Mean flow generation due to longitudinal librations of sidewalls of a rotating annulusстатья
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Дата последнего поиска статьи во внешних источниках: 23 декабря 2020 г.
Аннотация:Laboratory experiments with a rotating cylindrical annulus are
reported that reveal a prograde jet, which is adjacent to a (longitudinally)
librating inner straight cylindrical wall. Here, wall libration is
realised as a time-harmonic modulation of the inner cylinder’s rotation
rate. The outer cylindrical wall and bottom and top lids rotate
with constant angular velocity. The main purpose of our study is to
contribute to a qualitative and quantitative understanding of nonlinearities
that are present in oscillating, but centrifugally stable,
vertical boundary layers frequently encountered in rotating wallbounded
flows. We consider a problem that is in a sense complementary
to that of previous works that focused on oscillating Ekman
layers but neglected the vertical Stokes−Stewartson layers. A simple
analytical model is proposed that is able to predict the magnitude
and spatial structure of the emerging prograde near-wall jet in
terms of nonlinearity inherent in the inner cylinder’s boundary layer
dynamics.