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Marshakov, V. N.; Istratov, A. G.; Пучков, В. М.

doi:10.1023/a:1024791006499

Cited by 12 publications

(3 citation statements)

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“…The high‐speed videos (available in the Supporting Information) of the reaction waves also show that in some cases combustion behind the main wave front may be interrupted until the arrival of the next transverse wave. The reason for the emergence of the transverse wave may be related to the combustion wave being spatially unstable 32. This interrupted combustion pattern may also be responsible for the large oscillations seen in the voltage.…”

Section: Resultsmentioning

confidence: 99%

Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

Walia

Weber

Latham

et al. 2011

Adv Funct Materials

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Section: Resultsmentioning

confidence: 99%

Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

Walia

Weber

Latham

et al. 2011

Adv Funct Materials

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“…Moreover, the main combustion model of these studies is a model in which solid fuel, as a result of decomposition, passes directly into the gas phase and then instantly burns [19]. However, the multi-dimensionality of the solid-fuel combustion process is quite obvious and experimentally proved [20,21], which makes it necessary to study the hydrodynamic sta-bility of the combustion front to small multi-dimensional perturbations.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Finally, small perturbations in the viscous liquid phase area "1" are described by the equations (15), (19) and (20).…”

Section: Fig 1 Stationary Solid Fuel Combustion Complexmentioning

confidence: 99%

A theoretical study of stability of solid fuel burning with a twophase gasification area

Волков

Makoyed

Loboda

et al. 2020

EEJET

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Theoretically, the combustion stability of solid fuel, which during the combustion process is decomposed according to the "solid phase-liquid phase-gas" scheme, is investigated. The physical and mathematical models for the propagation of small perturbations of combustion are constructed. The medium in all areas of combustion and in combustion products is assumed to be incompressible, and the viscosity of the fuel in the liquid phase is taken into account. Thus, perturbations of hydrodynamic parameters are considered not only in the two-phase gasification zone, but also in the combustion products area and the geometric perturbation of the instantaneous combustion front (flame), distorting the shape of its surface, is also specified. That is the characteristic feature of the presented physical model. The mathematical eigenvalue problem is set and solved. This problem is reduced to an algebraic characteristic equation for a dimensionless complex eigenvalue, which positivity determines the instability. It is proved that in the limiting case of the absence of a liquid phase, absolute instability takes place. At the other limiting case-for perturbations with infinite wavelength-a transition to stability takes place. The latter fact indicates that the presence of a viscous liquid film and changes in the length of the gasification zone under the influence of perturbations have a significant stabilizing effect on solid fuel combustion. In the general case, a sufficient condition for the instability of the roots of the characteristic equation is analytically determined. The physical interpretation of the mathematical results explains the processes of autoturbulization of solid fuel combustion and the possible transition of combustion to deflagration explosion or detonation. The results of the study are in qualitative agreement with experimental data and can additionally be used for theoretical analysis of the stability of the liquid fuel combustion process in the combustion chamber

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Critical diameter and transverse waves of powder combustion

Marshakov

Istratov

2007

Combust Explos Shock Waves

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A critical review is given of the problem of powder extinction with a decrease in the sample diameter due to heat release. The results of our experimental studies of the critical combustion diameter are presented. A comparison of the experimental data on the critical diameter as a function of burning rate is shown to be the most informative. These functions follow a power law with an exponent of −1.15 to −1.17. The relations between the sizes of the cells (hot spots) formed by the set of transversewaves on the burning surface and the burning rate follow the same law. The sizes of the cells are 2.1-2.3 times smaller than the critical combustion diameter. It is also found that the transverse wave decays if its curvature exceeds a critical value.

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Cited by 12 publications

References 1 publication

Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

A theoretical study of stability of solid fuel burning with a twophase gasification area

Critical diameter and transverse waves of powder combustion

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Cited by 12 publications

References 1 publication

Oscillatory Thermopower Waves Based on Bi2Te3 Films

Oscillatory Thermopower Waves Based on Bi2Te3 Films

A theoretical study of stability of solid fuel burning with a two­phase gasification area

Critical diameter and transverse waves of powder combustion

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Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

Oscillatory Thermopower Waves Based on Bi₂Te₃ Films

A theoretical study of stability of solid fuel burning with a twophase gasification area