The Subcritical Spatially Homogeneous Explosion; Initiation to Completion

Kassoy, D. R.; Poland, J.

doi:10.1080/00102207508946693

Cited by 16 publications

(6 citation statements)

References 10 publications

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“…This solution diverges in a certain parameter region, so Semenov's criterion can be applied. Some authors studied the solution sensitivity at the limit of large activation energy by means of asymptotic analyses.…”

Section: Critical Condition For Thermal Explosionmentioning

confidence: 99%

The critical condition for thermal explosion in an isoperibolic system

2017

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Knowing the conditions for a system to undergo thermal explosion is of utmost importance for many applications. A critical condition that accounts for reactant consumption and covers most practical situations, including low activation energy reactions is presented. Our solution applies to cylindrical reactors of any radius to height ratio. In the case of films, it is shown that thermal explosion is virtually impossible. A new criterion to define the boundary of thermal run- away based on heat balance is introduced. This new definition of criticality allows us to check the accuracy of the non- stationary model to describe the critical condition. The nonstationary model is the base of most approache

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Section: Critical Condition For Thermal Explosionmentioning

confidence: 99%

The critical condition for thermal explosion in an isoperibolic system

2017

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“…The ambient temperature now is the adiabatic flame temperature and is therefore much hotter. Homogeneous ignition theory can be used to assess the reactivity of the ambiance (Hermance, 1975;Kassoy and Poland, 1975).…”

Section: Discussionmentioning

confidence: 99%

Droplet Combustion in a Reactive Environment

Botros

Law

Sirignano

1980

Combustion Science and Technology

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The transient processes of evaporation, ignition, and combustion of a fuel droplet in a hot, reactive fuel-oxidizer environment simulating the spray interior are studied numerically, with emphasis on the relative importance of diffusional burning in the droplet vicinity and premixed burning in the ambience. It is shown that for a fuel-lean environment diffusional burning is generally possible and is initiated rapidly, whereas for a fuel-rich environment only premixed burning is possible. For a sufficiently reactive environment one of the reactants is rapidly depleted such that during most of the droplet lifetime the environment is really nonreactive. The present numerical study yields much physical insight useful for further analytical modeling efforts. A new transient process, involving the need to build up the fuel vapor concentration in the droplet vicinity from an initial state of low concentration, has also been identified to be important during droplet combustion and warrants further study.

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“…In order to achieve the objective of predicting, from first principles, the macroscopically observable front speed reported by Feuerbacher, it is necessary to include ratedependent source terms in the energy equation. This can be done in analogy with methods used to describe flame propagation in a high-activation-energy premixed gas (Buckmaster & Ludford 1983;Kassoy 1975a, b;Kassoy & Poland 1975;Kassoy & Williams 1968;Williams 1985). The analogy is useful because a flame (solidification) front is a source of combustion (latent) heat release which is conducted forward into a relatively cold unreacted (undercooled) material.…”

Section: Introductionmentioning

confidence: 99%

The effect of finite–rate heat release on the solidification of an undercooled pure liquid

Norris

Kassoy

1998

Proc. R. Soc. Lond. A

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A mathematical model is formulated to describe the effect of finite-rate heat release on solidification in an undercooled pure liquid and to predict the macroscopic propagation speed of a solidification front through the bulk material. The problem is formulated in terms of continuum equations that describe heat and mass transport in a volumetrically averaged mixture of solid and liquid. A relatively thin phase transformation region, called the solidification zone, exists between thicker regions of pure liquid and solid. The solidification zone is examined on a length scale larger than any microstructural detail, yet smaller than macroscopic thermal conduction length scales in the pure liquid and solid regions. The continuum equations used in this 'mesoscale' model contain source terms representing the volumetrically averaged finite-rate phase-transformation process occurring within the solidification zone. Solutions are obtained for a source term of the Arrhenius type, derived from an application of nucleation theory. Front speed variation with degree of undercooling is found to be quantitatively similar to that in relevant experiments in pure metals.

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The Subcritical Spatially Homogeneous Explosion; Initiation to Completion

Cited by 16 publications

References 10 publications

The critical condition for thermal explosion in an isoperibolic system

The critical condition for thermal explosion in an isoperibolic system

Droplet Combustion in a Reactive Environment

The effect of finite–rate heat release on the solidification of an undercooled pure liquid

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