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Conference Paper: Fluid dynamics in a librating triaxial ellipsoidal planet
Title | Fluid dynamics in a librating triaxial ellipsoidal planet |
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Authors | |
Issue Date | 2010 |
Publisher | American Geophysical Union. |
Citation | American Geophysical Union (AGU) Fall Meeting 2010, Moscone Convention Center, San Francisco, California, USA, 13–17 December 2010, p. abstract no. P21A-1585 How to Cite? |
Abstract | A planetary body can be deformed by both tidal force and rotational effect. In consequence, the cavity of a planetary fluid core is usually in the shape of a triaxial ellipsoid ${x^2}/{a^2} {y^2}/{b^2} {z^2}/{c^2}=1$, where $a, b$ and $c$ are three different semi-axes and $z$ is in the direction of rotation. Gravitational interaction between a planet and its parent star can force longitudinal libration by exerting an axial torque on the planet. When the equatorial eccentricity $e$ is small, $E^{1/4} << e=sqrt{a^2-b^2}/a^2 << 1$, where $E$ is the Ekman number, we derive an analytical solution describing librationally driven flows in the mantle frame of reference valid for any librating frequency. When the equatorial eccentricity $e$ is arbitrary, we carry out direct numerical simulation of the fully nonlinear problem in the same frame of reference, using an EBE (Element-By-Element) finite element method. A satisfactory agreement between the analytical solution and the nonlinear numerical simulation is achieved for small librating amplitude and new interesting nonlinear phenomena are revealed for large librating amplitude. |
Description | Planetary Sciences: P21A Session Interiors of Terrestrial Planets and Super-Earth Exoplanets - Poster presentation |
Persistent Identifier | http://hdl.handle.net/10722/237830 |
DC Field | Value | Language |
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dc.contributor.author | Zhang, K | - |
dc.contributor.author | Chan, KH | - |
dc.contributor.author | Liao, X | - |
dc.date.accessioned | 2017-01-24T06:44:03Z | - |
dc.date.available | 2017-01-24T06:44:03Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | American Geophysical Union (AGU) Fall Meeting 2010, Moscone Convention Center, San Francisco, California, USA, 13–17 December 2010, p. abstract no. P21A-1585 | - |
dc.identifier.uri | http://hdl.handle.net/10722/237830 | - |
dc.description | Planetary Sciences: P21A Session Interiors of Terrestrial Planets and Super-Earth Exoplanets - Poster presentation | - |
dc.description.abstract | A planetary body can be deformed by both tidal force and rotational effect. In consequence, the cavity of a planetary fluid core is usually in the shape of a triaxial ellipsoid ${x^2}/{a^2} {y^2}/{b^2} {z^2}/{c^2}=1$, where $a, b$ and $c$ are three different semi-axes and $z$ is in the direction of rotation. Gravitational interaction between a planet and its parent star can force longitudinal libration by exerting an axial torque on the planet. When the equatorial eccentricity $e$ is small, $E^{1/4} << e=sqrt{a^2-b^2}/a^2 << 1$, where $E$ is the Ekman number, we derive an analytical solution describing librationally driven flows in the mantle frame of reference valid for any librating frequency. When the equatorial eccentricity $e$ is arbitrary, we carry out direct numerical simulation of the fully nonlinear problem in the same frame of reference, using an EBE (Element-By-Element) finite element method. A satisfactory agreement between the analytical solution and the nonlinear numerical simulation is achieved for small librating amplitude and new interesting nonlinear phenomena are revealed for large librating amplitude. | - |
dc.language | eng | - |
dc.publisher | American Geophysical Union. | - |
dc.relation.ispartof | American Geophysical Union (AGU) Fall Meeting 2010 | - |
dc.rights | American Geophysical Union (AGU) Fall Meeting 2010. Copyright © American Geophysical Union. | - |
dc.title | Fluid dynamics in a librating triaxial ellipsoidal planet | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chan, KH: mkhchan@hku.hk | - |
dc.identifier.authority | Chan, KH=rp00664 | - |
dc.identifier.hkuros | 188092 | - |
dc.publisher.place | United States | - |