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Instability and sensitivity of the flow around a rotating circular cylinder

Published online by Cambridge University Press:  22 March 2010

JAN O. PRALITS ,
LUCA BRANDT  and
FLAVIO GIANNETTI
JAN O. PRALITS
Affiliation:
DIMEC, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy
LUCA BRANDT*
Affiliation:
Linné Flow Centre, KTH Mechanics, S-100 44 Stockholm, Sweden
FLAVIO GIANNETTI
Affiliation:
DIMEC, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy
*
†Email address for correspondence: luca@mech.kth.se
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Abstract

The two-dimensional flow around a rotating circular cylinder is studied at Re = 100. The instability mechanisms for the first and second shedding modes are analysed. The region in the flow with a role of ‘wavemaker’ in the excitation of the global instability is identified by considering the structural sensitivity of the unstable mode. This approach is compared with the analysis of the perturbation kinetic energy production, a classic approach in linear stability analysis. Multiple steady-state solutions are found at high rotation rates, explaining the quenching of the second shedding mode. Turning points in phase space are associated with the movement of the flow stagnation point. In addition, a method to examine which structural variation of the base flow has the largest impact on the instability features is proposed. This has relevant implications for the passive control of instabilities. Finally, numerical simulations of the flow are performed to verify that the structural sensitivity analysis is able to provide correct indications on where to position passive control devices, e.g. small obstacles, in order to suppress the shedding modes.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 650 , 10 May 2010 , pp. 513 - 536
Copyright
Copyright © Cambridge University Press 2010

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References

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