dc.contributor.author | Zhang, Keke | en_GB |
dc.contributor.author | Liao, X. | en_GB |
dc.date.accessioned | 2013-03-04T14:37:28Z | en_GB |
dc.date.accessioned | 2013-03-20T12:33:05Z | |
dc.date.issued | 2008-08-08 | en_GB |
dc.description.abstract | The initial-value problem in rapidly rotating circular cylinders is revisited. Four different but related analyses are carried out: (i) we derive a modified asymptotic expression for the viscous decay factors valid for the inertial modes of a broad range of frequencies that are required for an asymptotic solution of the initial value problem at an arbitrarily small but fixed Ekman number; (ii) we perform a fully numerical analysis to estimate the viscous decay factors, showing satisfactory quantitative agreement between the modified asymptotic expression and the fuller numerics; (iii) we derive a modified time-dependent asymptotic solution of the initial value problem valid for an arbitrarily small but fixed Ekman number and (iv) we perform fully numerical simulations for the initial value problem at a small Ekman number, showing satisfactory quantitative agreement between the modified time-dependent solution and the numerical simulations. | en_GB |
dc.identifier.citation | Vol. 610, pp. 425 - 443 | en_GB |
dc.identifier.doi | 10.1017/S0022112008002711 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10036/4399 | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | Cambridge University Press | en_GB |
dc.title | On the initial-value problem in a rotating circular cylinder | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2013-03-04T14:37:28Z | en_GB |
dc.date.available | 2013-03-20T12:33:05Z | |
dc.identifier.issn | 0022-1120 | en_GB |
dc.description | Copyright © 2008 Cambridge University Press | en_GB |
dc.identifier.eissn | 1469-7645 | en_GB |
dc.identifier.journal | Journal of Fluid Mechanics | en_GB |