Early-Time Behavior of the Ekman Layers in Spin-Up of a Rapidly-Rotating Gas

概要

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A numerical study is made of the early-stage behavior of spin-up flows of a highlycompressible fluid in a rapidly-rotating cylinder. The focus is placed on describing thetemporally small-scale motions within and near the Ekman layers. Numerical solulions are acquired to the full, time-dependent, compressible Navier-Stokes equations.The numerical results are processed to render physically meaningful interpretationsof the small-time behavior in and around the Ekman layer. Vector plots on the meridional plane are constructed to illustrate the prominence of the compressible Rayleigheffect in the nonlinear regime. The emergence of the corner jet is portrayed. Extensivediagnostic studies are performed to disclose the dominant dynamic effects. Timehistories of the major physical variables are plotted. The time needed for the formalion of the Ekman layer is seen to shorten in the nonlinear regime, The oscillatorybehavior is clearly depicted, and it is demonstrated that, as the nonlinearitystrengthens, the oscillatory frequency increases and the more irregular oscillation patferns emerge.
社団法人日本物理学会の論文
1990-10-15