On the Influence of Spatial Distribution of Reflectors on the Initiation of Gas Detonation

The work is devoted to the mathematical modeling of the initiation of gas detonation in a channel with a profiled end wall. The two-dimensional geometry of the channel filled with a model hydrogen-oxygen mixture is considered. The mathematical model is based on the system of Euler equations suppleme...

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Vydáno v:Lobachevskii journal of mathematics Ročník 46; číslo 1; s. 273 - 282
Hlavní autor: Lopato, A. I.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.01.2025
Springer Nature B.V
Témata:
Algebra
Analysis
Computational grids
Detonation waves
Energy consumption
Engines
Euler-Lagrange equation
Finite volume method
Gas detonation
Gas flow
Geometry
Hydrogen
Mach number
Mathematical analysis
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Mixtures
Parameters
Probability Theory and Stochastic Processes
Propagation
Reflectors
Shock waves
Spatial distribution
Temperature
unstructured triangular grids
2010 Mathematics Subject Classification: 76M12, 76J20, 76V05
shock wave reflection
mixture combustion
compression waves
detonation initiation
ISSN:1995-0802, 1818-9962
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Abstract The work is devoted to the mathematical modeling of the initiation of gas detonation in a channel with a profiled end wall. The two-dimensional geometry of the channel filled with a model hydrogen-oxygen mixture is considered. The mathematical model is based on the system of Euler equations supplemented by Arrhenius kinetics. Numerical experiments are carried out using triangular computational grids and the finite volume method. The formation of detonation waves occurs as a result of reflection of the incident plane shock wave with a Mach number of 2.45 from the end of the channel consisting of two elliptical fragments and sections of the flat wall. The distance between the elliptical sections varied widely to study the influence of this parameter on the processes of ignition of the mixture and formation of detonation waves. A nonlinear dependence of the detonation initiation time on this parameter was obtained. The nonlinear dependence is associated with different degrees of influence of factors affecting the intensity of the process of mixture combustion and the formation of detonation waves.
AbstractList The work is devoted to the mathematical modeling of the initiation of gas detonation in a channel with a profiled end wall. The two-dimensional geometry of the channel filled with a model hydrogen-oxygen mixture is considered. The mathematical model is based on the system of Euler equations supplemented by Arrhenius kinetics. Numerical experiments are carried out using triangular computational grids and the finite volume method. The formation of detonation waves occurs as a result of reflection of the incident plane shock wave with a Mach number of 2.45 from the end of the channel consisting of two elliptical fragments and sections of the flat wall. The distance between the elliptical sections varied widely to study the influence of this parameter on the processes of ignition of the mixture and formation of detonation waves. A nonlinear dependence of the detonation initiation time on this parameter was obtained. The nonlinear dependence is associated with different degrees of influence of factors affecting the intensity of the process of mixture combustion and the formation of detonation waves.
Author Lopato, A. I.
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Issue 1
Keywords unstructured triangular grids
2010 Mathematics Subject Classification: 76M12, 76J20, 76V05
shock wave reflection
mixture combustion
compression waves
detonation initiation
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Snippet The work is devoted to the mathematical modeling of the initiation of gas detonation in a channel with a profiled end wall. The two-dimensional geometry of the...
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SubjectTerms Algebra
Analysis
Computational grids
Detonation waves
Energy consumption
Engines
Euler-Lagrange equation
Finite volume method
Gas detonation
Gas flow
Geometry
Hydrogen
Mach number
Mathematical analysis
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Mixtures
Parameters
Probability Theory and Stochastic Processes
Propagation
Reflectors
Shock waves
Spatial distribution
Temperature
Title On the Influence of Spatial Distribution of Reflectors on the Initiation of Gas Detonation
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