations in the radial direction is considered. The goal is to compare predictions obtained by means of two alternative, and fundamentally different, modelling approaches for surface roughness for the first time. The motivating rationale is to identify commonalities and isolate results that might potentially represent artefacts associated with the particular methodologies underlying one of the two modelling approaches. The most significant result of practical relevance obtained is that both approaches predict overall stabilising effects on type I instability mode of rotating disk flow. This mode leads to transition of the rotating-disk boundary layer and, more generally, the transition of boundary-layers with a cross-flow profile. Stabilisation of the type 1 mode means that it may be possible to exploit surface roughness for laminar-flow control in boundary layers with a cross-flow component. However, we also find differences between the two sets of model predictions, some subtle and some substantial. These will represent criteria for establishing which of the two alternative approaches is more suitable to correctly describe experimental data when these become available.
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January 2016
Research Article|
January 13 2016
On the stability of von Kármán rotating-disk boundary layers with radial anisotropic surface roughness
S. J. Garrett
;
S. J. Garrett
a)
1Department of Engineering,
University of Leicester
, Leicester LE1 7RH, United Kingdom
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A. J. Cooper;
A. J. Cooper
2School of Engineering,
University of Warwick
, Coventry CV4 7AL, United Kingdom
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J. H. Harris;
J. H. Harris
2School of Engineering,
University of Warwick
, Coventry CV4 7AL, United Kingdom
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M. Özkan
;
M. Özkan
2School of Engineering,
University of Warwick
, Coventry CV4 7AL, United Kingdom
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A. Segalini
;
A. Segalini
3
Linné FLOW Centre
, KTH Mechanics, SE-100 44 Stockholm, Sweden
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P. J. Thomas
P. J. Thomas
2School of Engineering,
University of Warwick
, Coventry CV4 7AL, United Kingdom
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Physics of Fluids 28, 014104 (2016)
Article history
Received:
August 03 2015
Accepted:
December 21 2015
Citation
S. J. Garrett, A. J. Cooper, J. H. Harris, M. Özkan, A. Segalini, P. J. Thomas; On the stability of von Kármán rotating-disk boundary layers with radial anisotropic surface roughness. Physics of Fluids 1 January 2016; 28 (1): 014104. https://doi.org/10.1063/1.4939793
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