Dynamic response of a plane-symmetrical exothermic reaction center.?sger,An analysis of the dynamic behavior of an idealized, plane-symmetrical exothermic reaction center is presented. The conservation equations for the reaction center are combined and yield a single integral equation expressing a nonlinear transfer function of the system for which the input is provided by a given time profile of the heat released per unit mass while the output gives the pressure pulse it generates under the restriction of plane-symmetrical motion. The solution is governed by a Daumk]hler number. For a given form of the exothermic power pulse profile, the dynamic behavior of the system is completely specified in terms of only this Daumk]hler number and the heat of reaction per unit mass of the combustible medium. Specific solutions are worked out for a set of typical elementary power pulse profiles, and the practical significance of the results is illustrated by their application to the problem of transition to detonation in an explosive gas.
Document ID
19720033268
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Meyer, J. W.
Oppenheim, A. K. (California, University Berkeley, Calif., United States)
Date Acquired
August 6, 2013
Publication Date
January 1, 1972
Subject Category
Thermodynamics And Combustion
Report/Patent Number
AD-764443AIAA PAPER 72-67AFOSR-73-1277TR
Meeting Information
Meeting: American Institute of Aeronautics and Astronautics, Aerospace Sciences Meeting