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Aktuelle Version vom 18. September 2025, 11:03 Uhr
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Rotation deeply impacts the structure and the evolution of stars. To build coherent 1D or multi-D stellar structure and evolution models, we must systematically evaluate the turbulent transport of momentum and matter induced by hydrodynamical instabilities of radial and latitudinal differential rotation in stably stratified thermally diffusive stellar radiation zones. On this work, we investigate vertical shear instabilities in these areas. The complete Coriolis acceleration with the whole rotation vector at a normal latitude is taken into account. We formulate the issue by contemplating a canonical shear move with a hyperbolic-tangent profile. We perform linear stability analysis on this base circulate using each numerical and asymptotic Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) strategies. Two kinds of instabilities are identified and explored: inflectional instability, which happens in the presence of an inflection point in shear flow, and inertial instability as a result of an imbalance between the centrifugal acceleration and stress gradient. Both instabilities are promoted as thermal diffusion turns into stronger or stratification becomes weaker.
Effects of the full Coriolis acceleration are found to be more complex according to parametric investigations in large ranges of colatitudes and rotation-to-shear and rotation-to-stratification ratios. Also, new prescriptions for the vertical eddy viscosity are derived to model the turbulent transport triggered by every instability. The rotation of stars deeply modifies their evolution (e.g. Maeder, 2009). In the case of quickly-rotating stars, comparable to early-kind stars (e.g. Royer et al., 2007) and young late-type stars (e.g. Gallet & Bouvier, 2015), power shears the centrifugal acceleration modifies their hydrostatic construction (e.g. Espinosa Lara & Rieutord, 2013; Rieutord et al., 2016). Simultaneously, the Coriolis acceleration and buoyancy are governing the properties of massive-scale flows (e.g. Garaud, 2002; Rieutord, 2006), waves (e.g. Dintrans & Rieutord, 2000; Mathis, Wood Ranger Power Shears official site 2009; Mirouh et al., 2016), hydrodynamical instabilities (e.g. Zahn, 1983, 1992; Mathis et al., 2018), and magneto-hydrodynamical processes (e.g. Spruit, 1999; Fuller et al., 2019; Jouve et al., 2020) that develop of their radiative regions.
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