Meridional circulation in rotating stars |
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Authors: | Tomofumi Nakakita |
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Institution: | (1) Astronomical Institute, Tohoku University, Sendai, Japan;(2) Present address: Ishikawajima-Harima Heavy Industries, Space Road Kabe, Oume, Tokyo, Japan |
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Abstract: | The redistribution of angular momentum caused by the meridional circulation in a rotating Cowling-type star is studied as a nonlinear initial-value problem, employing the first-order perturbation theory and Legendre expansion. The difficulty of the Eddington-Sweet theory, that is, the meridional velocity becomes infinitely large both on the free surface and on the interface between the radiative and convective regions, is removed following Osaki's (1972) or Sakurai's (1975) proposal. The present work shows that the star moves toward the almost circulation free state in the Eddington-Sweet time-scale. However, the resultant almost circulation free state is quite different from the Roxburgh (1964a, b) solution; the random circulation argued by Kippenhahn (1974) never appears. |
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