Calculation of parameters of weak one-dimensional deflagration

The results of numerical solution of the one-dimensional problem on weak deflagration of gas mixtures are analyzed for all forms of symmetry. The boundary condition is proposed, which allows us to eliminate the singularities in the vicinity of the shock front upon numerical integration of the equations for low velocities of the flame front. Analytical relations are obtained for the parameters of a forming flow, which approximate the results of numerical solution with high accuracy, up to the values of the visible flame velocity 1.5–2 times higher than the sound velocity in the initial mixture.