Isothermal cooling flows

Details Isothermal cooling flows Isothermal cooling flows

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.297.1109n&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 297, No. 4, p. 1109 (1998).

Astronomy and Astrophysics

Astronomy

13

Cooling Flows

Scientific paper

Details of the solution are derived for a steady, self-similar, comoving, isothermal cooling flow. The distribution of gas phases can be expressed in terms of the mass flow function, Mdot (r, T), which gives the mass per unit time of gas hotter than temperature T flowing into a sphere of radius r. Self-similarity allows this to be separated as Mdot (r,T) = Mdot (r)g(T), where Mdot (r) is the usual mass flow rate and g(T) is a dimensionless function expressing the distribution of the phases. It is shown that, for Mdot (r)α(T) = exp [- 5η over 3-η 3 ) ∫ (Tm/Th)2]($'}{Λ(Tm) - ii' where Tm is the maximum temperature of the hot gas. In the units used here, the corresponding solution for the differential emission measure from within a sphere of radius r is de 5 Mg(T) dT - 2Λ(T)-Λ(Tm)(T/Tm)2, where Mdot = Mdot (r) is the total mass flow rate into the sphere.

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