Accession Number : ADA118150

Title :   A Fundamental Mathematical Theory for Thermal Explosions in Rigid Solids and in Gases.

Descriptive Note : Final rept. 1 May 79-30 Apr 82,


Personal Author(s) : Bebernes,J ; Kassoy,D R

PDF Url : ADA118150

Report Date : 08 Jul 1982

Pagination or Media Count : 18

Abstract : A study has been made of the evolution of spatially variable thermal explosion processes occurring in finite systems. Mathematical models have been developed for both rigid systems and for combustible, compressible gas mixtures. Purely thermal processes occur in the former. Gasdynamic events play a significant role in the latter. Solution development is carried out in terms of asymptotic expansions valid for the limit of high activation energy. Physical processes occurring on disparate time length scales are systematically delineated. Spontaneously ignited reaction processes are shown to evolve into highly localized hot spots in both rigid and gaseous systems. In the latter case gas expansion processes cause a mechanical response in the system that leads to acoustic fields and significant gasdynamical processes. Detailed solutions are presented for symmetrical systems (slabs, cylinders and spheres). More general systems are studied by using qualitative analytical tools to ascertain fundamental solution properties like bounds on trajectories, estimates of escape time (thermal runaway) and effects of compressibility on thermal runaway. (Author)

Descriptors :   *Explosion effects, *Exothermic reactions, *Combustion products, Mathematical models, Thermomechanics, Explosive forming, Gas dynamics, Solids, Gases, Activation energy, Mixtures

Subject Categories : Explosions
      Combustion and Ignition

Distribution Statement : APPROVED FOR PUBLIC RELEASE