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Atomization and Sprays
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ISSN Imprimir: 1044-5110
ISSN En Línea: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.v21.i1.50
pages 69-85

The Delay Phenomena in Thermal Explosion of Polydisperse Fuel Spray: Asymptotic Analysis

OPhir Nave
Ben-Gurion University of the Negev
Vladimir Gol'dshtein
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
Eitan Dan
Elbit Systems, Ltd., The International of Defense Electronics Company, Haifa 31053, Israel

SINOPSIS

In this paper we investigate the problem of thermal explosion in a two-phase polydisperse combustible mixture. The model for the radiative heating of droplets takes into account the semi transparency of the droplets. The numerical results of the analysis are applied to the modeling of thermal explosion in diesel engines. The current work presents a new, simplified model of the thermal explosion in a combustible gaseous mixture containing vaporizing fuel droplets of different radii (polydisperse). The polydispersity is modeled using a Probability Density Function (PDF) that corresponds to the initial distribution of fuel droplets. An explicit expression of the critical condition for thermal explosion limit is derived analytically and represent a generalization of the critical parameter of the classical Semenov theory.


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