Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26a...340..178s&link_type=abstract
Astronomy and Astrophysics, v.340, p.178-182 (1998)
Astronomy and Astrophysics
Astrophysics
29
Convection, Hydrodynamics, Stars: Interiors
Scientific paper
{A number of scaling relationships have been proposed by several authors relating the penetration depth (Delta_ {d}) at the bottom of a convective region to the velocity of the penetrating motions and the input flux (F_b). These may be expressed as Delta_ {d} ~ Vzo(3/2) for the case where the radiative conductivity varies smoothly from the unstable to the stable zone; Vzo being the vertical velocity at the bottom of the convection zone. When the conductivity varies stepwise from one zone to another, it has been suggested that Delta_ {d} ~ (Vzo(3) /F_b) for adiabatic penetration and Delta_ {d} ~ Fb(1/2) for non-adiabatic penetration. In this paper, we study the general behaviour of motions penetrating into the stable region at the bottom of a convective envelope by numerically solving the full set of Navier-Stokes equations in three dimensions. We compute a series of models which allow us to examine the scaling relationships between the penetration distance, the input flux and the vertical velocity.}
Chan Kwing L.
Roxburgh Ian W.
Singh Harinder P.
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