In the presence of self-gravity, we investigate the self-similar dynamics of a relativistically hot gas with or without shocks in astrophysical processes of stellar core collapse, formation of compact objects, and supernova remnants with central voids. The model system is taken to be spherically symmetric and the conservation of specific entropy along streamlines is adopted for a relativistic h...

In an attempt to determine the outer scale of turbulence driven by localized sources, such as supernova explosions in the interstellar medium, we consider a forcing function given by the gradient of gaussian profiles localized at random positions. Different coherence times of the forcing function are considered. In order to isolate the effects specific to the nature of the forcing function we c...

The resonance of a dynamic tide with a free oscillation mode in a component of a close binary system of stars is treated by means of a two-time variable expansion procedure. The treatment is developed with respect to a frame of reference corotating with the star. Both the free oscillation mode and the dynamic tide are considered as linear, isentropic perturbations of a spherically symmetric sta...

The orbital separation of compact binary stars will shrink with time due to the emission of gravitational radiation. This inspiralling phase of a binary system’s evolution generally will be very long compared to the system’s orbital period, but the final coalescence may be dynamical and driven to a large degree by hydrodynamic effects, particularly if there is a critical separation at which the...

The orbital separation of compact binary stars will shrink with time due to the emission of gravitational radiation. This inspiralling phase of a binary system’s evolution generally will be very long compared to the system’s orbital period, but the final coalescence may be dynamical and driven to a large degree by hydrodynamic effects, particularly if there is a critical separation at which the...

The mass fraction burned (MFB) is determined from the analysis of measured incylinder pressure data. In this paper, a net pressure method (model 2) is used to evaluate the MFB curves at different load conditions (3.3 bar indicated mean effective pressure and wideopen throttle) using a constant polytropic index. Results are compared with the well-known Rassweiler–Withrow method (model 1), which ...