The tachocline and differential rotation in the Sun
In this paper, we present a model for the effects of the tachocline on the differential rotation in the solar convection zone. The mathematical technique relies on the assumption that entropy is nearly constant ('well mixed') in isorotation surfaces both outside and within the tachocline....
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1826290767261335552 |
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| author | Balbus, S Latter, H |
| author_facet | Balbus, S Latter, H |
| author_sort | Balbus, S |
| collection | OXFORD |
| description | In this paper, we present a model for the effects of the tachocline on the differential rotation in the solar convection zone. The mathematical technique relies on the assumption that entropy is nearly constant ('well mixed') in isorotation surfaces both outside and within the tachocline. The resulting solutions exhibit non-trivial features that strikingly resemble the true tachocline isorotation contours in unexpected detail. This strengthens the mathematical premises of the theory. The observed rotation pattern in the tachocline shows strong quadupolar structure, an important feature that is explicitly used in constructing our solutions. The tachocline is treated locally as an interior boundary layer of small but finite thickness, and an explicit global solution is then constructed. A dynamical link can thus be established between the internal jump in the angular velocity at the tachocline and the spread of angular velocities observed near the solar surface. In general, our results suggest that the bulk of the solar convection zone is in thermal wind balance, and that simple quadrupolar stresses, local in radius, mediate the tachocline transition from differential rotation to uniform rotation in the radiative interior. © 2010 The Authors. Journal compilation. © 2010 RAS. |
| first_indexed | 2024-03-07T02:49:14Z |
| format | Journal article |
| id | oxford-uuid:ad174d71-3a04-4ea7-a42f-10760af74ecc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:49:14Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:ad174d71-3a04-4ea7-a42f-10760af74ecc2022-03-27T03:33:12ZThe tachocline and differential rotation in the SunJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ad174d71-3a04-4ea7-a42f-10760af74eccEnglishSymplectic Elements at Oxford2010Balbus, SLatter, HIn this paper, we present a model for the effects of the tachocline on the differential rotation in the solar convection zone. The mathematical technique relies on the assumption that entropy is nearly constant ('well mixed') in isorotation surfaces both outside and within the tachocline. The resulting solutions exhibit non-trivial features that strikingly resemble the true tachocline isorotation contours in unexpected detail. This strengthens the mathematical premises of the theory. The observed rotation pattern in the tachocline shows strong quadupolar structure, an important feature that is explicitly used in constructing our solutions. The tachocline is treated locally as an interior boundary layer of small but finite thickness, and an explicit global solution is then constructed. A dynamical link can thus be established between the internal jump in the angular velocity at the tachocline and the spread of angular velocities observed near the solar surface. In general, our results suggest that the bulk of the solar convection zone is in thermal wind balance, and that simple quadrupolar stresses, local in radius, mediate the tachocline transition from differential rotation to uniform rotation in the radiative interior. © 2010 The Authors. Journal compilation. © 2010 RAS. |
| spellingShingle | Balbus, S Latter, H The tachocline and differential rotation in the Sun |
| title | The tachocline and differential rotation in the Sun |
| title_full | The tachocline and differential rotation in the Sun |
| title_fullStr | The tachocline and differential rotation in the Sun |
| title_full_unstemmed | The tachocline and differential rotation in the Sun |
| title_short | The tachocline and differential rotation in the Sun |
| title_sort | tachocline and differential rotation in the sun |
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