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

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.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0816447

Entities

People

  • C. K. Thornhill

Organizations

  • AGARD

Tags

DTIC Thesaurus Topics

  • Ballistics
  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • ballistics.

Technology Areas

  • Space