Statistics – Computation
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...340..666b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 340, May 15, 1989, p. 666-678. Research supported by the University of Cali
Statistics
Computation
40
Computational Astrophysics, Cooling Flows (Astrophysics), Elliptical Galaxies, Evolution (Development), Cosmic X Rays, Density Distribution, Virgo Galactic Cluster
Scientific paper
Similarity solutions are presented for the time-dependent evolution of cooling flows. A cooling flow expands when the cooling time computed from the initial gas distribution increases with radius. If certain simplifying conditions are met, the evolution of the resulting cooling wave becomes self-similar. The similarity solutions obtained here assumed subsonic flow, which is valid in the outer parts of observed cooling flows; they are matched to transonic accretion solutions valid in the central parts. The models are applied to the cooling flow onto M87, with unsatisfactory agreement at small radius. A local linear stability analysis shows that the similarity solution suffers isobaric thermal instability, suggesting that the neglect of star formation may be responsible for the poor agreement. The similarity solution suggests that the cooling flow around M87 was more vigorous in the past.
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