dc.contributor.author | Zhang, Keke | en_GB |
dc.contributor.author | Kong, Dali | en_GB |
dc.contributor.author | Liao, X. | en_GB |
dc.date.accessioned | 2013-03-04T15:15:30Z | en_GB |
dc.date.accessioned | 2013-03-20T12:32:58Z | |
dc.date.issued | 2010-05-20 | en_GB |
dc.description.abstract | We consider a viscous, incompressible fluid confined in a narrow annular channel rotating rapidly about its axis of symmetry with angular velocity Ω that itself precesses slowly about an axis fixed in an inertial frame. The precessional problem is characterized by three parameters: the Ekman number E, the Poincaré number ε and the aspect ratio of the channel Γ. Dependent upon the size of Γ, precessionally driven flows can be either resonant or non-resonant with the Poincaré forcing. By assuming that it is the viscous effect, rather than the nonlinear effect, that plays an essential role at exact resonance, two asymptotic expressions for ε ≪ 1 and E ≪ 1 describing the single and double inertial-mode resonance are derived under the non-slip boundary condition. An asymptotic expression describing non-resonant precessing flows is also derived. Further studies based on numerical integrations, including two-dimensional linear analysis and direct three-dimensional nonlinear simulation, show a satisfactory quantitative agreement between the three asymptotic expressions and the fuller numerics for small and moderate Reynolds numbers at an asymptotically small E. The transition from two-dimensional precessing flow to three-dimensional small-scale turbulence for large Reynolds numbers is also investigated. | en_GB |
dc.identifier.citation | Vol. 656, pp. 116 - 146 | en_GB |
dc.identifier.doi | 10.1017/S0022112010001059 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10036/4402 | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | Cambridge University Press | en_GB |
dc.title | On fluid flows in precessing narrow annular channels: asymptotic analysis and numerical simulation | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2013-03-04T15:15:30Z | en_GB |
dc.date.available | 2013-03-20T12:32:58Z | |
dc.identifier.issn | 0022-1120 | en_GB |
dc.description | Copyright © 2010 Cambridge University Press | en_GB |
dc.identifier.eissn | 1469-7645 | en_GB |
dc.identifier.journal | Journal of Fluid Mechanics | en_GB |