Random velocity field corrections of the f-mode. II. Vertical and horizontal flow

Astronomy and Astrophysics – Astrophysics

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Helioseismology, F-Mode, Turbulence, Sun: Oscillations, Sun: Graunlation, Mhd, Turbulence

Scientific paper

The influence of a random flow on f-mode frequencies is assessed using a model in which the convection zone is represented by an incompressible fluid within which is a horizontal and vertical random flow. We derive an exact dispersion relation which is solved numerically. We find that the frequency ω of the f-mode is close to the parabola ω2 = gk(ρ1-ρ2)/(P1+P2) at low and intermediate horizontal wavenumbers k; but at high k it departs from the parabola, falling below it. Such a behaviour is in general agreement with recent observations.

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