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

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.208440

Keywords:

solid fuel combustion, fuel gasification, combustion instability, deflagration explosion, detonation

Abstract

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

Author Biographies

Viktor Volkov, Odessa I. I. Mechnikov National University Dvorianska str., 2, Odessa, Ukraine, 65082

Doctor of Technical Sciences, Professor

Department of Theoretical Mechanics

Natalia Makoyed, Odessa National Academy of Food Technologies Kanatna str., 112, Odessa, Ukraine, 65039

PhD, Associate Professor

Department of Information Technologies and Cybersecurity

Yuliia Loboda, Odessa National Academy of Food Technologies Kanatna str., 112, Odessa, Ukraine, 65039

PhD, Associate Professor

Department of Information Technologies and Cybersecurity

Oksana Sokolova, Odessa National Academy of Food Technologies Kanatna str., 112, Odessa, Ukraine, 65039

Senior Lecturer

Department of Information Technologies and Cybersecurity

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Published

2020-08-31

How to Cite

Volkov, V., Makoyed, N., Loboda, Y., & Sokolova, O. (2020). A theoretical study of stability of solid fuel burning with a two­phase gasification area. Eastern-European Journal of Enterprise Technologies, 4(8 (106), 54–65. https://doi.org/10.15587/1729-4061.2020.208440

Issue

Vol. 4 No. 8 (106) (2020): Energy-saving technologies and equipment

Section

Energy-saving technologies and equipment

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Copyright (c) 2020 Viktor Volkov, Natalia Makoyed, Yuliia Loboda, Oksana Sokolova

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