Gradient relations at the gas detonation front

The so-called gradient relations, i.e., analytical formulas that define the relationship between partial spatial derivatives (gradients) of pressure, density, and gas particle velocity behind a plane detonation front and the acceleration of the front, are obtained within the framework of a model based on the assumption of isothermality of gas detonation products. It is shown that the relations can be used to simplify the description of overdriven detonation regimes in chemically reacting gas.