| Issue |
A&A
Volume 580, August 2015
|
|
|---|---|---|
| Article Number | L3 | |
| Number of page(s) | 5 | |
| Section | Letters | |
| DOI | https://doi.org/10.1051/0004-6361/201526472 | |
| Published online | 23 July 2015 | |
Online material
Appendix A: Dynamical equations for tidal flows in convective envelopes
The solutions of the system of dynamical equations for the envelope written in the co-rotating frame are separated into a non-wavelike part (with subscripts nw), which corresponds to the immediate hydrostatic adjustment to the external tidal potential (U), and a wavelike part (with subscript w) driven by the action of the Coriolis acceleration on the non-wavelike part, 
(A.1)
where s is the displacement, ez the unit vector along the rotation axis, h the specific enthalpy, and Φ is the self-gravitational potential of A. Primed variables denote an Eulerian perturbation in relation to the unperturbed state with unprimed variables. We note that U being of the first order in tidal amplitude, it appears in perturbation equations. Finally, W ≡ Wnw + Ww = h′ + Φ′ + U, while 
is the acceleration driving the wavelike part of the solution.
© ESO, 2015
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