1975
DOI: 10.1080/00102207508946693
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The Subcritical Spatially Homogeneous Explosion; Initiation to Completion

Abstract: In this paper a complete solution (initiation to completion) for the sub-critical spatialIy homogeneous reaction has been developed. Complete reaction consumption is included. The solution is in two parts: (I) the rapid temperature rise (2) the subsequent decay back to initial conditions. The two parts are joined using the method of matched asymptotic expansions. The complete temperature-time history is displayed graphicalIy, to show the dependence of the temperature variation and fuel consumption on reaction … Show more

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Cited by 16 publications
(6 citation statements)
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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%
“…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 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%
“…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%