Spin-up in a semicircular cylinder

نویسندگان

چکیده

We report experimental and theoretical results on how a fluid (homogeneous or continuously stratified) is spun up in closed, semicircular cylinder. Experiments were performed for Rossby numbers $Ro=0.02$ , 0.2 1 (the latter corresponding to the limiting case of spin-up from rest), with Ekman number $E=O({10^{-5}})$ Burger ( $S$ ) varied between 0 10. There are two key processes: pumping that drives core flow; formation breakdown vertical-wall boundary layers, respective characteristic time scales $t\sim E^{-1/2}$ $Ro^{-1}$ . When these comparable, observed flow dominated by gradual initial anticyclone forms when rotation rate increased, which fills container's interior; vorticity generated adjacent vertical walls throughout remains confined neighbourhood corners. Conversely, ${E^{1/2}/Ro\ll 1}$ layers rapidly break down, resulting cyclonic vortices corners, grow interact anticyclone, leading three-cell pattern. For our description generally agrees well experiments, computation eruption times unsteady consistent observations both $Ro=0.2$

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2022

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.150