Self-similar isentropic implosions

Abstract

The self-similar compression of an isentropic spherical gas pellet is analyzed for large values of the ratio of the final to initial densities. An asymptotic analysis provides the solution corresponding to a prescribed value of the final density when it is high. In addition an approximate solution is given when the specific heat ratio, Y, is not constant. The time evolution of the pressure on the outer surface leading to the self-similar solution, is calculated for large density ratios