A procedure for calculating the interior ballistics of gun firings by numerically integrating finite difference equations representing the partial differential equations appropriate to the dynamics of the propellant gas. A 5-in. 54-caliber naval gun is used as an example. Starting conditions for the integration procedure are determined by assuming that the shell begins to move as soon as it overcomes the resistance of the engraving band at a gas pressure of 400 bars. To obtain a best fit using the "isothermal solution" described by Corner, the burn rate must be twice the experimental value of .025 cm/ (sec bar). The new method leads directly to a reproduction of experimental results, and with only a small adjustment of the burn-rate parameter, gives the details of the gas dynamics along the gun barrel, and is readily modifiable to account for small corrections such as heat loss and friction. (See also RM-6127.)
This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.