Laws of ignition of condensed explosive systems with perfect heat transfer at the surface and allowance for burnup

Averson, A. É.; Barzykin, V. V.; Мержанов, А. Г.

doi:10.1007/bf00828695

Cited by 15 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Guidance concerning the accuracy to be expected from the asymptotic expansion may be sought by comparing the asymptotic results with those obtained from numerical Table 1 for the zero-flux time at 0, = 10 and at 0, = 25, where (39) and (40) are claimed to be good, reveal differences between the correlation and the numerical integration of [6] that are on the order of 15%, considerably greater than the stated error of the correlations [5]. Results of the four term expansion for f a with a = 0 lie between those of the two numerical studies but quite close to the results of [6].…”

Section: Results and Comparisons The Results Having Greatest Interesmentioning

confidence: 99%

“…To account for effects of reactant consumption with a first-order reaction, (3) and (4) s /(Eq), a measure of the magnitude of the effect of reactant consumption, and the Lewis number L, the ratio of heat to reactant diffusivities. This problem was studied previously for nondiffusive reactants (L = oo) by numerical integration of the partial differential equations [5]. For L = oo, the last boundary condition in (A2) is deleted; for finite L this condition represents vanishing of the diffusive flux of reactant at the surface.…”

Section: Discussionmentioning

confidence: 99%

“…which may be substituted into the first equation, giving a two-point boundary-value problem for a second-order ordinary differential equation for i/^. Previously reported [5] correction factors for reactant consumption in (39) and (40) are (1 + e F) and (1 + 8e 2 r 3/2 ), respectively. The present considerations Suggest that the effect may be larger than these factors would indicate.…”

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Ignition of a Reactive Solid Exposed to a Step in Surface Temperature

Liñán¹,

Williams²

1979

SIAM J. Appl. Math.

View full text Add to dashboard Cite

Abstract. The title problem is classical in ignition theory. Here it is solved by an asymptotic analysis in which the nondimensional activation energy is treated as a large parameter. Inert and reactive zones are identified, and a temperature peak develops in the latter during a stage of transition to ignition. A criterion of thermal runaway yields a formally correct asymptotic expansion for the ignition time which agrees with results of numerical integrations if the activation energy is sufficiently large.

show abstract

Section: Results and Comparisons The Results Having Greatest Interesmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Ignition of a Reactive Solid Exposed to a Step in Surface Temperature

Liñán¹,

Williams²

1979

SIAM J. Appl. Math.

View full text Add to dashboard Cite

show abstract

“…In the cited studies, the burnout of the RM was not taken into account [4,[6][7][8] or was considered in a limited range of system parameters [2,3,5]. At the same time, during high-temperature ignition, as shown by Averson et al [9] for the problem of ignition by a hot wall, the burnout of the RM near the hot surface can result in a change in the initiation conditions, leading to the need for an additional determination of the ignition conditions. In the case of high-temperature ignition by a hot inert body with a finite heat reserve, the burnout of the RM can have a significant effect on both the initiation regimes and the critical parameters of the system.…”

mentioning

confidence: 99%

“…This condition corresponded to a qualitative change in the behavior of the temperature of the hot surface: after the initial decrease due to heat transfer to the RM, the surface temperature of the inert body begins to increase due to the heat of chemical reactions in the RM. However, as shown in [3,9], for hightemperature ignition regimes, the last fourth criterion is unacceptable since, near the hot surface of the particle, the reactive material burns out immediately upon contact. Because the present study deals with regimes involving the burnout of the reactant, the last criterion, according to the conclusion in [3], was not used further.…”

mentioning

confidence: 99%

High-temperature ignition of a reactive material by a hot inert particle with a finite heat reserve

Burkina

Mikova

2009

Combust Explos Shock Waves

View full text Add to dashboard Cite

The initiation of a reactive material by an inert particle at a high initial temperature and with a limited heat reserve is studied numerically. The possibility of using known ignition criteria to study the process are analyzed. The effect of burnout on hightemperature ignition by a particle with a limited heat reserve is studied. Four regimes of the process and the critical parameters separating these regimes are determined.Investigation of the initiation of reactive materials (RMs) by a hot inert inclusion involves the solution of questions of fire and explosion safety of various technological processes and the sensitivity of materials to external nonthermal actions. For example, during welding, an explosion hazard can occur when heated particles comes in contact with a material capable of explosive transformation. Local hot spots arise during radiation absorption by optical inhomogeneities present in a RM transparent to radiation or during adiabatic compression of gas inclusions under impact [1].The theoretical investigation of the thermal part of the problem reduces to solving the problem of ignition of a RM by a hot inclusion with a finite heat reserve. The ignition of a RM by hot inert bodies of various shapes have been studied numerically [2][3][4][5][6][7]. Vilyunov and Kolchin [2] considered the case of ignition by a hot inert plate with a low thermal conductivity [2]. The critical conditions (limiting plate width) and ignition parameters with an insignificant effect of the burnout of the RM were determined by approximate theoretical solution and numerically. Grishin and Subbotin [3] considered the opposite limiting case of ignition of a RM by a high-conducting hot inert body of symmetrical shape. The low-temperature and high-temperature ignition regimes and conjugate heat transfer between the hot inert body and RM were studied. Approximation formulas were determined that describe the critical particle size separating the regimes of ignition of the 1 Tomsk State University, Tomsk 634050; roza@ftf.tsu.ru. RM and gradual cooling of the inert body. Gol'dshliger et al. [4] and Loskutov and Sandrykina[5] studied the ignition by a hot inert particle of symmetrical shape taking into account the particle temperature distribution. The critical particle size and the effect exerted on it by the temperature distribution in an inert particle were determined. The heat exchange between an inert particle and a RM and heterogeneous chemical reactions on the inert particle surface were studied in [5]. Kuzntesov et al. [6,7] performed a numerical analysis of the ignition of a condensed material by a particle heated to high temperatures taking into account twodimensional heat transfer in the neighborhood of the region of contact of the particle with the material. An asymptotic analysis of the critical conditions of ignition of a material by a body with a finite heat reserve was performed by Berman and Ryazantsev [8]. In the cited studies, the burnout of the RM was not taken into account [4,[6][7][8] or was considered in a l...

show abstract

Theory of the Linear Pyrolysis of Condensed Materials

Shteĭnberg

Fast Reactions in Energetic Materials

View full text Add to dashboard Cite

Laws of ignition of condensed explosive systems with perfect heat transfer at the surface and allowance for burnup

Cited by 15 publications

References 0 publications

Ignition of a Reactive Solid Exposed to a Step in Surface Temperature

Ignition of a Reactive Solid Exposed to a Step in Surface Temperature

High-temperature ignition of a reactive material by a hot inert particle with a finite heat reserve

Theory of the Linear Pyrolysis of Condensed Materials

Contact Info

Product

Resources

About