2012 , Volume 17, № 1, p.100-108

A natural assumption on the form of the caloric equation of state (internal energy) of the medium for one-dimensional and quasi-one-dimensional motions allows obtaining relations that provide a one-to-one correspondence between the first partial spatial derivatives (gradients) of the pressure, density, mass velocity of a gas behind the shock or detonation front (the surface of strong discontinuity) and the time derivative of velocity (acceleration) of the front. The assumption is based on the fact that, taking into account the thermal equation of state, the total internal energy, including both the thermodynamic part and potential chemical energy, can be represented as a function of pressure and density. This holds for both of inert media and reaction products in the state of chemical equilibrium. The obtained relations are more universal compared to the previously known ones, thus expanding the area of their possible applications.