An Analysis of Nonsimilar Problems on Spherical Blast Waves

Abstract

Abstract An approximate analytical method that is valid for the entire propagation regime of a blast wave is established for point explosions. The method is based on an application of the shock ex-pansion method to boundary conditions. The numerical calculations were carried out for spherical flows with constant adiabatic exponent. The results show that the value of the shock decay coefficient gives good agreement with the numerically exact solution by Goldstine and von Neumann. The profiles of the pressure, density, and particle velocity behind the shock were obtained. The solutions show the possible profiles as compared to other existing analyses.