Negative erosion effect and the emergence of unstable combustion. 2. numerical simulation

Сабденов, К. О.; Erzada, M.

doi:10.1134/s001050821602009x

Cited by 2 publications

(2 citation statements)

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“…This effect is that under certain conditions, the burning rate decreases when the burning surface of fuel is blown in a parallel flow. Various attempts to describe and explain the Vilyunov -Dvoryashin effect in more detail [26][27][28] led to the need of studying the problem of hydrodynamic stability in the zone of solid fuel gasification [24].…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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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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Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…i. e. in the case of a very thin film, which is the most important from the viewpoint of erosive effect [22][23][24][25][26][27][28], the conclusion about the absolute instability of the combustion process remains valid.…”

Section: Analysis Of the Characteristic Equationmentioning

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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A Simple Theory of Multicomponent Diffusion and Simulation of the Combustion of a Stoichiometric H2/O2 Mixture

2022

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Negative erosion effect and the emergence of unstable combustion. 2. numerical simulation

Cited by 2 publications

References 6 publications

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

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

A Simple Theory of Multicomponent Diffusion and Simulation of the Combustion of a Stoichiometric H2/O2 Mixture

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Negative erosion effect and the emergence of unstable combustion. 2. numerical simulation

Cited by 2 publications

References 6 publications

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

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

A Simple Theory of Multicomponent Diffusion and Simulation of the Combustion of a Stoichiometric H2/O2 Mixture

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

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