L'explosion isotherme

The isothermal explosion model of Korobeinikov has been generalized to include the specific heat varying as temperature to the power k. Unlike Korobeinikov the different phases of the motion arc considered. The eventual self-similar solutions only exist for k > −1/2 and resemble that for k = 0 (the Korobeinikov value). For all k ≥ 0 the limiting expansion velocity is given by the von Neumann–Taylor–Sedov result (independent of k) and for k > 0 the internal energy decreases steadily. For k > 1/2 there is first an intermediate detonation phase. For −1/2 < k < 0 the kinetic energy first increases, then decreases, and the expansion law depends on k.