Strong point explosion in vibrationally exciting gas

For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of self-similar solutions of the one-dimensional unsteady flows of a vibrationally excited gas is obtained. Using the problem of a strong point explosion as an example, it is shown that the modified system gives a physically consistent solution, correctly reproducing the well-known effect of the divergence of static and vibrational temperatures behind the wave front. •A modification of the characteristic relaxation time in the two-temperature gas dynamics is proposed.•A class of self-similar solutions for one-dimensional unsteady flows of a vibrationally excited gas was obtained.•Generalization of the point strong explosion is found.