## 3. ModelWe base our consideration on the model of ideal inviscid fluid with a constant specific heats ratio which is described by the hydrodynamic equations where are the density, the velocity and the pressure of the fluid respectively. The unperturbed medium is assumed to be freely expanding according to the law The moment Our consideration focuses on the case of the power-law medium. We also suggest that the mass ejected by a source of explosion is neglible compared to the swept-up mass. In the motionless cold unperturbed medium with the power-law radial density distribution and negligible pressure the strong blast wave dynamics is described by the self-similar
Sedov solution (Sedov 1959). The similarity arises naturally because
the dynamics in this case is unambigiously determined by four
dimensional parameters: In case of the freely expanding medium the power-law density distribution evolves in time as where © European Southern Observatory (ESO) 1998 Online publication: June 12, 1998 |