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Convective instability when the temperature gradient and rotation vector are oblique to gravity. I. Fluids without diffusion

 

作者: DavidH. Hathaway,   PeterA. Gilman,   Juri Toomre,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  (Taylor Available online 1979)
卷期: Volume 13, issue 1  

页码: 289-316

 

ISSN:0309-1929

 

年代: 1979

 

DOI:10.1080/03091927908243778

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We carry out a linear stability analysis of fluid layers under uniform rotation which possess both vertical and horizontal temperature gradients. In order to represent vnrious latitudes with these plane parallel layers we use a rotation vector which is generally oblique to gravity. We consider ideal fiuids without diffusion within a Boussinesq approximation. This simplified configuration is used to assess the preferred convective modes as a function of latitude on a planet like Jupiter. The tilted rotation vector introduces a preference for roll-like disturbanas. with north-south orientations, while the horizontal temperature gradient produces a thermal wind shear which favors convective rolls oriented parallel to the flow in an east-west direction. With both these effects present we find that the horizontal ternperature gradient needed to produce a preference for the axisymmetric or east-west rolls increases with increasing rotation rate and decreasing latitude. The results also indicate that shells with warm-equators have a much stronger preference for east-west rolls than do shells with cold equators. In addition we find that the tilted rotation vector serves to make the symmetric modes unstable even for stable vertical stratifications with Richardson numbers greater than one.

 

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