Abstract
An experimental investigation of instabilities and transition in the boundary layer on a rotating broad (\(120^{\circ }\) apex angle) cone through hot-wire measurements combined with local linear stability analysis (LLSA) has been undertaken. The rotating-cone flow is susceptible to both cross-flow and centrifugal instabilities. For broad cones, the cross-flow instability dominates over the centrifugal instability, and vice versa for slender cones. Although stationary vortical disturbances from the cross-flow instability are dominant on the broad cone (in this case 24–26 vortices develop), we have identified an initially slowly growing nonstationary mode with a much smaller wavenumber, which close to transition increases its growth rate dramatically. We report on a detailed process to identify the wavenumber of the measured nonstationary disturbance, as well as quantitative comparisons between experimental results and LLSA.
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Acknowledgements
This work was supported by the Swedish Research Council through the ASTRID project (VR Contract No. 2013-5786).
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Kato, K., Segalini, A., Alfredsson, P.H., Lingwood, R.J. (2022). Instabilities and Transition on a Rotating Cone–Old Problems and New Challenges. In: Sherwin, S., Schmid, P., Wu, X. (eds) IUTAM Laminar-Turbulent Transition. IUTAM Bookseries, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-67902-6_17
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DOI: https://doi.org/10.1007/978-3-030-67902-6_17
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