Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones

Z. Hussain*, S. J. Garrett, S. O. Stephen

*Corresponding author for this work

Research output: Chapter in Book/Published conference outputConference publication


We describe progress in classifying the convective instability characteristics of the boundary-layer flow over the family of rotating cones. Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates over slender cones and manifests as Görtler-type spiral vortices. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is introduced and an asymptotic analysis summarized which identifies such a centrifugal mode.

Original languageEnglish
Title of host publication40th AIAA Fluid Dynamics Conference
Publication statusPublished - 2010
Event40th AIAA Fluid Dynamics Conference - Chicago, IL, United States
Duration: 28 Jun 20101 Jul 2010

Publication series

Name40th AIAA Fluid Dynamics Conference


Conference40th AIAA Fluid Dynamics Conference
Country/TerritoryUnited States
CityChicago, IL


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