Thermal explosion in a hot gas mixture with organic gel fuel droplets

Autor: Vladimir Gol'dshtein, J. Barry Greenberg, Igor Goldfarb, Ann Zinoviev
Rok vydání: 2006
Předmět:
Zdroj: Journal of Engineering Mathematics. 56:129-142
ISSN: 1573-2703
0022-0833
DOI: 10.1007/s10665-006-9068-8
Popis: Recent experimental evidence has uncovered the peculiar behavior of certain gel droplets which, under appropriate ambient thermal conditions, evaporate and burn in an oscillatory fashion. In this work a preliminary foray is made into the theoretical analysis of the nature of the evolution of a hot gas mixture containing organic gel fuel droplets with oscillatory evaporation within the context of thermal-explosion theory. The problem is modeled as a system of highly nonlinear singularly perturbed ordinary differential equations. Non-dimensionalization of the equations enables identification of the parameters that play a major role in determining the dynamical regimes of the system of equations. The method of integral manifolds is exploited for the analysis and it is found, that for certain parametric regions, the system exhibits new dynamical behavior that is quite different from that found for conventional liquid droplets.
Databáze: OpenAIRE
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