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Crossflow instability of finite Bdewadt flows: Transients and spiral waves Juan M. Lopez,1,a

Summary: Crossflow instability of finite Bödewadt flows: Transients and spiral waves
Juan M. Lopez,1,a
Francisco Marques,2
Antonio M. Rubio,1
and Marc Avila3
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287, USA
Departament de Física Aplicada, Universitat Politčcnica de Catalunya, 08034 Barcelona, Spain
Max Planck Institute for Dynamics and Self-Organization, 37073 Göttingen, Germany
Received 6 August 2009; accepted 14 October 2009; published online 25 November 2009
The flow in an enclosed rotating cylinder with a stationary lower end wall is investigated
numerically. For fast rotation rates, the flow in the interior is primarily in the azimuthal direction,
with an angular momentum distribution very close to that corresponding to solid-body rotation for
about the inner-half radius. The differential rotation sets up a large-scale circulation that is primarily
present in the boundary layers on the rotating top and sidewalls and the stationary bottom wall, with
a very weak effusive component throughout the bulk interior providing a matching between the
boundary layer flows on the top and bottom. The top end wall boundary layer has a profile that very
closely matches the von Kármán solution for a rotating disk boundary layer; it is stable and very


Source: Avila, Marc - Complex Dynamics and Turbulence Group, Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen


Collections: Physics