Unstable combustion modes of gasless systems

Maksimov, Yu. M.; Мержанов, А. Г.; Pak, A. T.; Kuchkin, M. N.

doi:10.1007/bf00761208

Cited by 75 publications

(29 citation statements)

References 3 publications

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“…With a further increase in Λ, the velocities of the combustion waves increase for all values of R 1 (curves [4][5][6]. It is of interest that the curves for Λ = 0.004 and 10 almost coincide for R 1 < 24.…”

Section: Resultsmentioning

confidence: 94%

“…Zel'dovich [13] analytically determined that the burning rate under conditions of heat removal is lower than the adiabatic burning rate by less than a factor of √ e. Dilution of the mixture of the original reagents by an inert additive is known to reduce the burning temperature because of lower effective heat release and, correspondingly, to reduce the wave propagation velocity. This circumstance was used, for instance, in [3,4] during studying unsteady combustion modes, because a decrease in burning temperature can shift the process to the zone of parameters where the plane front is unstable.…”

Section: Resultsmentioning

confidence: 99%

“…The value of α st was found in numerical studies of a onedimensional combustion wave by Shkadinskii et al [2] who demonstrated that a plane steady-state front is unstable under adiabatic conditions with α st < 1. Threedimensional unsteady modes were first obtained in experiments with filtration combustion [10] and later with "gasless" combustion [3,4]. The results of numerical studies of three-dimensional unsteady modes of combustion of a solid cylindrical specimen can be found in [5][6][7][8].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Numerous interesting effects were observed in studying simple models of the medium where the kinetics is characterized by the simplest first-order reaction and heat transfer is characterized by one value of thermal diffusivity. In addition to steady-state combustion waves propagating with a constant velocity, the effects observed were front autooscillations [2], spinning waves [3][4][5][6], and chaotic flame propagation [7,8]. Solid-state combustion in thermally and chemically heterogeneous systems involves new effects that would be of interest to study.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of solid-state combustion in thermally and chemically heterogeneous media

Ivleva

Мержанов

2007

Combust Explos Shock Waves

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A thermally and chemically heterogeneous medium is modeled by a set of cylinders pressed from a mixture of solid reagents with coaxially aligned cylindrical rods made from an inert material. The change in velocity of combustion waves propagating over one cylinder is studied by numerical methods under the assumption that there is no heat release from the cylinder surface. The mean velocity of the combustion front in the specimen is shown first to decrease and then to increase with increasing thermal conductivity of the inert rod. Spinning waves are obtained in the range of low velocities of the combustion front. The laws of variations of the maximum temperature in the combustion front are determined. It is shown that the inert rod may serve as a heat sink from the hot charge mixture, may be manifested as dilution by an inert component, enhance heat recuperation, and increase the combustion-wave velocity. Introduction of the inert rod may either destabilize combustion-wave propagation in the region of a stable plane front or stabilize the combustion wave in the range of parameters where the plane front is unstable.

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Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling of solid-state combustion in thermally and chemically heterogeneous media

Ivleva

Мержанов

2007

Combust Explos Shock Waves

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“…The main features of such modes in Ž gasless systems have been widely studied experimentally cf. Merzhanov et al, 1973;Maksimov et al, 1981;Zhang and . Munir, 1992 .…”

Section: žmentioning

confidence: 95%