Excerpt from Spherical, Cylindrical and One-Dimensional Flows of Compressible FluidsRelatively few boundary value problems involving spherical or cylindrical flows of compressible fluids have been solved exactly. In order to solve more problems of this type, particularly those involving variable entropy, we have investigated the flow differential equations, at first without regard to initial or boundary conditions. In this way a class of non-isentropic solutions of the differential equations, depending upon an arbitrary function, has been obtained. Then, in the second phase of the investigation, the arbitrary function is adjusted to satisfy particular initial or boundary conditions. In this way the free expansion of a sphere of gas into a vacuum has been treated, as well as the propagation of finite and strong shocks in variable media. The latter treatment includes Primakoff's point-blast solution as a special case.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.