Thermal explosion in a hot gas mixture with organic gel fuel droplets
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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.
KeywordsGel fuel droplets Singularly perturbed system of equations Theory of integral manifolds Thermal explosion
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- 1.Brinker CJ, Scherer GW (1990) Sol–gel science. Academic Press, BostonGoogle Scholar
- 2.Natan B, Rahimi S (2001) The status of gel propellants in year 2000. In: Kuo KK, deLuca L (eds) Combustion of energetic materials Begel House, Boca Raton, pp 172–194Google Scholar
- 3.Solomon Y, Natan B (2003) Combustion characteristics of organic-gellant-based gel fuels, In: De Luca L (ed) Rocket propulsion: present and future. Politecnico di Milano, Naples, pp 31.1–31.11Google Scholar
- 4.Gol’dshtein V, Sobolev V (1992) Singularity theory and some problems of functional analysis. AMS Transl Series 2 153:73–92Google Scholar
- 6.Frank-Kamenetskii DA (1969) Diffusion and heat exchange in chemical kinetics, 2nd edn. Plenum Press, New YorkGoogle Scholar