Viscous flows and instabilities near rotating bodies

作者: Manfred Wimmer

DOI: 10.1016/0376-0421(88)90012-7

关键词: Classical mechanicsReynolds numberRotating spheresBoundary value problemMathematicsHele-Shaw flowFlow (mathematics)VortexTurbulenceTaylor–Couette flowMechanics

摘要: Abstract This study is a survey of experiments on the flow near rotating bodies. The bodies discussed are revolution, such as spheres, disks, cylinders and cones. instabilities around, between within these combinations them investigated. Special emphasis placed first onset further development instabilities. Depending geometry boundary condition spiral vortices, Gortler-type vortices counter-rotating Taylor obtained in unstable regime. Their behaviour appearance for different initial conditions analysed detail to transition turbulence described. non-uniqueness supercritical Reynolds number regime results vortex configurations depending flow's history. may occur steady unsteady form or combination both types. experimental compared with available theoretical results. These mostly numerically because difficulties closed solutions governing equations. Some geometries show similar patterns. It is, therefore, main purpose this contribution draw attention their common properties well differences.

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