Equations including source mass are presented for strong spherical blasts in cases where the source mass is not negligible. Analytic solutions are obtained for shock speed, position, and overpressure as a function of radius. Approximations similar to those used in the Taylor-Sedov approximate theory are employed. Shock positions as functions of time are obtained via evaluation of incomplete elliptic integrals. Sample calculations are presented for a laser-initiated 1-MJ (debris energy) pellet microexplosion, and compared to Taylor-Sedov approximate theory solutions.
ASJC Scopus subject areas
- Physics and Astronomy(all)