Characterization of signed Gauss paragraphs and skew-symmetric graded matrices

Rodríguez-Nieto, José Gregorio

doi:10.1142/s0218216518500025

Cited by 2 publications

(2 citation statements)

References 15 publications

(30 reference statements)

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“…If the available heat of the fuel flux Q p p and the yield of combustion products per the fuel mass unit V g with the heat capacity of the combustion products c p are substituted in the Formula (26), the local adiabatic temperature value of the flame continuum t ad can be determined when the obtained result is multiplied by the normal deviation function Φ(l f ) for the given coordinate l f [25][26][27]. The transition from Φ(U) to Φ(l f ) is realized by calculating the time of the particle size related burnout of fuel in accordance with (17), which corresponds to the time determined by the actual velocity of particles in the flame τ = l f /w f according to (19).…”

Section: Dynamics Of Particle Combustionmentioning

confidence: 99%

New Theoretical and Methodological Approaches to the Study of Heat Transfer in Coal Dust Combustion

2019

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The existing theories of heat transfer in combustion chambers of boiler units fail to take into account a number of important factors that affect the reliability of results, and the methodological approaches to optimizing combustion processes can be revised in view of the spatial and temporal parameters of flame. Hence, the research aimed to improve the fundamental theoretical and methodological principles of studying heat transfer in coal dust combustion in the combustion chambers of industrial steam generators. The authors proposed to extend the theory of heat transfer with the mathematical description of particle size distribution of coal dust. In addition, the authors used the developed mathematical model of coal dust combustion based on a continuous curve of the particle size distribution in the ensemble. The mathematical model is consistent with the aeromechanical and thermal characteristics of flame. This work introduced a concept of flame continuum as a continuous medium, where the processes of combustion and heat transfer are studied. To achieve the research aim, in this paper, the methods of combustion chamber zoning, the equations of stationary and non-stationary heat conduction, radiation, and convective heat transfer, were used. These methods were tested on a number of high-temperature units.

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Section: Dynamics Of Particle Combustionmentioning

confidence: 99%

New Theoretical and Methodological Approaches to the Study of Heat Transfer in Coal Dust Combustion

2019

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“…If the available heat of the fuel flux Qp p and the yield of combustion products per the fuel mass unit Vg with the heat capacity of the combustion products ср are substituted in the formula (26), the local adiabatic temperature value of the flame continuum tad can be determined when the obtained result is multiplied by the normal deviation function Ф(Lf) for the given coordinate Lf [25][26][27]. The transition from Φ(U) to Ф(Lf) is realized by calculating the time of the particle-size related burnout of fuel in accordance with (17), which corresponds to the time determined by the actual velocity of particles in the flame τ = lf/wf according to (19).…”

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confidence: 99%

Analysis of the calculated and experimental dependencies of the combustion of coal dust on the basis of a new methodological base of theoretical studies of heat exchange processes

Toropov¹,

Осинцев²,

Aliukov³

2018

IJHT

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The methodology of theoretical studies of heat exchange processes in boiler units based on the mathematical model of burning coal dust has been developed. For the first time, the continuous curve of the fractional composition of an ensemble of coal particles is presented. The mathematical model is consistent with the aeromechanical and thermal characteristics of the torch, obtained on the basis of calculated and experimental data. The concept of a torch continuum is introduced as a continuous medium in which the processes of combustion and heat exchange are investigated. The methods of dividing the combustion chamber into zones, the equations of stationary and non-stationary heat conduction, radiation and convective heat exchange are used. These methods have been tested on a number of high-temperature installations, including boilers with natural circulation, for example, E-220 at the CHP plant in Bishkek, Kyrgyz Republic in the Central Asian region. In the course of the experiments, coals with different thermal characteristics were burned. In a special computer program obtained a 3D image of burning coal dust. Analysis of the calculated and experimental data showed a discrepancy between them of 4-5%. Analysis of computer simulation data showed a discrepancy with the calculated data of 3-4%, and with experimental 5-6%. Thus, the dependence of the parameters of the heterogeneous flame on the mathematical description of the fractional composition of coal dust is substantiated and the characteristics of the combustion process, previously not taken into account in the theory of heat transfer, are revealed. The task was solved-theoretically confirmed new methodological approaches to the theory of heat transfer in the furnace of the boiler unit.

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Characterization of signed Gauss paragraphs and skew-symmetric graded matrices

Cited by 2 publications

References 15 publications

New Theoretical and Methodological Approaches to the Study of Heat Transfer in Coal Dust Combustion

New Theoretical and Methodological Approaches to the Study of Heat Transfer in Coal Dust Combustion

Analysis of the calculated and experimental dependencies of the combustion of coal dust on the basis of a new methodological base of theoretical studies of heat exchange processes

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