Integral method for study of hydrodynamic stability of a laminar flame

Асланов, С. К.; Волков, В. Э.

doi:10.1007/bf00784941

Cited by 5 publications

(25 citation statements)

References 3 publications

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“…2) in a perturbed state (this factor was not taken into account in [24]). It is known that a change in the thickness of the flame zone under the action of perturbations is a stabilizing factor for the homogeneous gas mixtures combustion [30]. Obviously, this same effectperhaps just a mechanical one -takes place in this case too.…”

Section: Physical Interpretation Of the Resultsmentioning

confidence: 90%

“…The result looks somewhat paradoxical, since the physical reasons for the stabilization of the process are not entirely clear. Viscosity is always a significant stabilizing factor for burning [24,30]. But in this case, it should not directly influence the development of disturbances.…”

Section: Physical Interpretation Of the Resultsmentioning

confidence: 99%

“…2 . δ For unstable perturbations, it is possible to find -just as it is done in [30] -the wavelength λ m with the maximum increment of the amplitude growth. The physical realization of such perturbations should be expected primarily.…”

Section: Analysis Of the Characteristic Equationmentioning

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: Physical Interpretation Of the Resultsmentioning

confidence: 90%

Section: Physical Interpretation Of the Resultsmentioning

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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“…2. The main stabilizing factor for flames is viscosity [6]. But this factor is not taken into account in present investigation.…”

Section: Discussionmentioning

confidence: 91%

TWO-DIMENSIONAL FLAME INSTABILITY AND CONTROL OF BURNING IN THE HAlF-OPEN FIRECHAMBER

Волков

2016

ATBP

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The flame stability with regard to two-dimensional exponential perturbations both for the combustion in the half-open fire-chamber and the flame propagating in half-open channels is investigated. It is proved that only instability ispossible for the combustion process. At the same time the one-dimensional flame instability is guaranteed near the front wall of the fire-chamber where the fuel supply is realized. Possibilities for the control of combustion in the halfopenfire-chamber and diminishing of intensity of pulsations are discussed.

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“…It is supposed, that fuzzy estimation i E (0≤ i E ≤1) for the explosiveness of i-th object (1≤i≤n) is known. Value i E can be estimated on the solution of the flame stability problem [1,2]. It is obvious that…”

Section: Main Bodymentioning

confidence: 99%

Graph Modeling of the Grain Processing Enterprise for Secondary Explosion Estimations

Попов

2016

ATBP

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55Conclusions -Development of system of automatic control of the process of champagne wines to install akratofor improves the quality of the finished product.-To Improve performance in temperature control channel further measure temperature wine material and this information is used in a cascade ATS endpoint -the pressure of the wine material.-Designed SCADA-system for process operators, allows you to monitor the progress of the process and manage the entire system from the operator's point. References[1] MetodichnI vkazIvki do vikonannya ta oformlennya kursovoYi roboti z distsiplIni «TeorIya avtomatichnogo keruvannya »dlya studentIv spetsIalnostey 7.092501 dennoYi ta zaochnoYi form navchannya / Avtor:V.A. HobIn -Odesa: ONAHT, 2000. [2] Konspekt kursa lektsiy po distsipline -Teoriya avtomaticheskogo upravleniya‖ (chast I)-Hobin V.A. OGAPT. Odessa -2007 g. [3] Konspekt kursa lektsiy po distsipline -Teoriya avtomaticheskogo upravleniya‖ (chast II)-Hobin V.A. OGAPT. Odessa -2007 g. AbstractMathematical model for the possible development of the primary explosion at the grain processing enterprise is created. It is proved that only instability is possible for the combustion process. This model enables to estimate possibility of the secondary explosion at any object of the enterprise and forms the base for mathematical support of the decision support system for explosion-proof. Such decision support system can be included in the control system of the processing enterprise. KeywordsGrain processing enterprise, explosion, secondary explosion, decision support system, control system, graph, fuzzy estimation, the shortest path in the graph.

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Integral method for study of hydrodynamic stability of a laminar flame

Cited by 5 publications

References 3 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

TWO-DIMENSIONAL FLAME INSTABILITY AND CONTROL OF BURNING IN THE HAlF-OPEN FIRECHAMBER

Graph Modeling of the Grain Processing Enterprise for Secondary Explosion Estimations

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Integral method for study of hydrodynamic stability of a laminar flame

Cited by 5 publications

References 3 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

TWO-DIMENSIONAL FLAME INSTABILITY AND CONTROL OF BURNING IN THE HAlF-OPEN FIRECHAMBER

Graph Modeling of the Grain Processing Enterprise for Secondary Explosion Estimations

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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