This paper was published as Proceedings of the 40th Fluid Dynamics Conference and Exhibit, 28 June - 1 July 2010, Chicago, Illinois, Paper AIAA-2010-4285. It is also available from http://www.aiaa.org/content.cfm?pageid=2. This paper appears here with the permission of the American Institute of Aeronautics and Astronautics, Inc.We describe progress in classifying the convective instability characteristics of the boundarylayer\ud flow over the family of rotating cones. Existing experimental and theoretical studies\ud are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates\ud over slender cones and manifests as Görtler-type spiral vortices. Although a formulation\ud consistent with the classic rotating-disk problem has been successful in predicting the\ud stability characteristics over broad cones, it is unable to identify such a centrifugal mode\ud as the half-angle is reduced. An alternative formulation is introduced and an asymptotic\ud analysis summarized which identifies such a centrifugal mode
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