Non-linear acoustic waves in discs

Details Non-linear acoustic waves in discs Non-linear acoustic waves in discs

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.243..588l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 243, April 15, 1990, p. 588-592.

Computer Science

Sound

29

Accretion Disks, Nonlinear Equations, Shock Waves, Sound Waves, Wave Equations, Angular Momentum, Flow Velocity, Gas Flow, Steady State

Scientific paper

A pattern of trailing spiral shock waves can drive a gas inflow in a disk, and it is shown here how the inflow rate can be calculated from wave theory. A wave equation is derived and is used to calculate profiles and shock strengths for acoustic waves in disks, and hence to calculate net gas flow rates. In a steady state, the predicted dependence of the gas inflow rate on the wave trailing angle is in good agreement with the earlier numerical results of Spruit, except in the limit of very tightly wound waves where the present results should provide a better approximation. The finding of Spruit that one-armed steady shocks are not possible is also explained. The possible applicability of these results to astrophysical accretion flows, particularly in protostellar disks, is briefly discussed.

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