A new asymptotic method for the analysis of convection in a rapidly rotating sphere | |
Zhang, KK; Liao, XH | |
刊名 | JOURNAL OF FLUID MECHANICS
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2004-11-10 | |
卷号 | 518期号:1页码:319-346 |
英文摘要 | Thermal convection in rapidly rotating, self-gravitating Boussinesq fluid spheres is characterized by three parameters: the Rayleigh number R, the Prandtl number Pr and the Ekman number E. Two different asymptotic limits were considered in the previous studies of the linear problem. In the double limit E much less than 1 and Pr/E much greater than 1, the local asymptotic theory showed that the convective motion is strongly non-axisymmetric, columnar, highly localized and described by the asymptotic scalings, (1/s)partial derivative/partial derivativephi = O (E-1/3), partial derivative/partial derivativez = O(1), R-c = O(E-1/3), where R-c denotes the critical Rayleigh number and (s, phi, z) are cylindrical polar coordinates with the axis of rotation at s = 0. A global asymptotic theory with novel features for the limit E much less than 1 and Pr/E much greater than 1, indicating the radial asymptotic scaling partial derivative/partial derivatives = O (E-1/3), was recently developed by Jones et al. (J. Fluid Mech. vol. 405, 2000, p. 157). In the different double limit E much less than 1 and Pr/E much less than 1, an asymptotic theory for the onset of convection building upon the theory of inertial waves was developed by Zhang (J. Fluid Mech. vol. 268, 1994 p. 211). It was shown that the convective motion at the leading-order approximation is represented by a single inertial-wave mode with a quadratic polynomial of s and z, obeying the asymptotic dependence partial derivative/partial derivatives similar to (1/s)partial derivative/partial derivativephi = O(1), partial derivative/partial derivativez = O(1) and R-c = O(E) for stress-free spheres. |
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] | ZONAL FLOW DRIVEN ; THERMAL-CONVECTION ; FLUID SHELLS ; INERTIAL WAVES ; ONSET ; DYNAMOS ; NUMBER |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000225335600013 |
内容类型 | 期刊论文 |
源URL | [http://119.78.226.72/handle/331011/18322] ![]() |
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 4QE, Devon, England 2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, KK,Liao, XH. A new asymptotic method for the analysis of convection in a rapidly rotating sphere[J]. JOURNAL OF FLUID MECHANICS,2004,518(1):319-346. |
APA | Zhang, KK,&Liao, XH.(2004).A new asymptotic method for the analysis of convection in a rapidly rotating sphere.JOURNAL OF FLUID MECHANICS,518(1),319-346. |
MLA | Zhang, KK,et al."A new asymptotic method for the analysis of convection in a rapidly rotating sphere".JOURNAL OF FLUID MECHANICS 518.1(2004):319-346. |
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