Computer Science – Sound
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspta.284..369s&link_type=abstract
Royal Society (London), Philosophical Transactions, Series A, vol. 284, no. 1325, Mar. 22, 1977, p. 369-417.
Computer Science
Sound
33
Asymptotic Methods, Lines Of Force, Magnetic Diffusion, Magnetic Field Configurations, Magnetohydrodynamic Flow, Mathematical Models, Boundary Layer Flow, Current Sheets, Incompressible Flow, Mach Number, Steady Flow, Two Dimensional Flow
Scientific paper
Petschek's (1964) model of fast magnetic-field-line reconnection is placed on a sound mathematical basis by obtaining asymptotic solutions that contain only one discontinuity in each quadrant. A detailed self-consistent analytical model is developed in which the magnetic-field strength varies to the lowest order as the square root of the logarithm of the distance from the origin, increases with distance in the inflow region, and decreases in the outflow region; also, the Alfven lines curve away from the incoming flows. The solutions are found to be valid everywhere outside the central diffusion region when the inflow Alfven Mach number is much less than unity and to be valid at large distances from the diffusion region when that Mach number is of the order of unity. The results are compared with those obtained by Sonnerup (1970), Yeb and Axford (1970), and Roberts and Priest (1975).
Priest Eric R.
Soward Andrew M.
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