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|Title: ||On the global linear stability of the boundary layer on rotating bodies|
|Authors: ||Garrett, S.J.|
|Issue Date: ||May-2007|
|Citation: ||Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference, June 25-28, 2007, Porto, Portugal; Palma, J. M. L. M.; Silva Lopes, A. (Eds.), pp. 550-552.|
|Abstract: ||By taking the local approach of working at a fixed Reynolds number (equivalently
at fixed distance from the axis of rotation) and assuming that the
steady flow is spatially uniform,  shows that the boundary layer on a rotating
disk is locally absolutely unstable at Reynolds numbers in excess of a
critical value. The value of the critical Reynolds number agrees exceedingly
well with experimentally measured values of the transition Reynolds number,
leading to a clear hypothesis that absolute instability plays a role in turbulent
transition on the disk.
In contrast to this local analysis,  solve the linearised Navier–Stokes
equations directly for the rotating disk. When they make the same homogenous
flow approximation as in , they recover those results in full. However,
when the spatial inhomogeneity of the boundary layer is included there is no
evidence of an unstable global oscillator in the long-term response.
In order to address this discrepancy between the local results and the
numerical simulations of the full inhomogeneous flow, we consider the linear
global modes of the rotating disk/cone boundary layer.|
|Series/Report no.: ||Springer Proceedings in Physics|
|Type: ||Conference paper|
|Description: ||This paper was published as Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference, June 25-28, 2007, Porto, Portugal; Palma, J. M. L. M.; Silva Lopes, A. (Eds.), pp. 550-552. It is available from http://www.springer.com/materials/mechanics/book/978-3-540-72603-6|
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|Appears in Collections:||Conference Papers & Presentations, Dept. of Mathematics|
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