2021-11-28T13:50:46Z
https://oa.upm.es/cgi/oai2
oai:oa.upm.es:7661
2016-04-20T16:44:40Z
7374617475733D707562
7375626A656374733D666973696361
747970653D61727469636C65
Self-consistent stability analysis of spherical shocks.
Sanz Recio, Javier
Bouquet, S.
Murakami, M.
Physics
In this paper, we study self-similar solutions, and their linear stability as well, describing the flow within a spherical shell with finite thickness, expanding according to a power law of time, t q , where q>0. The shell propagates in a medium with initially uniform density and it is bounded by a strong shock wave at its outer border while the inner face is submitted to a time-dependent uniform pressure. For q=2/5, the well-known Sedovâ€“Taylor solution is recovered. In addition, although both accelerated and decelerated shells can be unstable against dynamic perturbations, they exhibit highly different behaviors. Finally, the dispersion relation derived earlier by Vishniac (Vishniac, E.T. in Astrophys. J. 274:152, 1983) for an infinitely thin shell is obtained in the limit of an isothermal shock wave.
E.T.S.I. AeronĂˇuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2010-12
info:eu-repo/semantics/article
Article
Astrophysics and Space Science, ISSN 0004-640X, 2010-12
PeerReviewed
application/pdf
eng
http://www.springerlink.com/content/c182183776506803/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10509-010-0563-z
http://oa.upm.es/7661/