ID#: 165
Abstract Title: Thermal Explosion in a Droplet-Gas Cloud with Chemical Reaction of General Order
Session Title: Ignition Phenomena
Session Date: 7/31/01
Session Start Time: 8:30 AM
Contributing Author: Goldfarb, I.
Organization: Ben-Gurion University of the Negev
Country: Israel
Authors: V. Bykov, I. Goldfarb, V. Gol'dshtein, J.B. Greenberg
Short Abstract: Theoretical study of the input of oxidizer presence to the phenomenon of thermal explosion in combustible gaseous mixture with evaporating fuel droplets is presented. The suggested physical model is described by four highly non-linear ODEs. The analysis of the mathematical model is performed analytically on the basis of the method of integral manifolds (MIM). The accepted mathematical approach permits to the study of thermal explosion in both fuel rich and fuel lean mixtures. Possible types of dynamical behavior of the system are studied and parametric regions of their existence are determined analytically. It is pointed out that the present model generalizes previous results for fuel lean combustible mixtures, which are a particular case of the current model. Two main types of regimes (conventional explosive and delayed) were uncovered in the fuel rich case. Peculiarities of these dynamical regimes are investigated and their dependence on physical system parameters analyzed. In particular, explicit formulae for the total ignition and delay times are developed and found to agree with the predictions of direct numerical simulations.