11th Aerospace Sciences Meeting 1973
DOI: 10.2514/6.1973-215
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Ignition analysis of adiabatic, homogeneous systems including reactant consumption

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Cited by 3 publications
(7 citation statements)
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“…Physically, ofcourse, this corresponds to the effect of the vanishing quantity of fuel (a mole fraction of O(e/y) or less), making the rate of heat production very small even though the temperature is very nearly a maximum. This corresponds to a real singularity in the problem, as explicitly indicated by Kassoy (1974) and less clearly so by Hermance (1973). It occurs after the majority of chemical reaction and temperature rise is completed, and is not a consequence of the approximate methods used (by Hermance and Kassoy).…”
Section: Relationship Of Approximate and Exact Solutionsmentioning
confidence: 92%
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“…Physically, ofcourse, this corresponds to the effect of the vanishing quantity of fuel (a mole fraction of O(e/y) or less), making the rate of heat production very small even though the temperature is very nearly a maximum. This corresponds to a real singularity in the problem, as explicitly indicated by Kassoy (1974) and less clearly so by Hermance (1973). It occurs after the majority of chemical reaction and temperature rise is completed, and is not a consequence of the approximate methods used (by Hermance and Kassoy).…”
Section: Relationship Of Approximate and Exact Solutionsmentioning
confidence: 92%
“…which is the general form of the singularity indicated by Kassoy (1974) and Hermance (1973). (3) when combined with equation (8), and representing lo(e) as simply to, indicates that m'…”
Section: This Equation Was Developed By Expanding the Functions Havinmentioning
confidence: 96%
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“…Perhaps a proper description of the ignition stage can be obtained through generalizations of the promising methods of Hermance [7] and Kassoy [8] but this is unclear because as yet those methods have not been developed for problems involving partial differential equations. For procedures extending into the ignition stage or beyond, an ignition criterion different from thermal runaway will have to be developed if comparisons with previous results, such as (39) and (40), are to be made.…”
Section: Discussionmentioning
confidence: 99%