Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-03-13
Astrophys.J.550:443-447,2001; Erratum-ibid.557:493,2001
Astronomy and Astrophysics
Astrophysics
7 pages, 2 figures, revised version to appear in ApJ, March 10
Scientific paper
10.1086/319705
Recently, eigenmodes of rotating fluids, namely inertial modes, have received much attention in relation to their destabilization when coupled to gravitational radiation within neutron stars. However, these modes have been known for a long time by fluid dynamicists. We give a short account of their history and review our present understanding of their properties. Considering the case of a spherical container, we then give the exact solution of the boundary (Ekman) layer flow associated with inertial r-modes and show that previous estimations all underestimated the dissipation by these layers. We also show that the presence of an inner core has little influence on this dissipation. As a conclusion, we compute the window of instability in the Temperature/rotation plane for a crusted neutron star when it is modeled by an incompressible fluid.
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