K. Murawski et B. Roberts, RANDOM VELOCITY-FIELD CORRECTIONS TO THE F-MODE .2. VERTICAL AND HORIZONTAL FLOW, Astronomy and astrophysics, 272(2), 1993, pp. 601-608
The influence of a random flow on f-mode frequencies is assessed using
a model in which the convection zone is represented by an incompressi
ble fluid within which is a horizontal and vertical random flow. We de
rive an exact dispersion relation which is solved numerically. We find
that the frequency omega of the f-mode is close to the parabola omega
2 = gk(rho1 - rho2)/(rho1 + rho2) at low and intermediate horizontal w
avenumbers k; but at high k it departs from the parabola, falling belo
w it. Such a behaviour is in general agreement with recent observation
s.