TRANSITION FROM THE SEDOV–TAYLOR BLAST WAVE SOLUTION UP TO THE SOUND WAVE

Abstract

In the case of a spherical blast wave described by the Sedov–Taylor model in an ideal gas, we apply the Vashy–Buckingham theorem (Pi theorem) to take into account the pressure of the medium at rest, and consequently the internal energy of the gas at rest. We obtain a single formula which contains the full time behavior of the explosion from the very beginning (Sedov–Taylor solution) up to the sound wave, therefore describing analytically the transition phase from t = 0 until t → ∞.