Special characteristics of nonisothermal processes in systems with parallel reactions with linear heating

Gontkovskaya, V. T.; Ozerkovskaya, N. I.; Barzykin, V. V.; Pestrikov, S. V.

doi:10.1007/bf00786111

Combust Explos Shock Waves

1978

DOI: 10.1007/bf00786111

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Special characteristics of nonisothermal processes in systems with parallel reactions with linear heating

V. T. Gontkovskaya¹,

N. I. Ozerkovskaya²,

V. V. Barzykin³

et al.

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1980

1984

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Cited by 3 publications

(3 citation statements)

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“…Attempts have recently been made to analyse the ignition phenomena of twocomponent systems on the lines of the Semenov and the Frank-Kamenetskii models [6][7][8][9][10]. These methods have been applied successfully to determine, analytically [6][7][8] as well as numerically [9][10][11][12], the self-heating characteristics of systems involving two parallel exothermic reactions as a function of the ratio of the activation energies, the adiabatic temperature rise due to the minor component, and the ratio of the rates of the two reactions.…”

mentioning

confidence: 98%

“…These methods have been applied successfully to determine, analytically [6][7][8] as well as numerically [9][10][11][12], the self-heating characteristics of systems involving two parallel exothermic reactions as a function of the ratio of the activation energies, the adiabatic temperature rise due to the minor component, and the ratio of the rates of the two reactions. In these analyses, which pertain mainly to static temperature conditions, i.e.…”

mentioning

confidence: 98%

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Thermal ignition behaviour of ammonium perchlorate in presence of fuel-rich compounds

Sundararajan

Jain

1983

Journal of Thermal Analysis

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The thermal ignition behaviour of ammonium perchlorate has been investigated in the presence of fuel-rich compounds such as tetramethylammonium perchlorate, trimethylammonium nitrate, carbon and cellulose. The ignition characteristics, as studied by differential thermal analysis, have been found to be strongly influenced by self-decomposition and other physicochemical properties of the additives. For a simple system, an analytical model proposed on the basis of the coupling of two exothermic decomposition reaction kinetics and a heat-balance equation, appears to explain to some extent the observed trend in peak ignition temperature when the composition is varied. The salient features of the analysis, as regards its application to fuel-oxidizer interactions in general, have been pointed out.The importance of thermal ignition studies on condensed fuel-oxidizer systems arises mainly because of their extensive application in the field of propellants and explosives. Of the condensed systems, the mixtures involving ammonium perchlorate (AP) are of special interest due to their wide use in solid propellants. The thermal ignition behaviour of AP is known to be modified in the presence of catalysts, impurities and additives [1]. A systematic study of the differential thermal analysis (DTA) of AP in the presence of structurally similar, fuel-rich compounds, viz. methylammonium perchlorates (MAPs), was recently carried out in our laboratory [2]. It was observed that although AP shows two exotherms due to partial and complete decomposition at around 300 ~ and 400 ~ respectively [1] in DTA, it ignites in asingle step at around its partial decomposition temperature in the presence of small amounts of mono-, di-, tri-or tetramethylammonium perchlorate. Interestingly, the critical concentration of a MAP needed to cause ignition in a single step corresponds to a unique composition of the mixture, expressed in terms of its elemental stoichiometric coefficient, ~e [3]. However, some of the features in the DTA of the mixtures of AP and tetramethylammonium perchlorate (TMAP), such as the shift of the terminal exotherm to lower temperatures as a function of concentration, were not clearly explained.

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mentioning

confidence: 98%

mentioning

confidence: 98%

Thermal ignition behaviour of ammonium perchlorate in presence of fuel-rich compounds

Sundararajan

Jain

1983

Journal of Thermal Analysis

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“…Most of their results, however, remained in implicit form. Gontkovskaya et al (1978) also contributed and in 1979Zolotoko & Klyachko (1979 considered both critical ignition and critical extinction when parallel, exothermic reactions occurred heterogeneously a t a gas-solid interface.…”

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confidence: 99%

Theory of thermal explosions with simultaneous parallel reactions I. Foundations and the one-dimensional case

Boddington

Gray

Wake

1984

Proc. R. Soc. Lond. A

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Many real, exothermic systems involve more than one simultaneous reaction. Even when they are chemically independent, interactions must arise through their several responses to the collective generation of heat. A simple and unifying approach is possible to the behaviour of such systems below and up to criticality. It introduces a communal activation energy E as the basis for dimensionless quantities ( θ, δ, ϵ and so on) but otherwise involves only familiar ideas from basic thermal explosion theory. The definition of E is E = RT 2 d (In Z )/d T , where Z = Ʃ Z i . Here, Z is the rate of energy release per unit volume (the power density) by the whole system and Z i is the contribution of the constituent i . This enables us to define and use the conventional dimensionless parameter δ for the whole system and for its constituent reactions. We illustrate affairs by considering a pair of concurrent, exothermic reactions; heat is transferred solely by conduction towards the faces (temperature T a ) of an infinite slab of thickness 2 a and conductivity k . For a constituent reaction ( i = 1, 2 here) δ i = ( Ea 2 / k RT 2 a ) Z i ( T a ) and for the whole system δ = δ 1 + δ 2 (+...) for two (or more) reactions. We find that the condition δ > δ cr guarantees instability, where δ cr is always less than 0.878. The bounds 0.65 < δ cr < 0.878 are good enough for a substantial range of relative sizes of activation energy 0.2 < E 1 / E 2 < 5. We also pursue the problem numerically and present solutions for critical δ and critical central temperature excess over the whole composition range for a pair of simultaneous exothermic reactions.

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Progress of sequential reactions under linear heating conditions

Gontkovskaya¹,

Ozerkovskaya²,

Barzykin³

et al. 1980

Combust Explos Shock Waves

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Special characteristics of nonisothermal processes in systems with parallel reactions with linear heating

Cited by 3 publications

References 2 publications

Thermal ignition behaviour of ammonium perchlorate in presence of fuel-rich compounds

Thermal ignition behaviour of ammonium perchlorate in presence of fuel-rich compounds

Theory of thermal explosions with simultaneous parallel reactions I. Foundations and the one-dimensional case

Progress of sequential reactions under linear heating conditions

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