Issue |
A&A
Volume 395, Number 3, December I 2002
|
|
---|---|---|
Page(s) | 1023 - 1029 | |
Section | Astronomical instrumentation | |
DOI | https://doi.org/10.1051/0004-6361:20021305 | |
Published online | 18 November 2002 |
Self-similar spherical shock solution with sustained energy injection
Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary prospect 7a, 117312 Moscow, Russia
Corresponding author: dokuchaev@inr.npd.ac.ru
Received:
19
February
2002
Accepted:
10
July
2002
We present the generalization of the Sedov-Taylor self-similar strong
spherical shock solution for the case of a central energy source varying
in time, E=A tk, where A and k are constants. The known
Sedov-Taylor solution corresponds to a particular adiabatic case of
or instant shock with an instant energy source of the shock,
. The self-similar hydrodynamic flow in the nonadiabatic
case exists only under the appropriate local entropy (energy) input which
must be supported by some radiative mechanism from the central engine.
The specific case of
corresponds to a permanent energy injection
into the shock, or injection shock with a central source of
constant luminosity,
,
. The generalized self-similar shock
solution may be applied to astrophysical objects in which the duration of
central source activity is longer than the shock expansion time, e.g.
the early phase of SN explosions, strong wind from stars and young
pulsars, non-steady spherical outflow from black holes and collapsing
dense stellar clusters with numerous neutron star collisions.
Key words: hydrodynamics / shock waves / stars: winds, outflows / supernovae: general / ISM: bubbles
© ESO, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.