Accession Number : AD0816447

Title :   A NEW SPECIAL SOLUTION TO THE COMPLETE PROBLEM OF THE INTERNAL BALLISTICS OF GUNS,

Corporate Author : ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRAN CE)

Personal Author(s) : Thornhill, C. K.

Report Date : 1966

Pagination or Media Count : 44

Abstract : A new special solution is given to the complete problem of Gun Internal Ballistics, of which Pidduck's (1922) special solution to Lagrange's Ballistic Problem is a simple special case. The solution is special in the sense that it is a similarity solution, in which the essential space-variable is separated from the time variable, and so it is derived by solving ordinary rather than partial differential equations. The restrictive assumptions on which the new solution is based are very few indeed. There are three scale-factors and seven modelling parameters in the general solution obtained, and two numerical examples are given for widely differing families of Internal Ballistics, which illustrate the salient features of the solution.

Descriptors :   *GUNS), (*INTERIOR BALLISTICS, EQUATIONS OF MOTION, DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRALS, BOUNDARY VALUE PROBLEMS, GUN BARRELS, PRESSURE, PROPELLANTS, EFFICIENCY, MATHEMATICAL ANALYSIS, VELOCITY, TRANSFORMATIONS(MATHEMATICS).

Subject Categories : Ballistics

Distribution Statement : APPROVED FOR PUBLIC RELEASE