Magnetized Accretion and Funnel Flow

Details Magnetized Accretion and Funnel Flow Magnetized Accretion and Funnel Flow

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...469..765l&link_type=abstract

Astrophysical Journal v.469, p.765

Astronomy and Astrophysics

Astronomy

25

Accretion, Accretion Disks, Hydrodynamics, Shock Waves

Scientific paper

The formation of a standing accretion shock in an axisymmetric, ideal, and steady field-channeled accretion flow (or funnel flow) is explored. The shock jump relations are given by the constancy of the integral constants (except the Bernoulli constant as original defined) of magnetohydrodynamic (MHD) equations of the funnel flow across the shock. The accretion shock is slow magnetosonic in nature for a sub-Alfvénic flow, and it sets a new boundary relating to the inner disk in which the accretion flow is initiated. It is found that if a star is an ideal conductor, the stellar rotation rate Ωs constrains strongly the integral constant α of the induction equation and the rotation rate of the inner disk (Ωd) in that α = Ωs and Ωd ≃ Ωs/(1 - Dd), where Dd is the square of the Alfvén Mach number defined by the poloidal magnetic field of the initial funnel flow.
Our results can be applied to determine the funnel-associated torque on the star. We show that our flow-centered view and the Ghosh & Lamb disk centered view lead in general to contradictory results. In particular, unless the shocked gas has a large deviation from the stellar rotation, or ΔΩ˜Ωs, the funnel flow could carry only a small portion of angular momentum flux. Since for the shock, ΔΩ = 0 due to the stellar boundary condition for steady accretion, we conclude that the funnel flow transports excess angular momentum of the inflowing matter mostly to the disk rather than to the star, a result in accord with the arguments of Shu et al. and the detailed models of Ostriker & Shu. Thus, the matter angular momentum term, as adopted in the Ghosh & Lamb model for the angular momentum accretion, may not exist.

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