Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration
文献类型：期刊论文
| 作者 | Zhang, Keke1,2; Chan, Kit H.3; Liao, Xinhao4
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2012-02-10 |
| 卷号 | 692期号:1页码:420-445 |
| 关键词 | geophysical and geological flows rotating flows |
| 英文摘要 | We consider a homogeneous fluid of viscosity nu confined within an oblate spheroidal cavity, x(2)/a(2) + y(2)/a(2) + z(2)/(a(2)(1 - E-2)) = 1, with eccentricity 0 < E < 1. The spheroidal container rotates rapidly with an angular velocity Omega(0), which is fixed in an inertial frame and defines a small Ekman number E = nu/(a(2)vertical bar Omega(0)vertical bar), and undergoes weak latitudinal libration with frequency (omega) over cap vertical bar Omega(0)vertical bar and amplitude Po vertical bar Omega(0)vertical bar, where Po is the Poincare number quantifying the strength of Poincare force resulting from latitudinal libration. We investigate, via both asymptotic and numerical analysis, fluid motion in the spheroidal cavity driven by latitudinal libration. When vertical bar(omega) over cap - 2/(2 - E-2)vertical bar >> O(E-1/2), an asymptotic solution for E << 1 and Po << 1 in oblate spheroidal coordinates satisfying the no-slip boundary condition is derived for a spheroidal cavity of arbitrary eccentricity without making any prior assumptions about the spatial-temporal structure of the librating flow. In this case, the librationally driven flow is non-axisymmetric with amplitude O(Po), and the role of the viscous boundary layer is primarily passive such that the flow satisfies the no-slip boundary condition. When vertical bar(omega) over cap - 2/(2 - E-2)vertical bar << O(E-1/2), the librationally driven flow is also non-axisymmetric but latitudinal libration resonates with a spheroidal inertial mode that is in the form of an azimuthally travelling wave in the retrograde direction. The amplitude of the flow becomes O(Po/E-1/2) at E << 1 and the role of the viscous boundary layer becomes active in determining the key property of the flow. An asymptotic solution for E << 1 describing the librationally resonant flow is also derived for an oblate spheroidal cavity of arbitrary eccentricity. Three-dimensional direct numerical simulation in an oblate spheroidal cavity is performed to demonstrate that, in both the non-resonant and resonant cases, a satisfactory agreement is achieved between the asymptotic solution and numerical simulation at E << 1. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Mechanics ; Physics |
| 关键词[WOS] | ROTATING SPHERICAL CAVITY ; INERTIAL OSCILLATIONS ; FLUID MOTION ; MOLTEN CORE ; LIQUID ; PRECESSION ; MERCURY ; SHELLS ; WAVES ; BODY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000299883400019 |
| 源URL | [http://119.78.226.72/handle/331011/18143]  |
| 专题 | 上海天文台_天文地球动力学研究中心 |
| 作者单位 | 1.Univ Exeter, Dept Math Sci, Exeter EX4 4QF, Devon, England 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China 4.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Keke,Chan, Kit H.,Liao, Xinhao. Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration[J]. JOURNAL OF FLUID MECHANICS,2012,692(1):420-445. |
| APA | Zhang, Keke,Chan, Kit H.,&Liao, Xinhao.(2012).Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration.JOURNAL OF FLUID MECHANICS,692(1),420-445. |
| MLA | Zhang, Keke,et al."Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration".JOURNAL OF FLUID MECHANICS 692.1(2012):420-445. |
入库方式： OAI收割
来源：上海天文台
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。