Accession Number : ADP004921

Title :   The Stefan Problem of Detonation Theory,

Corporate Author : CORNELL UNIV ITHACA NY DEPT OF THEORETICAL AND APPLIED MECHANICS

Personal Author(s) : Oyediran,A. A. ; Ludford,G. S. S.

Report Date : FEB 1985

Pagination or Media Count : 11

Abstract : A certain model of one-dimensional detonation waves leads to a Stefan problem: the unknown f satisfies Burgers equations on the two sides of a moving discontinuity at which it is given (f, say) and the jump in it derivative (corresponding to the exothermic reaction) is prescribed. An alternative formulation of the problem can be obtained by means of the Hopf-Cole transformation, which replaced the Burgers equations by diffusion - type equations. The problem possesses a steady solution, the discontinuity moving with constant speed and f depending only on distance from it. This solution is stable for a range of the parameter f, and unstable otherwise, as was shown at the First Army Conference, when preliminary results on the subsequent evolution of the instability were presented. The instability has now been reexamined, using three computation schemes on each of the two formulations of the problem, resulting in the more definite conclusions presented here. (Author)

Descriptors :   *DETONATION WAVES, *MATHEMATICAL MODELS, COMPUTATIONS, ONE DIMENSIONAL, STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE