Accession Number : AD0262714

Title :   AN APPROXIMATE SOLUTION OF THE FLOW WITHIN THE REACTION ZONE BEHIND A SPHERICAL DETONATION WAVE IN TNT

Descriptive Note : Doctoral thesis,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : RUDLIN,L.

Report Date : MAY 1961

Pagination or Media Count : 58

Abstract : The hydrodynamic equations for one-dimensional spherically-symmetric flow are coupled to the chemical reaction kinetics to describe the nonisentropic flow within the reaction zone in the solid explosive TNT. The explosive is considered to be composed of grains which begin to burn when excited by the shock wave heading the detonation and continue to burn throughout the reaction zone. By neglecting certain partial derivatives a set of ordinary differential equations describing the pressure, particle velocity, density, and the shock-front velocity is obtained. Simultaneous solution of these equations, plus certain other algebraic equations, using the IBM-704 computer provides numerical values for the hydrodynamic variables within the reaction zone. These values indicate that although the spherical-detonation-wave values approach the plane-waves as the detonation moves through the spherical charge, the spherical-wave behavior is basically different from the planewave behavior. Decay rates are smaller for the spherical detonation; the burning is completed at the Chapman-Jouguet zone only at infinity; and infinite derivatives of the hydrodynamic variables are found at the end of the reaction zone.

Descriptors :   *DETONATION WAVES, *FLUID FLOW, *HYDRODYNAMICS, *TNT, AIRBURST, CHEMICAL REACTIONS, DENSITY, DETONATIONS, DIFFERENTIAL EQUATIONS, EQUATIONS OF STATE, EXPLOSIVES, MATHEMATICAL ANALYSIS, PRESSURE, PROPAGATION, SHOCK WAVES, SPHERES, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE