Deflagration-to-detonation transition in an unconfined space: Expanding hydrogen-oxygen flames

Koksharov, Andrey; Kagan, Leonid; Sivashinsky, G. I.

doi:10.1016/j.proci.2020.08.051

Cited by 12 publications

(8 citation statements)

References 16 publications

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“…Instability of flames is investigated by different authors and in different formulations of the stability problem [12,13], [17]. It is researched also in connections with deflagration-to-detonation transition in homogeneous (liquid and gas) media [19,20], [21] and in heterogeneous (dust) media [22], but these scientific studies are based on numerical simulations of premixed gas combustion. Such numerical simulations are always connected with finite perturbations, while stability of flames should be researched in relation to small perturbations (Darrieus-Landau instability).…”

Section: Literature Reviewmentioning

confidence: 99%

“…The question of what kind of explosion (deflagration or detonation) can take place as a result of the development of flame instability has generally been little studied [10,16], [23]. Most of researchers of combustion-to-explosion transition are focused on deflagration-to-detonation transition [19,20], [21,22]. The topic of transition from slow combustion to the deflagration explosion is practically not considered separately from the issue of deflagration-todetonation transition in the modern scientific literature.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Thus analytical estimates for the explosive induction distance (23) and the time of the shock wave formation (24) are obtained. Calculating by these algebraic formulae is very simple and needs a minimal computer time, but such calculating does not describe the deflagration-to-explosion transition phenomena and its nature in detail as it is done in [19,20], [21]. But a detailed analysis of the transition of slow combustion to explosion is just not required for creating of DSS on the explosion safety problems.…”

Section: %mentioning

confidence: 99%

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Mathematical and information models of decision support systems for explosion protection

Volkov¹

2022

AAIT

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This paper is dedicated to the issue of mathematical and information modeling of the combustion-to-explosion transition that makes it possible to create an adequate mathematical and information support for decision support systems (DSS) for automatedcontrol of explosive objects.A simple mathematical model for the transition of combustion to explosion is constructed. This model is based on solving mathematical problems of the hydrodynamic stability of flames and detonation waves. These problems are reduced to solving eigenvalue problems for linearized differential equations of gas dynamics. Mathematical model is universal enough. It provides opportunities for making simple analytical estimates for the explosive induction distance and the time of the shock wave formation. The possibilities of the transition of slow combustion to both a deflagration explosion and a detonation wave are considered. Theoretical estimates of the explosive induction distance and the time of the combustion-to-explosion transition are obtained. These estimates are expressed by algebraic a formula, the use of which save computer resources and does not require significant computer time. The application of fuzzy logic makes it possible to use the proposed mathematical model of the combustion-to-explosion transition for real potentially explosive objects in industry and transport.Mathematical models of potentially explosive objects are based on combination of the fuzzy logic and classical mathematical methods. These models give possibilities for creating corresponding information models. Thus mathematical and information support of DSS for automated control systems of explosive objects is developed. The main advantage of these DSS is that it makes it possible for decision makers to do without experts. In particular, developed mathematical and information models create the base forsoftware of DSS for explosion safety of grain elevators. Appropriate software is developed and some calculations are performed. These calculations are useful not only from the point of view of testing the proposed method of mathematical modeling of a grain elevator as a potentially explosive object or testing the software itself, but also from the point of view of the grain elevator designing.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: %mentioning

confidence: 99%

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Mathematical and information models of decision support systems for explosion protection

Volkov¹

2022

AAIT

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“…The enhancement of the flame speed in unconfined media is typically caused by instability or turbulence-induced corrugations of the reaction zone. The impact of corrugations may be accounted for even within the framework of a one-dimensional model by merely replacing the reaction rate term W by Σ 2 W with Σ being the degree of flame front folding [2,5,6,8,9,10,12]. The Σ 2 -factor is suggested by the classical Zeldovich-Frank-Kamenetskii theory (see Ref.…”

Section: Formulationmentioning

confidence: 99%

“…There is a general consensus that stellar explosions are manifestations of the deflagration-to-detonation transition of an outward propagating self-accelerating thermonuclear flame subjected to instability/ turbulence-induced corrugations. A similar problem arises in unconfined terrestrial flames where a positive feedback mechanism leading to the pressure runaway has been identified [2][3][4][5][6][7][8][9][10][11][12]. As has been recently shown [13], there is no substantial difference between terrestrial and stellar DDT events as far as physical mechanisms are concerned.…”

Section: Introductionmentioning

confidence: 98%

Modeling of thermonuclear fusion flames : transition to detonation

Gordon,

Kagan,

Sivashinsky

2021

Preprint

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The paper is concerned with identification of the key mechanisms controlling deflagration-todetonation transition in stellar medium. The issue of thermal runaway triggered by positive feedback between the advancing flame and the flame-driven precompression is discussed in the framework of a one-dimensional flame-folding model. The paper is an extension of the authors' previous study dealing with the non-stoichiometric fusion, f uel → products, kinetics (Phys.Rev.E, 103( 2021)) over physically more relevant, f uel + f uel → products, kinetics. Despite this change the runaway effect endures. The transition occurs prior to merging of the flame with the flame-supported precursor shock, i.e. the pretransition flame does not reach the threshold of Chapman-Jouguet deflagration.

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Three-dimensional structure of freely-propagating flame prior to deflagration-to-detonation transition

et al. 2023

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Deflagration-to-detonation transition in an unconfined space: Expanding hydrogen-oxygen flames

Cited by 12 publications

References 16 publications

Mathematical and information models of decision support systems for explosion protection

Mathematical and information models of decision support systems for explosion protection

Modeling of thermonuclear fusion flames : transition to detonation

Three-dimensional structure of freely-propagating flame prior to deflagration-to-detonation transition

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