Abstract
We present recent results concerning the linearized inviscid stability and propagation characteristics of disturbances to the boundary-layer flow due to an in- finite rotating disk in otherwise still fluid. Such disturbances are expected to decay exponentially outside the boundary layer, but we have found a situation where exponential growth can occur in the wall-normal direction. It is shown, by considering the solution to the initial-value problem, that this behaviour can be predicted by using modes with exponentially divergent eigenfunctions.
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Healey, J. (2006). A STRANGE INSTABILITY WITH GROWTH NORMAL TO A BOUNDARY LAYER. In: Govindarajan, R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4159-4_12
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DOI: https://doi.org/10.1007/1-4020-4159-4_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3459-6
Online ISBN: 978-1-4020-4159-4
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