Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model

Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model

We investigate the effect of thermal radiation on the dynamics of a thermal explosion of polydisperse fuel spray with a complete description of the chemistry via a single-step two-reactant model of general order. The polydisperse spray is modeled using a Probability Density Function (PDF). The therm...

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Main Authors: Ophir Navea, Vladimir Gol'dshtein, Yaron Lehavi, Vitcheslav Bykov
Format: Article
Language:English
Published: SAGE Publishing 2011-06-01
Series:International Journal of Spray and Combustion Dynamics
Online Access:https://doi.org/10.1260/1756-8277.3.2.136
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spelling doaj-070cff1311114e73afcbbd3dd1b450632020-11-25T03:07:53ZengSAGE PublishingInternational Journal of Spray and Combustion Dynamics1756-82771756-82852011-06-01310.1260/1756-8277.3.2.13610.1260_1756-8277.3.2.136Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic ModelOphir Navea0Vladimir Gol'dshtein1Yaron Lehavi2Vitcheslav Bykov3 Department of Mathematics, Ben-Gurion University of the Negev, PO Box 653 Beer-Sheva, 84105, Israel Department of Mathematics, Ben-Gurion University of the Negev, PO Box 653 Beer-Sheva, 84105, Israel Department of Physics, The David Yellin Academic College of Education Institute für Technische Thermodynamics, Universität Karlsruhe, (TH) Kaiserstraße 12, D - 76131 Karlsruhe, GermanyWe investigate the effect of thermal radiation on the dynamics of a thermal explosion of polydisperse fuel spray with a complete description of the chemistry via a single-step two-reactant model of general order. The polydisperse spray is modeled using a Probability Density Function (PDF). The thermal radiation energy exchange between the evaporation surface of the fuel droplets and the burning gas is described using the Marshak boundary conditions. An explicit expression of the critical condition for thermal explosion limit is derived analytically and represents a generalization of the critical parameter of the classical Semenov theory. Because we investigated the model in the range where the temperature is very high, the effect of the thermal radiation is significant.https://doi.org/10.1260/1756-8277.3.2.136
collection DOAJ
language English
format Article
sources DOAJ
author Ophir Navea
Vladimir Gol'dshtein
Yaron Lehavi
Vitcheslav Bykov
spellingShingle Ophir Navea
Vladimir Gol'dshtein
Yaron Lehavi
Vitcheslav Bykov
Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
International Journal of Spray and Combustion Dynamics
author_facet Ophir Navea
Vladimir Gol'dshtein
Yaron Lehavi
Vitcheslav Bykov
author_sort Ophir Navea
title Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
title_short Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
title_full Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
title_fullStr Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
title_full_unstemmed Thermal Radiation Effects on Thermal Explosion in Polydisperse Fuel Spray-Probabilistic Model
title_sort thermal radiation effects on thermal explosion in polydisperse fuel spray-probabilistic model
publisher SAGE Publishing
series International Journal of Spray and Combustion Dynamics
issn 1756-8277
1756-8285
publishDate 2011-06-01
description We investigate the effect of thermal radiation on the dynamics of a thermal explosion of polydisperse fuel spray with a complete description of the chemistry via a single-step two-reactant model of general order. The polydisperse spray is modeled using a Probability Density Function (PDF). The thermal radiation energy exchange between the evaporation surface of the fuel droplets and the burning gas is described using the Marshak boundary conditions. An explicit expression of the critical condition for thermal explosion limit is derived analytically and represents a generalization of the critical parameter of the classical Semenov theory. Because we investigated the model in the range where the temperature is very high, the effect of the thermal radiation is significant.
url https://doi.org/10.1260/1756-8277.3.2.136
work_keys_str_mv AT ophirnavea thermalradiationeffectsonthermalexplosioninpolydispersefuelsprayprobabilisticmodel
AT vladimirgoldshtein thermalradiationeffectsonthermalexplosioninpolydispersefuelsprayprobabilisticmodel
AT yaronlehavi thermalradiationeffectsonthermalexplosioninpolydispersefuelsprayprobabilisticmodel
AT vitcheslavbykov thermalradiationeffectsonthermalexplosioninpolydispersefuelsprayprobabilisticmodel
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